4D Euclidean space
This month, we have a bonus: two polytopes for the month! Without further ado:
On the left is the 3,3-duoprism, the Cartesian product of two triangles; and on the right is the 3,4-duoprism, the Cartesian product of a triangle and a square. These two pretty polytopes are members of the infinite duoprism family of uniform polychora. They are seen here in their respective double rotations.
1 Mar 2012: This month we have two polytopes for the month!
This is the cantitruncated 5-cell, doing a double-rotation in the WZ and XY planes with two different simultaneous rates of rotation.
The cantitruncated 5-cell is one of the uniform polytopes in the 5-cell family. Its surface consists of 5 truncated tetrahedra, as can be seen clearly in the above animation, 5 truncated octahedra, and 10 triangular prisms.
Find out more about this beautiful polytope at the cantitruncated 5-cell page!
1 Feb 2012: The Polytope of the Month for February is up!
This is the cantellated 600-cell, bounded by 120 icosidodecahedra, 600 cuboctahedra, and 720 pentagonal prisms. This beautiful polychoron can be constructed by radially expanding the icosidodecahedral cells of the rectified 120-cell outwards.
2 Jan 2012: