D4: A truncated tetrahedron. This has the advantage over regular tetrahedral dice that the numbers face up!
D8: Constructed from a truncated octahedron. This rolls much better than a regular octahedron and also tessellates to fill space.
D12: Normally constructed from a regular dodecahedron, but here for your mathematical pleasure we have the rhombic dodecahedron.
D24: Each face of this icositetrahedron is a kite.
D60: The world's first mass-produced d60 - or hexecontahedron - dice.
Read more about them on Maths Gear:
http://mathsgear.co.uk/collections/dice/products/unique-polyhedral-dice
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