String Formatting for TimeSpan

By default a TimeSpan is formatted like this hh:mm:ss

I wanted to format a TimeSpan in XAML and differentiate it from a normal time format, something like this 02h30m

After a bit of fiddling with curly brackets and back slashes I settled on:

"{Binding Path=Duration, StringFormat={}{0:hh}h{0:mm}m}"

WPF DataGrid Custom Column Sorting

With thanks to Aran Holland with this Stackoverflow answer.
I wanted to sort a DataGrid by StudentID. Unfortunately the StudentID is mainly numeric but with an alpha prefix - typically S12345. Paul had previously written SortableStringValue so I just needed to hook that up to the DataGrid using a custom class that implements IComparer.
In the code-behind I hooked up the DataGrid's Sorting event in the constructor.

public StudentCourseSearchView()
{
   InitializeComponent();

   SearchResults.Sorting += new DataGridSortingEventHandler(SearchResults_Sorting);
}

Then in the private SearchResults_Sorting method I determine if it is the StudentID column that is being sorted and instantiate the custom sorting class.

void SearchResults_Sorting(object sender, System.Windows.Controls.DataGridSortingEventArgs e)
{
   DataGridColumn column = e.Column;

   // I'm only interested in a custom sort for the StudentID column
   if (column.SortMemberPath != "StudentID.Number") return;

   IComparer comparer = null;

   // Prevent the built-in sort from sorting 
   e.Handled = true;

   ListSortDirection direction = (column.SortDirection != ListSortDirection.Ascending) ? ListSortDirection.Ascending : ListSortDirection.Descending;

   // Set the sort order on the column 
   column.SortDirection = direction;

   //use a ListCollectionView to do the sort. 
   ListCollectionView lcv = (ListCollectionView)CollectionViewSource.GetDefaultView(TypedViewModel.Students);

   // Instantiate the custom sort class which implements IComparer
   comparer = new StudentSearchResultStudentIdSort(direction);

   // Apply the sort 
   lcv.CustomSort = comparer;
}

Finally, the StudentSearchResultStudentIdSort class implements the Compare method using the SortableStringValue extension method.

public class StudentSearchResultStudentIdSort : IComparer
{
   ListSortDirection _direction;

   public StudentSearchResultStudentIdSort(ListSortDirection direction)
   {
      _direction = direction;
   }
   public int Compare(object x, object y)
   {
      string studentIdX = (x as StudentSearchResult).StudentID.Value;
      string studentIdY = (y as StudentSearchResult).StudentID.Value;

      if (_direction == ListSortDirection.Ascending)
      {
         return studentIdX.SortableStringValue().CompareTo(studentIdY.SortableStringValue());
      }
      else
      {
         return studentIdY.SortableStringValue().CompareTo(studentIdX.SortableStringValue());
      }
   }
}

Editing XAML in Visual Studio

For no apparent reason VS 2010 decided to start crashing when editing XAML files. So I changed the default editor used to "Source Code (Text) Editor" which gives me syntax colouring and Intellisense but without the (crashing) Design view.
In the Solution Explorer Right-click on any XAML file and choose "Open With...".

To use the Design mode simply select the XAML file and click the "View Designer" icon in the Solution Explorer toolbar.

WPF Property Value Precedence and Style Setter

My DataTrigger / Setter was not changing the StrokeThickness property because it was exclicitly set in the Rectange tag. Property Value Precedence meant that the Setter was being overriden by the explicit property value. Moving the StrokeThickness default value into its own Setter fixed my problem.

<Rectangle
            Stroke="Black">
   <Rectangle.Style>
      <Style TargetType="{x:Type Rectangle}">
         <Setter Property="StrokeThickness"
                  Value="1" />
         <Style.Triggers>
            <DataTrigger Binding="{Binding Path=Selected}"
                           Value="True">
               <Setter Property="StrokeThickness"
                        Value="2" />
            </DataTrigger>
         </Style.Triggers>
      </Style>
   </Rectangle.Style>
</Rectangle>

Simple WPF ColorPicker ComboBox

I needed a ColorPicker that could be embedded in a DataGrid, simple to operate and could save the color name in the database. A ComboBox seemed the obvious choice.
A simple list of colors is reasonably straightforward using a little Reflection:

      public List<string> SimpleColorList
      {
         get
         {
            List<string> colorList = new List<string>();
            foreach (PropertyInfo pi in typeof(Colors).GetProperties())
            {
               colorList.Add(pi.Name);
            }
            return colorList;
         }
      }

And bound it to a ComboBox. Using Mode=OneTime means the ColorList is only built once.

<ComboBox ItemsSource="{Binding Path=SimpleColorList, Mode=OneTime}"
            SelectedValue="{Binding SelectedColor}"
            Width="200" />

Adding a ItemTemplate to the ComboBox makes it a little more interesting:

<ComboBox ItemsSource="{Binding Path=SimpleColorList, Mode=OneTime}"
            SelectedValue="{Binding SelectedColor}"
            Width="200">
   <ComboBox.ItemTemplate>
      <DataTemplate>
         <StackPanel Orientation="Horizontal">
            <TextBlock Width="130"
                        Text="{Binding}" />
            <Border BorderBrush="Black"
                     BorderThickness="1"
                     CornerRadius="4"
                     Margin="0,1,0,1"
                     Background="{Binding}"
                     Width="40"
                     Height="18">
            </Border>
         </StackPanel>
      </DataTemplate>
   </ComboBox.ItemTemplate>
</ComboBox>

The straight alphabetic sorted list is fine but I wanted to sort by "color", in general terms from lighter to darker. I found some code on the web that would convert the RGB into the HSL color space. (I'm afraid I can't find the code again so my apologies to its author for the lack of attribution).

   public static class HslValueConverter
   {
      /// <summary>
      /// Converts a WPF RGB color to an HSL color
      /// </summary>
      /// <param name="rgbColor">The RGB color to convert.</param>
      /// <returns>An HSL color object equivalent to the RGB color object passed in.</returns>
      public static HslColor RgbToHsl(string name, Color rgbColor)
      {
         // Initialize result
         var hslColor = new HslColor();
         hslColor.Name = name;

         // Convert RGB values to percentages
         double r = (double)rgbColor.R / 255;
         var g = (double)rgbColor.G / 255;
         var b = (double)rgbColor.B / 255;
         var a = (double)rgbColor.A / 255;

         // Find min and max RGB values
         var min = Math.Min(r, Math.Min(g, b));
         var max = Math.Max(r, Math.Max(g, b));
         var delta = max - min;

         /* If max and min are equal, that means we are dealing with 
          * a shade of gray. So we set H and S to zero, and L to either
          * max or min (it doesn't matter which), and  then we exit. */

         //Special case: Gray
         if (max == min)
         {
            hslColor.Hue = 0;
            hslColor.Saturation = 0;
            hslColor.Lightness = max;
            return hslColor;
         }

         /* If we get to this point, we know we don't have a shade of gray. */

         // Set L
         hslColor.Lightness = (min   max) / 2;

         // Set S
         if (hslColor.Lightness < 0.5)
         {
            hslColor.Saturation = delta / (max   min);
         }
         else
         {
            hslColor.Saturation = delta / (2.0 - max - min);
         }

