Strange Cube Index 

This page will allow you to construct a face from a set of triangles and kites. Enter a '1' for a triangle and a '2' for a kite. To constuct a complete face the '1's and '2's must add up to 12.
When you have entered the values click "Draw" and the page will show you the face your input defines and the number of ways it can be split into 2 parts along a diagonal. On other pages you can see how these parts combine to generate other face shapes.
Full Face  Possible Splits 

(c) John Whitehouse 2017