4D Euclidean space

Polytope of the Month

This month, we continue our exploration of octa-augmented polychora, CRF polytopes produced by augmenting members of the tesseract family of uniform polychora along their axial symmetries.

The octa-augmented runcitruncated 16-cell

This is the octa-augmented runcitruncated 16-cell, a beautiful polytope that sports 24 elongated square bipyramids (J15) as cells, among other shapes. It can also be considered as one of the partial Stott contractions of the runcitruncated 24-cell, or a Stott expansion of the octa-augmented runcinated tesseract.

Learn more about this polychoron at the octa-augmented runcitruncated 16-cell page. As usual, we provide the full Cartesian coordinates.


POVRay-migration status

4D visualization document95%
Regular polychora100%
4D geometric objects55%

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.

4D Stories


Last updated 04 Sep 2018.

Powered by Apache Runs on Debian GNU/Linux Viewable on any browser Valid CSS Valid HTML 5! Proud to be Microsoft-free