         // Set H
         if (r == max) hslColor.Hue = (g - b) / delta;
         if (g == max) hslColor.Hue = 2.0   (b - r) / delta;
         if (b == max) hslColor.Hue = 4.0   (r - g) / delta;
         hslColor.Hue *= 60;
         if (hslColor.Hue < 0) hslColor.Hue  = 360;

         // Set A
         hslColor.Alpha = a;

         // Set return value
         return hslColor;

      }
   }
   public struct HslColor
   {
      public string Name { get; set; }
      public double Alpha;
      public double Hue;
      public double Lightness;
      public double Saturation;
   }

Then I changed the property (Note: the property name has changed to SortedColorList, so the ComboBox Binding will have to be altered) "getter" to sort by Saturation, Hue and Lightness. I also decided to exclude the Transparent color.

      public List<string> SortedColourList
      {
         get
         {
            List<HslColor> colorList = new List<HslColor>();
            foreach (PropertyInfo pi in typeof(Colors).GetProperties())
            {
               Color color = (Color)pi.GetValue(null, null);
               // Only select non-Transparent colors
               if (color.A != 0) colorList.Add(HslValueConverter.RgbToHsl(pi.Name, color));
            }
            return colorList.OrderBy(c => c.Saturation)
                         .OrderBy(c => c.Hue)
                         .OrderByDescending(c => c.Lightness)
                         .Select(c => c.Name).ToList<string>();
         }
      }

The SimpleColorPicker project is available on GoogleCode.

DataType instead of DataTemplateSelector

Nearly three years ago I posted about the use of the DataTemplateSelector.
It transpires that because I was using different types of objects in my ItemsSource I could have used the DataType attribute of the DataTemplate.
Define the DataTemplates in the usual way but add the DataType attribute.

      <DataTemplate DataType="{x:Type dts:BookingLineItem}">
      <DataTemplate DataType="{x:Type dts:CCardPaymentLineItem}">
      <DataTemplate DataType="{x:Type dts:CashPaymentLineItem}">
      <DataTemplate DataType="{x:Type dts:LineItem}">

There is no need to define the DataTemplateSelector in the resources, no C# class to write and the ListBox becomes simpler:

      <ListBox Name="theSecondTillRoll"
               Height="150"
               Width="330"
               ItemsSource="{Binding SaleItems}" />

The DataTemplateSelector project is on GoogleCode and demonstrates both techniques.

Firing up the default Browser

This simple snippet shows how to display a URL in a WPF window and fire up the default browser when the link is clicked.
Starting with a TextBlock in the XAML:

      <TextBlock>
         <Hyperlink Click="Hyperlink_Click"
                    NavigateUri="http://mikestedman.blogspot.com/2012/03/wpf-string-formatting.html">Link to original WPF Waltz blog entry</Hyperlink>
      </TextBlock>

And a simple event handler in the code-behind:

      private void Hyperlink_Click(object sender, RoutedEventArgs e)
      {
         Process.Start((sender as Hyperlink).NavigateUri.ToString());
      }

WPF String Formatting

There are a number of ways to use formatted strings and we seem to use nearly all of them in our application. Because the format of the formatting string varies slightly I thought I'd document the different techniques.
Firstly we need some simple properties for the XAML Bindings. Notice that the ToString version needs neither the index (0:) or the curly braces.

public partial class MainWindow : Window
{
   public String FormattedDate
   {
      get { return String.Format("{0:dd MMM yyy}", DateTime.Now); }
   }
   public String DateToString
   {
      get { return DateTime.Now.ToString("dd MMM yyy"); }
   }
   public DateTime RawDateTime
   {
      get { return DateTime.Now; }
   }
   public MainWindow()
   {
      InitializeComponent();
      DataContext = this;
   }
}

The first two TextBlocks bind directly to the pre-formatted properties.

      <TextBlock Text="{Binding FormattedDate}" />
      <TextBlock Text="{Binding DateToString}" />

Or we can bind to the raw data and use StringFormat. We can escape the curly braces in a couple of ways.

      <TextBlock Text="{Binding Path=RawDateTime, StringFormat=\{0:dd MMM yyyy\}}" />
      <TextBlock Text="{Binding Path=RawDateTime, StringFormat={}{0:dd MMM yyyy}}" />

The leading curly braces in the second version can be replaced by constant text that is rendered as part of the formatted string. But it seems a bit "sensitive" so I don't use it.

      <TextBlock Text="{Binding Path=RawDateTime, StringFormat=Today is {0:dd MMM yyyy}}" />

Next up is a Converter for which we need an IValueConverter class:

class DateConverter : IValueConverter
{
   public object Convert(object value, Type targetType, object parameter, CultureInfo culture)
   {
      if (value is DateTime)
      {
         return ((DateTime)value).ToString("dd MMM yyy");
      }
      return value;
   }

   public object ConvertBack(object value, Type targetType, object parameter, CultureInfo culture)
   {
      throw new NotImplementedException();
   }
}

And the corresponding XAML to use the Converter:

        xmlns:local="clr-namespace:WpfWaltz"
...
   <Window.Resources>
      <local:DateConverter x:Key="dateConverter"; />
   </Window.Resources>
...
      <TextBlock Text="{Binding Path=RawDateTime, Converter={StaticResource dateConverter}}" />

Finally, I had assumed that the indexer in the StringFormat was just a necessary evil since it was always 0: and hadn't considered using StringFormat with a MultiBinding like this:

      <TextBlock>
         <TextBlock.Text>
            <MultiBinding StringFormat="{}{0:dd MMM yyyy} {1:hh:mm:ss}">
               <Binding Path="RawDateTime" /> 
               <Binding Path="RawDateTime" />
            </MultiBinding>
         </TextBlock.Text>
      </TextBlock>

The StringFormatting project that has all the code can be downloaded from GoogleCode.

DataGrid loading message User Control

The DataGrid loading message I created was pretty straightforward and easy to replicate in other DataGrids. But that isn't the WPF way. So instead I spent many happy hours converting into a User Control.

The Specification
Whilst the dataset is being retrieved display a "loading" message.
Once the dataset load is complete if there are no suitable records to list display a "empty dataset" message.

Executive Summary
Skip the details and download the source from GoogleCode.

The Implementation
Starting with a new User Control and adding two dependency properties to store the "loading" and "empty dataset" messages.

   public partial class DataGridProgressBar : UserControl
   {
      public readonly static DependencyProperty LoadingMessageProperty =
         DependencyProperty.Register(
            "LoadingMessage",
            typeof(string),
            typeof(DataGridProgressBar));

      public readonly static DependencyProperty EmptyDatasetMessageProperty =
         DependencyProperty.Register(
            "EmptyDatasetMessage",
            typeof(string),
            typeof(DataGridProgressBar));

      public string LoadingMessage
      {
         get { return (string)GetValue(LoadingMessageProperty); }
         set { SetValue(LoadingMessageProperty, (string)value); }
      }
      public string EmptyDatasetMessage
      {
         get { return (string)GetValue(EmptyDatasetMessageProperty); }
         set { SetValue(EmptyDatasetMessageProperty, (string)value); }
      }
   }

Next the user control needs to know the state of the dataset loading and the number of records in the dataset.
So time to add another couple of dependency properties.

      public readonly static DependencyProperty RecordCountProperty = 
         DependencyProperty.Register(
            "RecordCount", 
            typeof(long), 
            typeof(DataGridProgressBar));
      
      public readonly static DependencyProperty LoadInProgressProperty = 
         DependencyProperty.Register(
            "LoadInProgress", 
            typeof(bool?), 
            typeof(DataGridProgressBar));

      public long RecordCount
      {
         get { return (long)GetValue(RecordCountProperty); }
         set { SetValue(RecordCountProperty, (long)value); }
      }

      public bool? LoadInProgress
      {
         get { return (bool?)GetValue(LoadInProgressProperty); }
         set { SetValue(LoadInProgressProperty, (bool?)value); }
      }

Next we turn our attention to the XAML for the new User Control, remembering to add a namespace reference:

<UserControl x:Class="DataGridWatermark.DataGridProgressBar"
             xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
             xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
             xmlns:mc="http://schemas.openxmlformats.org/markup-compatibility/2006"
             xmlns:local="clr-namespace:DataGridWatermark">

The actual control consists of just a single, named, TextBlock:

<UserControl .......

