The Dudeney Cross

Move the [b]Size [/b]slider to change the size of the cross and move the slider [math]\alpha[/math] to the extreme right to transform the figure. 
The applet above is an example of a dissection puzzle. A [b]dissection puzzle[/b], also called a transformation tiling puzzle where a set of pieces can be assembled in different ways to produce two or more distinct geometric shapes (Wikipedia). 

Information: The Dudeney Cross