Polytope of the day

12/27/17

This polytope appears to be a dodecahedron, but it is in fact, the hemi-dodecahedron. It is an abstract polytope most often represented as an elliptical tiling on a boy's surface. More information here. Image from here.

12/24/17

This odd looking object is the trireplenished great icosahedron or targi. It is the conjugate of the tridiminished icosahedron. More information here. Image from here.

12/25/17

Say hello to the small complex icosidodecahedron or cid! This one is interesting as each edge has three faces, thus making it exotic. More information here. Image from here.

12/26/17

This is the muoctahedron. Muoct for short. It is a regular skew polytope resembling the bitruncated cubical honeycomb, or batch. However, it is topologically identical to the hyperbolic order 4 hexagonal tiling. More information here. Image from here.

12/23/17

This is the first polytope of the day. Say hello to the vertex figure of Tin. It appears to be semiuniform and a part of an army with a tetrahedron prism general. Tin itself is a member of the Rin regiment and is uniform. More information here. Image from here.