   <TextBlock x:Name="PART_Message" />
</UserControl>

All the hard work is done in the Style which has three main parts:
1) Initial / default style
2) Changes to the style in the Data Loading state
3) Changes to the style when there is no data to be shown.

The initial style hides the TextBlock by setting its Visibility to Collapsed, a Red font and binds to the LoadingMessage property.

      <Style TargetType="{x:Type TextBlock}">
         <Setter Property="Visibility"
                 Value="Collapsed" />
         <Setter Property="Foreground"
                 Value="Red" />
         <Setter Property="Text"
                 Value="{Binding LoadingMessage}"; />
...
      </Style>

We use a DataTrigger to detect the data loading state by binding to the LoadInProgress property and changing the Visibility from Collapsed to Visible.

         <Style.Triggers>
            <DataTrigger Binding="{Binding LoadInProgress}"
                         Value="true">
               <Setter Property="Visibility"
                       Value="Visible" />
            </DataTrigger>
...
         </Style.Triggers>

The empty dataset is a little more complicated because there are two conditions that need to be satisfied before the Empty Dataset message is displayed. The two conditions are specified inside a MultiDataTrigger.

            <MultiDataTrigger>
               <MultiDataTrigger.Conditions>
                  <Condition Binding="{Binding RecordCount}"
                             Value="0" />
                  <Condition Binding="{Binding LoadInProgress}"
                             Value="false" />
               </MultiDataTrigger.Conditions>
               <Setter Property="Foreground"
                       Value="Silver" />
               <Setter Property="Text"
                       Value="{Binding EmptyDatasetMessage}" />
               <Setter Property="Visibility"
                       Value="Visible" />
            </MultiDataTrigger>

The final piece of the jigsaw is providing a DataContext for the property bindings. I chose to explicitly set the DataContext in the code-behind in the constructor.

public DataGridProgressBar()
{
   InitializeComponent();
   PART_Message.DataContext = this;
}

And finally we can add it to the original DataGrid.

<Window x:Class="DataGridWatermark.MainWindow"
        xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
        xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
        xmlns:uc="clr-namespace:DataGridWatermark"
...
      <DataGrid>
         <DataGrid.Background>
            <VisualBrush Stretch="None">
               <VisualBrush.Visual>
                  <StackPanel>
                     <uc:DataGridProgressBar LoadingMessage="Loading..."
                                             EmptyDatasetMessage="No Records Found"
                                             RecordCount="{Binding Path=TheRecordCount}"
                                             LoadInProgress="{Binding Path=TheLoadState}" />
                  </StackPanel>
               </VisualBrush.Visual>
            </VisualBrush>
         </DataGrid.Background>
...
</Window>

Datagrid loading message and VisualBrush

I have to load a DataGrid from a slow running DB query. To keep the UI responsive I'm running the data retrieval on a worker thread but I wanted an inobtrusive message to be displayed to the User during the loading phase. I replaced the DataGrid's Background with a TextBlock contained in VisualBrush. With the TextBlock's Text and Visibility bound to the underlying ViewModel. For those cases where there is no data to be shown in the DataGrid I show an alternate message.

<DataGrid ItemsSource="{Binding Source{StaticResource ViewModel},Path=EnrolledStudents}"
            CanUserAddRows="False"
            CanUserDeleteRows="False"
            AutoGenerateColumns="False"
            IsReadOnly="True">
   <DataGrid.Background>
      <VisualBrush Stretch="None">
         <VisualBrush.Visual>
            <StackPanel Background="White">
               <TextBlock HorizontalAlignment="Center"
                           VerticalAlignment="Center"
                           FontSize="10pt"
                           Margin="2"
                           Foreground="Red"
                           Text="{Binding Path=Strings.V_LabelLoading}"
                           Visibility="{Binding Source{StaticResource ViewModel}, Path=EnrolledStudentLoadingInProgress, Converter={StaticResource boolToCollapsedVisibilityConverter}}" />
               <TextBlock HorizontalAlignment="Center"
                           VerticalAlignment="Center"
                           FontSize="10pt"
                           Margin="2"
                           Foreground="Silver"
                           Text="{Binding Path=Strings.V_LabelNoEnrolledStudents}"
                           Visibility="{Binding Source{StaticResource ViewModel}, Path=NoEnrolledStudents, Converter={StaticResource boolToCollapsedVisibilityConverter}}" />
            </StackPanel>
         </VisualBrush.Visual>
      </VisualBrush>
   </DataGrid.Background>
   <DataGrid.Columns>

ItemsControl horizontal content layout

ItemsControl lays out its content vertically by default. To arrange it horizontally we set the Orientation of the StackPanel in the ItemsPanelTemplate. In XAML like this:

<ItemsControl>
   <ItemsControl.ItemsPanel>
      <ItemsPanelTemplate>
         <StackPanel Orientation="Horizontal"/>
      </ItemsPanelTemplate>
   </ItemsControl.ItemsPanel>
</ItemsControl>

And in C#, working from the deepest levels outward, like this:

FrameworkElementFactory factoryPanel =
   new FrameworkElementFactory(typeof(StackPanel));
factoryPanel.SetValue(
   StackPanel.OrientationProperty,
   Orientation.Horizontal);

ItemsPanelTemplate template = new ItemsPanelTemplate();
template.VisualTree = factoryPanel;

ItemsControl itemsControl = new ItemsControl();
itemsControl.ItemsPanel = template;

Drawing a semi-circle using Ellipse and Clipping

I needed to draw a filled semi-circle and Clip seems to do the job nicely. The RectangleGeometry describes the part of the clipped image that you want to be able to see.

