Truncation in Polychora and Honeycomb Tessellation
A regular polychoron or tessellation {p,q,r}, truncated becomes a uniform polychoron or tessellation with 2 cells: truncated {p,q}, and {q,r} cells are created on the truncated section.
See: uniform polychoron and convex uniform honeycomb.
| Family |
Parent | Truncation | Rectification (birectified dual) |
Bitruncation (bitruncated dual) |
|---|---|---|---|---|
5-cell (self-dual) |
truncated 5-cell |
rectified 5-cell |
bitruncated 5-cell |
|
16-cell |
truncated 16-cell |
rectified 16-cell (Same as 24-cell) |
bitruncated 16-cell (bitruncated tesseract) |
|
Tesseract |
truncated tesseract |
rectified tesseract |
bitruncated tesseract (bitruncated 16-cell) |
|
24-cell (self-dual) |
truncated 24-cell |
rectified 24-cell |
bitruncated 24-cell |
|
600-cell |
truncated 600-cell |
rectified 600-cell |
bitruncated 600-cell (bitruncated 120-cell) |
|
120-cell |
truncated 120-cell |
rectified 120-cell |
||
cubic (self-dual) |
truncated cubic |
rectified cubic |
bitruncated cubic |
|
icosahedral (self-dual) |
(No image) truncated icosahedral |
(No image) rectified icosahedral |
(No image) bitruncated icosahedral |
|
cubic |
(No image) truncated cubic |
(No image) rectified cubic |
(No image) bitruncated cubic (bitruncated dodecahedral) |
|
dodecahedral |
(No image) truncated dodecahedral |
(No image) rectified dodecahedral |
||
| (No image) dodecahedral (self-dual) |
(No image) truncated dodecahedral |
(No image) rectified dodecahedral |
(No image) bitruncated dodecahedral |
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