4D Euclidean space
Polytope of the Month
This month, we continue in 4D with another 4D Catalan polychoron:
This is the joined 16-cell, the dual polytope to the rectified tesseract. This pretty polychoron is bounded by 32 triangular bipyramids, 96 isosceles triangles, 88 edges, and 24 vertices.
Find out more on the joined 16-cell page! As is customary the full Cartesian coordinates are available.
News
1 Apr 2024:
The Polytope of the Month for April is up!
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.