<Ellipse
   Width="20"
   Height="20"
   Canvas.Left="20"
   Canvas.Top="0"
   Stretch="Fill" 
   Stroke="Black" 
   Fill="Red">
   <Ellipse.Clip>
      <RectangleGeometry Rect="0,10,20,20"/>
   </Ellipse.Clip>
</Ellipse>

And here is a fuller example with all four semi-circle rotations:

<Canvas VerticalAlignment="Center">
   <Ellipse
      Width="20"
      Height="20"
      Canvas.Left="20"
      Canvas.Top="0"
      Stretch="Fill" 
      Stroke="Black" 
      Fill="Red">
      <Ellipse.Clip>
         <RectangleGeometry Rect="0,10,20,20"/>
      </Ellipse.Clip>
   </Ellipse>
   <Ellipse
      Width="20"
      Height="20"
      Canvas.Left="60"
      Canvas.Top="0"
      Stretch="Fill" 
      Stroke="Black" 
      Fill="Red">
      <Ellipse.Clip>
         <RectangleGeometry Rect="0,0,10,20"/>
      </Ellipse.Clip>
   </Ellipse>
   <Ellipse
      Width="20"
      Height="20"
      Canvas.Left="100"
      Canvas.Top="0"
      Stretch="Fill" 
      Stroke="Black" 
      Fill="Red">
      <Ellipse.Clip>
         <RectangleGeometry Rect="10,0,10,20"/>
      </Ellipse.Clip>
   </Ellipse>
   <Ellipse
      Width="20"
      Height="20"
      Canvas.Left="140"
      Canvas.Top="0"
      Stretch="Fill" 
      Stroke="Black" 
      Fill="Red">
      <Ellipse.Clip>
         <RectangleGeometry Rect="0,10,20,20"/>
      </Ellipse.Clip>
   </Ellipse>
</Canvas>

Which gives this result:

DataGridTextColumn Text Alignment (improved)

From Martin: I’ve been using this technique DataGridTextColumn Text Alignment, but I found it had 2 weird effects which I ran by Katharine yesterday.

1. If you clicked on the row just to the left of the value, it wasn’t registering and selecting the row
2. When the row was selected, the value was highlighted weirdly in a dark blue “selected” box

Apparently, that approach was overwriting the usual cell style template and making the textblock behave a little strangely.
With the ElementStyle change she suggested, the 2 issues above went away, so it seems to be the right way to do it.

Courtesy of Katharine, this is the correct way:

<DataGridTextColumn Header="Blah" Binding="{Binding Blah}">
   <DataGridTextColumn.ElementStyle>
      <Style TargetType="{x:Type TextBlock}">
         <Setter Property="TextAlignment" Value="Right" />
      </Style>
   </DataGridTextColumn.ElementStyle>
</DataGridTextColumn>

Alternatively the style can be set up as StaticResource if it needs to be referenced by several DataGrid columns.

<Style x:Key="rightAlignedColumn" TargetType="{x:Type TextBlock}">
   <Setter Property="TextAlignment" Value="Right" />
</Style>

...

<DataGridTextColumn Header="Blah"
                    Binding="{Binding Blah}"
                    ElementStyle="{StaticResource rightAlignedColumn}">
</DataGridTextColumn>

RadioButton groups

A workaround from Martin for RadioButton groups.

There’s a bug in WPF (still) around RadioButton groups which doesn’t immediately manifest but will eventually seem to strike.

There’s a slightly confusing summary of issues here : http://social.msdn.microsoft.com/forums/en-US/wpf/thread/8eb8280a-19c4-4502-8260-f74633a9e2f2/

Suffice to say if you have 2 (or more) radio buttons and put them in the same group, they will reliably update each others status for a while as you’d expect. At some point (in my case I found this reliably happens after changing Document tabs a few times, or going forwards & back again in a Wizard workflow), the bindings stop working and you end up unable to check either RadioButton anymore.

I’ve messed around with various approaches – a couple are suggested in the post above.
The simplest option appears however to simply drop the GroupName=”x” from the XAML and simply do the “single-selection” logic yourself in the backing properties on your VM.

i.e. :

<RadioButton ssform:FormItem.LabelContent="{Binding Source={StaticResource ViewModel}, Path=Strings.V_Coupon, Mode=OneTime}"
                            Content="{Binding Source={StaticResource ViewModel}, Path=Strings.V_eCoupon, Mode=OneTime}"
                            IsEnabled="{Binding Source={StaticResource ViewModel}, Path=IsCouponATrigger}"
                            IsChecked="{Binding Source={StaticResource ViewModel}, Path=IsECouponATrigger, Mode=TwoWay}" />
<RadioButton Content="{Binding Source={StaticResource ViewModel}, Path=Strings.V_PrintCoupon, Mode=OneTime}"
                            IsEnabled="{Binding Source={StaticResource ViewModel}, Path=IsCouponATrigger}"
                            IsChecked="{Binding Source={StaticResource ViewModel}, Path=IsPrintedCouponATrigger, Mode=TwoWay}" />

and

public bool IsPrintedCouponATrigger
{
   get { return PromoBase.UIChoices.IsPrintedCouponATrigger; }
   set
   {
      if (value != PromoBase.UIChoices.IsPrintedCouponATrigger)
      {
         PromoBase.UIChoices.IsPrintedCouponATrigger = value;
         IsECouponATrigger = !value;
         OnPropertyChanged("IsPrintedCouponATrigger");
      }
   }
}
public bool IsECouponATrigger
{
   get { return PromoBase.UIChoices.IsECouponATrigger; }
   set
   {
      if (value != PromoBase.UIChoices.IsECouponATrigger)
      {
         PromoBase.UIChoices.IsECouponATrigger = value;
         IsPrintedCouponATrigger = !value;
         OnPropertyChanged("IsECouponATrigger");
      }
   }
}

Note the check that the value has actually changed in the setter – without this, you get into a nice infinite loop of PropertyChange notifications as each changes the other in turn!

Annoying bug, but simple enough to work around once you know about it..

3D VisualBrush and TextureCoordinates

This post starts with the last example from the 3D Towards a Solid post.
The previous examples all used a single colour for the Material applied to a surface.
This example replaces the Brush with a StackPanel containing a TextBlock and Button.

<Grid Background="AliceBlue">
   <Viewport3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <Model3DGroup>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, -0.5  0.5, -0.5, -0.5  0.5, 0.5, -0.5  -0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>1 0 3 3 2 1</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, +0.5  0.5, -0.5, +0.5  0.5, 0.5, +0.5  -0.5, 0.5, +0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>0 1 2 2 3 0</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>

                     <DiffuseMaterial.Brush>
                        <VisualBrush>
                           <VisualBrush.Visual>
                              <StackPanel>
                                 <TextBlock FontSize="10pt"
                                            Margin="2">Hello, from the Front!</TextBlock>
                                 <Button Margin="2">A Button</Button>
                              </StackPanel>
                           </VisualBrush.Visual>
                        </VisualBrush>
                     </DiffuseMaterial.Brush>

                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, -0.5  -0.5, -0.5, 0.5  -0.5, 0.5, 0.5  -0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>0 1 2 2 3 0</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>0.5, -0.5, -0.5  0.5, -0.5, 0.5  0.5, 0.5, 0.5  0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>1 0 3 3 2 1</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>
            </Model3DGroup>
         </ModelVisual3D.Content>
         <ModelVisual3D.Transform>
            <RotateTransform3D>
               <RotateTransform3D.Rotation>
                  <AxisAngleRotation3D  x:Name="Rotate">
                     <AxisAngleRotation3D.Axis>0,1,0</AxisAngleRotation3D.Axis>
                     <AxisAngleRotation3D.Angle>0</AxisAngleRotation3D.Angle>
                  </AxisAngleRotation3D>
               </RotateTransform3D.Rotation>
            </RotateTransform3D>
         </ModelVisual3D.Transform>
      </ModelVisual3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <AmbientLight Color="White" />
         </ModelVisual3D.Content>
      </ModelVisual3D>
      <Viewport3D.Camera>
         <PerspectiveCamera>
            <PerspectiveCamera.LookDirection>0,0,-1</PerspectiveCamera.LookDirection>
            <PerspectiveCamera.Position>0,0,2</PerspectiveCamera.Position>
            <PerspectiveCamera.FieldOfView>90</PerspectiveCamera.FieldOfView>
         </PerspectiveCamera>
      </Viewport3D.Camera>
   </Viewport3D>
   <Grid.Triggers>
      <EventTrigger RoutedEvent="Grid.MouseDown">
         <BeginStoryboard>
            <Storyboard>
               <DoubleAnimation From="0"
                                To="360"
                                BeginTime="0:0:0"
                                Duration="0:0:4"
                                Storyboard.TargetName="Rotate"
                                Storyboard.TargetProperty="Angle" />
            </Storyboard>
         </BeginStoryboard>
      </EventTrigger>
   </Grid.Triggers>
</Grid>

At this point the front of the cube will be transparent and the TextBlock and Button will not appear. We need to add TextCoordinates to map the VisualBrush to the Mesh.

