4D Euclidean space
Polytope of the Month
This month, we introduce the deltoidal hexecontahedron:
This Catalan solid is the dual of the rhombicosidodecahedron, and has a surface bounded by 60 kite-shaped faces, along with 60 short edges and 60 long edges, and 62 vertices. Learn more on the deltoidal hexecontahedron page!
As is customary, full algebraic coordinates are available.
News
2 Jul 2024:
The Polytope of the Month for July is up!
26 Jul 2024:
Minor update: added some missing cross-links to the 4D Catalans.
POVRay-migration status
| 4D visualization document | 95% |
| Regular polychora | 100% |
| 4D geometric objects | 55% |
The 4D FAQ
If you're new here, you may find it helpful to consult the 4D FAQ, which explains what this site is about.
4D Visualization
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.
4D Objects
These pages contain information about various 4D objects and many images of their projections into 3D.
The regular polychora: the 4D equivalents of the Platonic solids.
The uniform polychora: the 4D equivalents of the uniform polyhedra, including the Archimedean solids and the prisms and antiprisms.
The Catalan polychora: the 4D generalizations of the Catalan solids.
The CRF polychora (Convex Regular-Faced polychora): a 4D generalization of the Johnson solids.
Other geometric objects: a collection of some simple 4D objects and their 3D projections.
