Acronym bicyte gysrit
Name bicyclotetragyrated small rhombitesseract
 
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Circumradius sqrt[2+sqrt(2)] = 1.847759
Dihedral angles
Pattern
(parts of total size:
8x8 squares)
A---3---A---4---A---3---A---4---A-...
| \ : / |       | \ : / |       |    
1   B   1       1   B   1       1    
| / : \ |       | / : \ |       |    
A---3---A---4---A---3---A---4---A-...
|   :   | \   / |   :   | \   / |    
2===:===2===C===2===:===2===C===2=   
|   :   | /   \ |   :   | /   \ |    
A---3---A---4---A---3---A---4---A-...
| \ : / |       | \ : / |       |    
1   B   1       1   B   1       1    
| / : \ |       | / : \ |       |    
A---3---A---4---A---3---A---4---A-...
|   :   | \   / |   :   | \   / |    
2===:===2===C===2===:===2===C===2=   
|   :   | /   \ |   :   | /   \ |    
A---3---A---4---A---3---A---4---A-...
| \ : / |       | \ : / |       |    
Confer
uniform relative:
srit   odip  
segmentochora:
{4} || op  
related CRFs:
cyted srit   cyte gysrit  

The symmetry of srit will be broken by an inscribed odip. Here the squares of odip are used for separation: in both of these halves a gyrated copy of the corresponding srit remainder will be placed (octs thereby will be halved into squippy).

This polychoron alternatively can be obtained by augmenting alternate ops of both rings of ops within odip by {4} || op in such a way that the trips align square to square.


Incidence matrix

64  * |  2  2   2  0 |  1  1  1  2  2  2 0 |  2  2 2  odip vertices (A)
 * 32 |  0  0   4  2 |  0  0  0  2  2  4 1 |  1  2 2  vertices of squares (B,C)
------+--------------+---------------------+--------
 2  0 | 64  *   *  * |  1  1  0  1  0  0 0 |  1  0 2  (1,4)
 2  0 |  * 64   *  * |  0  1  1  0  1  1 0 |  1  2 1  (2,3)
 1  1 |  *  * 128  * |  0  0  0  1  1  1 0 |  1  1 1
 0  2 |  *  *   * 32 |  0  0  0  0  0  2 1 |  0  1 2  (:,=)
------+--------------+---------------------+--------
 4  0 |  4  0   0  0 | 16  *  *  *  *  * * |  0  0 2
 4  0 |  2  2   0  0 |  * 32  *  *  *  * * |  1  0 1
 4  0 |  0  4   0  0 |  *  * 16  *  *  * * |  0  2 0
 2  1 |  1  0   2  0 |  *  *  * 64  *  * * |  1  0 1
 2  1 |  0  1   2  0 |  *  *  *  * 64  * * |  1  1 0
 2  2 |  0  1   2  1 |  *  *  *  *  * 64 * |  0  1 1
 0  4 |  0  0   0  4 |  *  *  *  *  *  * 8 |  0  0 2
------+--------------+---------------------+--------
 4  1 |  2  2   4  0 |  0  1  0  2  2  0 0 | 32  * *  squippy
 4  2 |  0  4   4  1 |  0  0  1  0  2  2 0 |  * 32 *  trip
16  8 | 16  8  16  8 |  4  4  0  8  0  8 2 |  *  * 8  sirco

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