<Grid Background="AliceBlue">
   <Viewport3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <Model3DGroup>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, -0.5  0.5, -0.5, -0.5  0.5, 0.5, -0.5  -0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>1 0 3 3 2 1</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, +0.5  0.5, -0.5, +0.5  0.5, 0.5, +0.5  -0.5, 0.5, +0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>0 1 2 2 3 0</MeshGeometry3D.TriangleIndices>

                     <MeshGeometry3D.TextureCoordinates>0,1 1,1 1,0 0,0</MeshGeometry3D.TextureCoordinates>

                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>
                        <VisualBrush>
                           <VisualBrush.Visual>
                              <StackPanel>
                                 <TextBlock FontSize="10pt"
                                            Margin="2">Hello, from the Front!</TextBlock>
                                 <Button Margin="2">A Button</Button>
                              </StackPanel>
                           </VisualBrush.Visual>
                        </VisualBrush>
                     </DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, -0.5  -0.5, -0.5, 0.5  -0.5, 0.5, 0.5  -0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>0 1 2 2 3 0</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>0.5, -0.5, -0.5  0.5, -0.5, 0.5  0.5, 0.5, 0.5  0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>1 0 3 3 2 1</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>
            </Model3DGroup>
         </ModelVisual3D.Content>
         <ModelVisual3D.Transform>
            <RotateTransform3D>
               <RotateTransform3D.Rotation>
                  <AxisAngleRotation3D  x:Name="Rotate">
                     <AxisAngleRotation3D.Axis>0,1,0</AxisAngleRotation3D.Axis>
                     <AxisAngleRotation3D.Angle>0</AxisAngleRotation3D.Angle>
                  </AxisAngleRotation3D>
               </RotateTransform3D.Rotation>
            </RotateTransform3D>
         </ModelVisual3D.Transform>
      </ModelVisual3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <AmbientLight Color="White" />
         </ModelVisual3D.Content>
      </ModelVisual3D>
      <Viewport3D.Camera>
         <PerspectiveCamera>
            <PerspectiveCamera.LookDirection>0,0,-1</PerspectiveCamera.LookDirection>
            <PerspectiveCamera.Position>0,0,2</PerspectiveCamera.Position>
            <PerspectiveCamera.FieldOfView>90</PerspectiveCamera.FieldOfView>
         </PerspectiveCamera>
      </Viewport3D.Camera>
   </Viewport3D>
   <Grid.Triggers>
      <EventTrigger RoutedEvent="Grid.MouseDown">
         <BeginStoryboard>
            <Storyboard>
               <DoubleAnimation From="0"
                                To="360"
                                BeginTime="0:0:0"
                                Duration="0:0:4"
                                Storyboard.TargetName="Rotate"
                                Storyboard.TargetProperty="Angle" />
            </Storyboard>
         </BeginStoryboard>
      </EventTrigger>
   </Grid.Triggers>
</Grid>

To apply the texture to the "back" of the we need to "flip" the TextureCoordinates horizontally around the Y axis to match the way we previously changed the TriangleIndices.

<Grid Background="AliceBlue">
   <Viewport3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <Model3DGroup>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, -0.5  0.5, -0.5, -0.5  0.5, 0.5, -0.5  -0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>1 0 3 3 2 1</MeshGeometry3D.TriangleIndices>

                     <MeshGeometry3D.TextureCoordinates>1,1 0,1 0,0 1,0</MeshGeometry3D.TextureCoordinates>

                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>
                        <VisualBrush>
                           <VisualBrush.Visual>
                              <StackPanel>
                                 <TextBlock FontSize="10pt"
                                            Margin="2">Hello, from the Back!</TextBlock>
                                 <Button Margin="2">A Button</Button>
                              </StackPanel>
                           </VisualBrush.Visual>
                        </VisualBrush>
                     </DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, +0.5  0.5, -0.5, +0.5  0.5, 0.5, +0.5  -0.5, 0.5, +0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>0 1 2 2 3 0</MeshGeometry3D.TriangleIndices>
                     <MeshGeometry3D.TextureCoordinates>0,1 1,1 1,0 0,0</MeshGeometry3D.TextureCoordinates>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>
                        <VisualBrush>
                           <VisualBrush.Visual>
                              <StackPanel>
                                 <TextBlock FontSize="10pt"
                                            Margin="2">Hello, from the Front!</TextBlock>
                                 <Button Margin="2">A Button</Button>
                              </StackPanel>
                           </VisualBrush.Visual>
                        </VisualBrush>
                     </DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, -0.5  -0.5, -0.5, 0.5  -0.5, 0.5, 0.5  -0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>0 1 2 2 3 0</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>0.5, -0.5, -0.5  0.5, -0.5, 0.5  0.5, 0.5, 0.5  0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>1 0 3 3 2 1</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>
            </Model3DGroup>
         </ModelVisual3D.Content>
         <ModelVisual3D.Transform>
            <RotateTransform3D>
               <RotateTransform3D.Rotation>
                  <AxisAngleRotation3D  x:Name="Rotate">
                     <AxisAngleRotation3D.Axis>0,1,0</AxisAngleRotation3D.Axis>
                     <AxisAngleRotation3D.Angle>0</AxisAngleRotation3D.Angle>
                  </AxisAngleRotation3D>
               </RotateTransform3D.Rotation>
            </RotateTransform3D>
         </ModelVisual3D.Transform>
      </ModelVisual3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <AmbientLight Color="White" />
         </ModelVisual3D.Content>
      </ModelVisual3D>
      <Viewport3D.Camera>
         <PerspectiveCamera>
            <PerspectiveCamera.LookDirection>0,0,-1</PerspectiveCamera.LookDirection>
            <PerspectiveCamera.Position>0,0,2</PerspectiveCamera.Position>
            <PerspectiveCamera.FieldOfView>90</PerspectiveCamera.FieldOfView>
         </PerspectiveCamera>
      </Viewport3D.Camera>
   </Viewport3D>
   <Grid.Triggers>
      <EventTrigger RoutedEvent="Grid.MouseDown">
         <BeginStoryboard>
            <Storyboard>
               <DoubleAnimation From="0"
                                To="360"
                                BeginTime="0:0:0"
                                Duration="0:0:4"
                                Storyboard.TargetName="Rotate"
                                Storyboard.TargetProperty="Angle" />
            </Storyboard>
         </BeginStoryboard>
      </EventTrigger>
   </Grid.Triggers>
</Grid>

3D Towards a Solid

This post starts with the last example from the 3D Rotation post. I want to add a second face of a cube, opposite the original surface. First add a Model3DGroup to contain all the GeometryModel3D elements that will form the cube.

<Grid Background="AliceBlue">
   <Viewport3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>

            <Model3DGroup>

            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, -0.5  0.5, -0.5, -0.5  0.5, 0.5, -0.5  -0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>0 1 2 2 3 0</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>

            </Model3DGroup>

         </ModelVisual3D.Content>
         <ModelVisual3D.Transform>
            <RotateTransform3D>
               <RotateTransform3D.Rotation>
                  <AxisAngleRotation3D  x:Name="Rotate">
                     <AxisAngleRotation3D.Axis>0,1,0</AxisAngleRotation3D.Axis>
                     <AxisAngleRotation3D.Angle>0</AxisAngleRotation3D.Angle>
                  </AxisAngleRotation3D>
               </RotateTransform3D.Rotation>
            </RotateTransform3D>
         </ModelVisual3D.Transform>
      </ModelVisual3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <AmbientLight Color="White" />
         </ModelVisual3D.Content>
      </ModelVisual3D>
      <Viewport3D.Camera>
         <PerspectiveCamera>
            <PerspectiveCamera.LookDirection>0,0,-1</PerspectiveCamera.LookDirection>
            <PerspectiveCamera.Position>0,0,2</PerspectiveCamera.Position>
            <PerspectiveCamera.FieldOfView>90</PerspectiveCamera.FieldOfView>
         </PerspectiveCamera>
      </Viewport3D.Camera>
   </Viewport3D>
   <Grid.Triggers>
      <EventTrigger RoutedEvent="Grid.MouseDown">
         <BeginStoryboard>
            <Storyboard>
               <DoubleAnimation From="0"
                                To="360"
                                BeginTime="0:0:0"
                                Duration="0:0:4"
                                Storyboard.TargetName="Rotate"
                                Storyboard.TargetProperty="Angle" />
            </Storyboard>
         </BeginStoryboard>
      </EventTrigger>
   </Grid.Triggers>
</Grid>

And add the second surface exactly the same as the first but with the Z coordinates moved from -0.5 to +0.5.

<Grid Background="AliceBlue">
   <Viewport3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <Model3DGroup>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, -0.5  0.5, -0.5, -0.5  0.5, 0.5, -0.5  -0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>0 1 2 2 3 0</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>

            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, +0.5  0.5, -0.5, +0.5  0.5, 0.5, +0.5  -0.5, 0.5, +0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>0 1 2 2 3 0</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>

            </Model3DGroup>
         </ModelVisual3D.Content>
         <ModelVisual3D.Transform>
            <RotateTransform3D>
               <RotateTransform3D.Rotation>
                  <AxisAngleRotation3D  x:Name="Rotate">
                     <AxisAngleRotation3D.Axis>0,1,0</AxisAngleRotation3D.Axis>
                     <AxisAngleRotation3D.Angle>0</AxisAngleRotation3D.Angle>
                  </AxisAngleRotation3D>
               </RotateTransform3D.Rotation>
            </RotateTransform3D>
         </ModelVisual3D.Transform>
      </ModelVisual3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <AmbientLight Color="White" />
         </ModelVisual3D.Content>
      </ModelVisual3D>
      <Viewport3D.Camera>
         <PerspectiveCamera>
            <PerspectiveCamera.LookDirection>0,0,-1</PerspectiveCamera.LookDirection>
            <PerspectiveCamera.Position>0,0,2</PerspectiveCamera.Position>
            <PerspectiveCamera.FieldOfView>90</PerspectiveCamera.FieldOfView>
         </PerspectiveCamera>
      </Viewport3D.Camera>
   </Viewport3D>
   <Grid.Triggers>
      <EventTrigger RoutedEvent="Grid.MouseDown">
         <BeginStoryboard>
            <Storyboard>
               <DoubleAnimation From="0"
                                To="360"
                                BeginTime="0:0:0"
                                Duration="0:0:4"
                                Storyboard.TargetName="Rotate"
                                Storyboard.TargetProperty="Angle" />
            </Storyboard>
         </BeginStoryboard>
      </EventTrigger>
   </Grid.Triggers>
</Grid>

We can now see two Maroon/Blue surfaces rotating but we always see the same colour for both surfaces. The original surface needs to point "out" from the centre of the cube. The easiest way would appear to be drawing the Triangles in a different order so their Normals are reversed. Swap 0 and 1, swap 2 and 3 in the TriangleIndices list.

<Grid Background="AliceBlue">
   <Viewport3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <Model3DGroup>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, -0.5  0.5, -0.5, -0.5  0.5, 0.5, -0.5  -0.5, 0.5, -0.5</MeshGeometry3D.Positions>

                     <MeshGeometry3D.TriangleIndices>1 0 3 3 2 1</MeshGeometry3D.TriangleIndices>

                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, +0.5  0.5, -0.5, +0.5  0.5, 0.5, +0.5  -0.5, 0.5, +0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>0 1 2 2 3 0</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>
            </Model3DGroup>
         </ModelVisual3D.Content>
         <ModelVisual3D.Transform>
            <RotateTransform3D>
               <RotateTransform3D.Rotation>
                  <AxisAngleRotation3D  x:Name="Rotate">
                     <AxisAngleRotation3D.Axis>0,1,0</AxisAngleRotation3D.Axis>
                     <AxisAngleRotation3D.Angle>0</AxisAngleRotation3D.Angle>
                  </AxisAngleRotation3D>
               </RotateTransform3D.Rotation>
            </RotateTransform3D>
         </ModelVisual3D.Transform>
      </ModelVisual3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <AmbientLight Color="White" />
         </ModelVisual3D.Content>
      </ModelVisual3D>
      <Viewport3D.Camera>
         <PerspectiveCamera>
            <PerspectiveCamera.LookDirection>0,0,-1</PerspectiveCamera.LookDirection>
            <PerspectiveCamera.Position>0,0,2</PerspectiveCamera.Position>
            <PerspectiveCamera.FieldOfView>90</PerspectiveCamera.FieldOfView>
         </PerspectiveCamera>
      </Viewport3D.Camera>
   </Viewport3D>
   <Grid.Triggers>
      <EventTrigger RoutedEvent="Grid.MouseDown">
         <BeginStoryboard>
            <Storyboard>
               <DoubleAnimation From="0"
                                To="360"
                                BeginTime="0:0:0"
                                Duration="0:0:4"
                                Storyboard.TargetName="Rotate"
                                Storyboard.TargetProperty="Angle" />
            </Storyboard>
         </BeginStoryboard>
      </EventTrigger>
   </Grid.Triggers>
</Grid>

Finally, add the remaining two vertical surfaces of the cube. The "left" surface uses the same TriangleIndices as the "front" whereas the "right" surface uses the same TriangleIndices as the "back".

