How to create a WPF Window without a border that can be resized via a grip only?

If you set ResizeMode="CanResizeWithGrip" on a WPF Window then a resize grip is shown in the lower right corner, as below:

If you set WindowStyle="None" as well the title bar disappears but the grey bevelled edge remains until you set ResizeMode="NoResize". Unfortunately, with this combination of properties set, the resize grip also disappears.

I have overridden the Window's ControlTemplate via a custom Style. I want to specify the border of the window myself, and I don't need users to be able to resize the window from all four sides, but I do need a resize grip.

Can someone detail a simple way to meet all of these criteria?

1. Do not have a border on the Window apart from the one I specify myself in a ControlTemplate.
2. Do have a working resize grip in the lower right corner.
3. Do not have a title bar.

From stackoverflow

• If you set the AllowsTransparency property on the Window (even without setting any transparency values) the border disappears and you can only resize via the grip.

  <Window
      xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
      xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
      Width="640" Height="480" 
      WindowStyle="None"
      AllowsTransparency="True"
      ResizeMode="CanResizeWithGrip">
  
      <!-- Content -->
  
  </Window>
  

  Result looks like:

  

  ZombieSheep : Pure fluke I knew this - I was playing with the same control set myself this afternoon. :)

  Tomáš Kafka : Wow, I wouldn't expect this, but it is totally handy for make-your-own-post-it-notes-in-5-minutes, thanks :)