4D Euclidean space
The primary point of interest in this polychoron is its surface that contains 10 pentagonal bipyramids (J13), formed by the pairs of pentagonal pyramid cells of each pair of adjacent augments lying on the same hyperplane and merging into bipyramids. Its other cells are 5 decagonal prisms and 50 square pyramids.
23 May 2019:
21 May 2019:
This completes the list of 92 Johnson solids on this website! Visit the Johnson solids page for the full list. Full algebraic coordinates are provided for every Johnson solid, allowing the numerical computation of the coordinates to arbitrary precision. Enjoy!
17 May 2019:
Added the metagyrate diminished rhombicosidodecahedron (J78), the 78th Johnson solid.
7 May 2019:
Added the paragyrate diminished rhombicosidodecahedron (J77), the 77th Johnson solid.
1 May 2019:
The Polytope of the Month for May is up!
This is the decaaugmented 5,20-duoprism, an augmentation of the 5,20-duoprism with 10 pentagonal prism pyramids. Due to the angle between the pentagonal pyramid and pentagonal prism cells in the latter, the pentagonal pyramids are coplanar with the adjacent pentagonal prisms on the 5,20-duoprism, causing them to merge into 10 elongated pentagonal bipyramids (J16).
29 Apr 2019:
5 Apr 2019:
1 Apr 2019:
The Polytope of the Month for April is up!
Updated the family portrait of the 3D uniform polyhedra: