4D Euclidean space
Polytope of the Month
We apologize for the hiatus; Real Life intervened and we were not able to finish the Polytope of the Month for April on time. Nevertheless, it's better late than never, so allow us to present the Polytope of the Month for June (belatedly for April):
This beautiful uniform 4D polytope has an intricate surface consisting of 120 rhombicosidodecahedra, 720 pentagonal prisms, 1200 hexagonal prisms, and 600 truncated tetrahedra. It has 7200 vertices, a whopping 18000 edges, 13440 faces, and a total of 2640 cells. It belongs to the 120-cell/600-cell family, and so shares the same beautiful symmetries. So head on over to the runcitruncated 600-cell page where we explore its structure in detail, accounting for all of its 2640 cells.
As is customary, we provide full coordinates for this beautiful polychoron.
12 Jun 2013:
The Polytope of the Month for April is finally now up. We apologize for the delay.
|4D visualization document||95%|
|4D geometric objects||55%|
Uniform polychoron coverage
|Non-regular uniform polychora||92.7%|
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Ever wondered how to visualize 4-dimensional space? It's not as difficult as it may sound at first! Read the 4D Visualization pages to find out more.
These pages contain information about various 4D objects and many images of their projections into 3D.
Other geometric objects: a collection of some simple 4D objects and their 3D projections.