<Grid Background="AliceBlue">
   <Viewport3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <Model3DGroup>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, -0.5  0.5, -0.5, -0.5  0.5, 0.5, -0.5  -0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>1 0 3 3 2 1</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, +0.5  0.5, -0.5, +0.5  0.5, 0.5, +0.5  -0.5, 0.5, +0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>0 1 2 2 3 0</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>

                     <MeshGeometry3D.Positions>-0.5, -0.5, -0.5  -0.5, -0.5, 0.5  -0.5, 0.5, 0.5  -0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>0 1 2 2 3 0</MeshGeometry3D.TriangleIndices>

                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>

                     <MeshGeometry3D.Positions>0.5, -0.5, -0.5  0.5, -0.5, 0.5  0.5, 0.5, 0.5  0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>1 0 3 3 2 1</MeshGeometry3D.TriangleIndices>

                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>
            </Model3DGroup>
         </ModelVisual3D.Content>
         <ModelVisual3D.Transform>
            <RotateTransform3D>
               <RotateTransform3D.Rotation>
                  <AxisAngleRotation3D  x:Name="Rotate">
                     <AxisAngleRotation3D.Axis>0,1,0</AxisAngleRotation3D.Axis>
                     <AxisAngleRotation3D.Angle>0</AxisAngleRotation3D.Angle>
                  </AxisAngleRotation3D>
               </RotateTransform3D.Rotation>
            </RotateTransform3D>
         </ModelVisual3D.Transform>
      </ModelVisual3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <AmbientLight Color="White" />
         </ModelVisual3D.Content>
      </ModelVisual3D>
      <Viewport3D.Camera>
         <PerspectiveCamera>
            <PerspectiveCamera.LookDirection>0,0,-1</PerspectiveCamera.LookDirection>
            <PerspectiveCamera.Position>0,0,2</PerspectiveCamera.Position>
            <PerspectiveCamera.FieldOfView>90</PerspectiveCamera.FieldOfView>
         </PerspectiveCamera>
      </Viewport3D.Camera>
   </Viewport3D>
   <Grid.Triggers>
      <EventTrigger RoutedEvent="Grid.MouseDown">
         <BeginStoryboard>
            <Storyboard>
               <DoubleAnimation From="0"
                                To="360"
                                BeginTime="0:0:0"
                                Duration="0:0:4"
                                Storyboard.TargetName="Rotate"
                                Storyboard.TargetProperty="Angle" />
            </Storyboard>
         </BeginStoryboard>
      </EventTrigger>
   </Grid.Triggers>
</Grid>

3D Rotation

This post starts with the simple 3D model example from the first 3D post but with the camera moved back to its original position.

<Grid Background="AliceBlue">
   <Viewport3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, -0.5  0.5, -0.5, -0.5  0.5, 0.5, -0.5  -0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>0 1 2 2 3 0</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>
         </ModelVisual3D.Content>
      </ModelVisual3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <AmbientLight Color="White" />
         </ModelVisual3D.Content>
      </ModelVisual3D>
      <Viewport3D.Camera>
         <PerspectiveCamera>
            <PerspectiveCamera.LookDirection>0,0,-1</PerspectiveCamera.LookDirection>
            <PerspectiveCamera.Position>0,0,2</PerspectiveCamera.Position>
            <PerspectiveCamera.FieldOfView>90</PerspectiveCamera.FieldOfView>
         </PerspectiveCamera>
      </Viewport3D.Camera>
   </Viewport3D>
</Grid>

We want to rotate the Model around the Y axis, represented by the "1" in the definition of AxisAngleRotation3D.Axis below. Because the Model has a negative Z coordinate (-0.5) the Z component will gradually increase until the angle of rotation is 180 degrees at which point the Z coordinate becomes 0.5. Because the Z coordinate is closer to use the Model will appear larger.

<Grid Background="AliceBlue">
   <Viewport3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, -0.5  0.5, -0.5, -0.5  0.5, 0.5, -0.5  -0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>0 1 2 2 3 0</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>
         </ModelVisual3D.Content>

         <ModelVisual3D.Transform>
            <RotateTransform3D>
               <RotateTransform3D.Rotation>
                  <AxisAngleRotation3D>
                     <AxisAngleRotation3D.Axis>0,1,0</AxisAngleRotation3D.Axis>
                     <AxisAngleRotation3D.Angle>0</AxisAngleRotation3D.Angle>
                  </AxisAngleRotation3D>
               </RotateTransform3D.Rotation>
            </RotateTransform3D>
         </ModelVisual3D.Transform>

      </ModelVisual3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <AmbientLight Color="White" />
         </ModelVisual3D.Content>
      </ModelVisual3D>
      <Viewport3D.Camera>
         <PerspectiveCamera>
            <PerspectiveCamera.LookDirection>0,0,-1</PerspectiveCamera.LookDirection>
            <PerspectiveCamera.Position>0,0,2</PerspectiveCamera.Position>
            <PerspectiveCamera.FieldOfView>90</PerspectiveCamera.FieldOfView>
         </PerspectiveCamera>
      </Viewport3D.Camera>
   </Viewport3D>
</Grid>

Starting with an Angle of 0 (zero) degrees gives the same result as previously. Increasing the Angle to more than 90 degrees the reverse side of the Model comes into view.

<Grid Background="AliceBlue">
   <Viewport3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, -0.5  0.5, -0.5, -0.5  0.5, 0.5, -0.5  -0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>0 1 2 2 3 0</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>
         </ModelVisual3D.Content>
         <ModelVisual3D.Transform>
            <RotateTransform3D>
               <RotateTransform3D.Rotation>
                  <AxisAngleRotation3D>
                     <AxisAngleRotation3D.Axis>0,1,0</AxisAngleRotation3D.Axis>

                     <AxisAngleRotation3D.Angle>120</AxisAngleRotation3D.Angle>

                  </AxisAngleRotation3D>
               </RotateTransform3D.Rotation>
            </RotateTransform3D>
         </ModelVisual3D.Transform>
      </ModelVisual3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <AmbientLight Color="White" />
         </ModelVisual3D.Content>
      </ModelVisual3D>
      <Viewport3D.Camera>
         <PerspectiveCamera>
            <PerspectiveCamera.LookDirection>0,0,-1</PerspectiveCamera.LookDirection>
            <PerspectiveCamera.Position>0,0,2</PerspectiveCamera.Position>
            <PerspectiveCamera.FieldOfView>90</PerspectiveCamera.FieldOfView>
         </PerspectiveCamera>
      </Viewport3D.Camera>
   </Viewport3D>
</Grid>

The rotation can be animated by applying a DoubleAnimation to the RotateTransform.
Reset the Angle to zero, name the AxisAngleRotation3D and add a Grid.Trigger to start the animation.

