This unlikely tangle is actually a fair 12 sided die. This is a much more interesting shape than the traditional regular dodecahedron.
This 12 sided die is a tetragonal pentagonal dodecahedron, an isohedron
. Crystallographers know it as the tetartoid. It's a challenging shape to turn into a die since opposite faces aren't even close to being parallel. To make it work, I started from a wireframe of the shape then embedded parallel sides inside it. The result is one of the most unlikely looking dice I've seen.
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
1.928 w x
1.928 d x
0.759 w x
0.759 d x