4D Euclidean space
News Archive
Mar 2024
This month, we return to 4D:
This is the bidecachoron, the dual of the bitruncated 5-cell. It is bounded by 30 congruent tetragonal disphenoids, 60 congruent isosceles triangles, 40 edges, and 10 vertices.
Find out more in the bidecachoron page! As usual, full algebraic coordinates are provided.
1 Mar 2024:
The Polytope of the Month for March is up!
Feb 2024
This month, we return to 3D and present a pretty important Catalan solid:
This is the rhombic triacontahedron, the dual of the icosidodecahedron. It is bounded by 30 rhombuses whose diagonals have the ratio 1 : φ, 60 edges, and 32 vertices. Being the dual of a quasi-regular polyhedron, it is both face- and edge-transitive.
It also appears as the projection envelope of the castellated rhombicosidodecahedral prism, a 4D CRF polychoron that sports bilunabirotunda cells.
Find out more on the rhombic triacontahedron page! As usual, we provide full algebraic coordinates.
1 Feb 2024:
The Polytope of the Month for February is up!
Jan 2024
For the new year, we present the joined 120-cell:
This is a beautiful 4D Catalan polychoron bounded by 720 pentagonal bipyramids. It is the dual of the rectified 600-cell, and has 3600 isosceles triangles, 3600 edges, and 720 vertices. Find out more on the joined 120-cell page! As usual, full algebraic coordinates are provided.
1 Jan 2024:
The Polytope of the Month for January is up!