<Grid Background="AliceBlue">
   <Viewport3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, -0.5  0.5, -0.5, -0.5  0.5, 0.5, -0.5  -0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>0 1 2 2 3 0</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>
         </ModelVisual3D.Content>
         <ModelVisual3D.Transform>
            <RotateTransform3D>
               <RotateTransform3D.Rotation>
                  <AxisAngleRotation3D  x:Name="Rotate">
                     <AxisAngleRotation3D.Axis>0,1,0</AxisAngleRotation3D.Axis>

                     <AxisAngleRotation3D.Angle>0</AxisAngleRotation3D.Angle>

                  </AxisAngleRotation3D>
               </RotateTransform3D.Rotation>
            </RotateTransform3D>
         </ModelVisual3D.Transform>
      </ModelVisual3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <AmbientLight Color="White" />
         </ModelVisual3D.Content>
      </ModelVisual3D>
      <Viewport3D.Camera>
         <PerspectiveCamera>
            <PerspectiveCamera.LookDirection>0,0,-1</PerspectiveCamera.LookDirection>
            <PerspectiveCamera.Position>0,0,2</PerspectiveCamera.Position>
            <PerspectiveCamera.FieldOfView>90</PerspectiveCamera.FieldOfView>
         </PerspectiveCamera>
      </Viewport3D.Camera>
   </Viewport3D>

   <Grid.Triggers>
      <EventTrigger RoutedEvent="Grid.MouseDown">
         <BeginStoryboard>
            <Storyboard>
               <DoubleAnimation From="0"
                                To="360"
                                BeginTime="0:0:0"
                                Duration="0:0:4"
                                Storyboard.TargetName="Rotate"
                                Storyboard.TargetProperty="Angle" />
            </Storyboard>
         </BeginStoryboard>
      </EventTrigger>
   </Grid.Triggers>

</Grid>

3D Foundations

To use 3D in WPF we need a minimum of an object, somewhere to draw it, a camera to see it and some light to illuminate the scene. Which in the following examples roughly correspond to GeometryModel3D, Viewport3D, PerspectiveCamera and AmbientLight respectively.
Starting with the Model and Viewport the bare minimum to describe a square is:

<Grid Background="AliceBlue">
   <Viewport3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, -0.5  0.5, -0.5, -0.5  0.5, 0.5, -0.5  -0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
            </GeometryModel3D>
         </ModelVisual3D.Content>
      </ModelVisual3D>
   </Viewport3D>
</Grid>

Each Mesh position is a triplet of X, Y and Z. Positive X is UP. Positive Y is RIGHT. Positive Z is OUT of the screen.
The Mesh triplets are numbered from 0 (zero) starting in BottomLeft and working anti-clockwise.

3 ------------ 2
|              |
|              |
|              |
0 ------------ 1

These form the indices used to cover the surface in triangles. Each triangle is drawn anti-clockwise to keep the "Normals" pointing in the same direction. I'm not going to mention Normals again.

<Grid Background="AliceBlue">
   <Viewport3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, -0.5  0.5, -0.5, -0.5  0.5, 0.5, -0.5  -0.5, 0.5, -0.5</MeshGeometry3D.Positions>

                     <MeshGeometry3D.TriangleIndices>0 1 2 2 3 0</MeshGeometry3D.TriangleIndices>

                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
            </GeometryModel3D>
         </ModelVisual3D.Content>
      </ModelVisual3D>
   </Viewport3D>
</Grid>

The model has two surfaces and each can have its own material. The front surface, Material, has been coloured Maroon.

<Grid Background="AliceBlue">
   <Viewport3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, -0.5  0.5, -0.5, -0.5  0.5, 0.5, -0.5  -0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>0 1 2 2 3 0</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
         
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>

            </GeometryModel3D>
         </ModelVisual3D.Content>
      </ModelVisual3D>
   </Viewport3D>
</Grid>

At this point nothing can be seen on screen because there is no camera.

<Grid Background="AliceBlue">
   <Viewport3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, -0.5  0.5, -0.5, -0.5  0.5, 0.5, -0.5  -0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>0 1 2 2 3 0</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
            </GeometryModel3D>
         </ModelVisual3D.Content>
      </ModelVisual3D>
         
      <Viewport3D.Camera>
         <PerspectiveCamera>
            <PerspectiveCamera.LookDirection>0,0,-1</PerspectiveCamera.LookDirection>
            <PerspectiveCamera.Position>0,0,2</PerspectiveCamera.Position>
            <PerspectiveCamera.FieldOfView>90</PerspectiveCamera.FieldOfView>
         </PerspectiveCamera>
      </Viewport3D.Camera>

   </Viewport3D>
</Grid>

At this point we should see a Black square which is the Maroon surface of the model in an unlit scene. Next we add some AmbientLight.

<Grid Background="AliceBlue">
   <Viewport3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, -0.5  0.5, -0.5, -0.5  0.5, 0.5, -0.5  -0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>0 1 2 2 3 0</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
            </GeometryModel3D>
         </ModelVisual3D.Content>
      </ModelVisual3D>
      
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <AmbientLight Color="White" />
         </ModelVisual3D.Content>
      </ModelVisual3D>
      
      <Viewport3D.Camera>
         <PerspectiveCamera>
            <PerspectiveCamera.LookDirection>0,0,-1</PerspectiveCamera.LookDirection>
            <PerspectiveCamera.Position>0,0,2</PerspectiveCamera.Position>
            <PerspectiveCamera.FieldOfView>90</PerspectiveCamera.FieldOfView>
         </PerspectiveCamera>
      </Viewport3D.Camera>
   </Viewport3D>
</Grid>

We should now be able to see a Maroon surface. The Model's reverse surface, BackMaterial, will be coloured Blue.

<Grid Background="AliceBlue">
   <Viewport3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, -0.5  0.5, -0.5, -0.5  0.5, 0.5, -0.5  -0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>0 1 2 2 3 0</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
      
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>

            </GeometryModel3D>
         </ModelVisual3D.Content>
      </ModelVisual3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <AmbientLight Color="White" />
         </ModelVisual3D.Content>
      </ModelVisual3D>
      <Viewport3D.Camera>
         <PerspectiveCamera>
            <PerspectiveCamera.LookDirection>0,0,-1</PerspectiveCamera.LookDirection>
            <PerspectiveCamera.Position>0,0,2</PerspectiveCamera.Position>
            <PerspectiveCamera.FieldOfView>90</PerspectiveCamera.FieldOfView>
         </PerspectiveCamera>
      </Viewport3D.Camera>
   </Viewport3D>
</Grid>

Finally, reposition the camera and the direction it is looking in order to see the other side of the model. We should now see the blue surface.

<Grid Background="AliceBlue">
   <Viewport3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <GeometryModel3D>
               <GeometryModel3D.Geometry>
                  <MeshGeometry3D>
                     <MeshGeometry3D.Positions>-0.5, -0.5, -0.5  0.5, -0.5, -0.5  0.5, 0.5, -0.5  -0.5, 0.5, -0.5</MeshGeometry3D.Positions>
                     <MeshGeometry3D.TriangleIndices>0 1 2 2 3 0</MeshGeometry3D.TriangleIndices>
                  </MeshGeometry3D>
               </GeometryModel3D.Geometry>
               <GeometryModel3D.Material>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Maroon</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.Material>
               <GeometryModel3D.BackMaterial>
                  <DiffuseMaterial>
                     <DiffuseMaterial.Brush>Blue</DiffuseMaterial.Brush>
                  </DiffuseMaterial>
               </GeometryModel3D.BackMaterial>
            </GeometryModel3D>
         </ModelVisual3D.Content>
      </ModelVisual3D>
      <ModelVisual3D>
         <ModelVisual3D.Content>
            <AmbientLight Color="White" />
         </ModelVisual3D.Content>
      </ModelVisual3D>
      <Viewport3D.Camera>
         <PerspectiveCamera>
      
            <PerspectiveCamera.LookDirection>0,0,1</PerspectiveCamera.LookDirection>
            <PerspectiveCamera.Position>0,0,-2</PerspectiveCamera.Position>

            <PerspectiveCamera.FieldOfView>90</PerspectiveCamera.FieldOfView>
         </PerspectiveCamera>
      </Viewport3D.Camera>
   </Viewport3D>
</Grid>