Bitruncated tesseract

In geometry, the bitruncated tesseract (also called a "bitruncated 16-cell") is a uniform polychoron.

Construction

A tesseract is bitruncated by truncating its cells beyond their mid-points, turning the eight cubes into eight truncated octahedra. These still share their square faces, but the hexagonal faces form truncated tetrahedra which share their triangular faces with each other.

tructure

The truncated octahedra are connected to each other via their square faces, and to the truncated tetrahedra via their hexagonal faces. The truncated tetrahedra are connected to each other via their triangular faces.

Projections

The truncated-octahedron-first projection of the bitruncated tesseract into 3D space has a truncated cubical envelope. Two of the truncated octahedral cells project onto a truncated octahedron inscribed in this envelope, with the square faces touching the centers of the octahedral faces. The 6 octahedral faces are the images of the remaining 6 truncated octahedral cells. The remaining gap between the inscribed truncated octahedron and the envelope are filled by 8 flattened truncated tetrahedra, each of which is the image of a pair of truncated tetrahedral cells.

ee also

* Uniform polychoron

External links

* [http://members.aol.com/Polycell/section2.html 2. Convex uniform polychora based on the tesseract (8-cell) and hexadecachoron (16-cell)] - Model 16