This interesting shape makes for a unique alternative to traditional 12 sided dice. The result is read off of the side that's parallel to the table, rather than the side that's on top.
This 12 sided die is a tetrahedron cumulation, an isohedron
. It has a convex hull that's a triakis tetrahedron, an isohedron
. The triakis tetrahedron is a tricky shape to turn into a die since opposite sides aren't parallel. But by creating parallel faces inside the convex hull, I was able to create usable dice.
Note that this is a blank, so the faces will need to be numbered. For more information on unique dice shapes, see http://loki3.com/poly/fair-dice.html