Acronym cyted srit
Name cyclotetradiminished small rhombitesseract,
cyclotetraugmented octagonal duoprism
Circumradius sqrt[2+sqrt(2)] = 1.847759
Dihedral angles
  • at {3} between squippy and trip:   150°
  • at {8} between op and op:   135°
  • at {4} between op and squippy:   135°
  • at {4} between op and trip:   arccos(-1/sqrt(3)) = 125.264390°
  • at {4} between sirco and trip:   arccos(-1/sqrt(3)) = 125.264390°
  • at {3} between sirco and squippy:   120°
  • at {4} between op and sirco:   90°
  • at {4} between sirco and sirco:   90°
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       2   :   2       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       2   :   2       2    
|   :   |       |   :   |       |    
A---3---A---4---A---3---A---4---A-...
| \ : / |       | \ : / |       |    
Confer
uniform relative:
srit   odip  
segmentochora:
{4} || op  
related CRFs:
cyte gysrit   bicyte gysrit  

The symmetry of srit will be broken by an inscribed odip. Here the squares of odip are used for separation: in one of these halves the corresponding srit remainder will be placed (octs thereby will be halved into squippy), while in the other half one ring of 8 ops from odip is to be placed.

This polychoron can be either obtained by diminishing a cyclic ring of 4 sirco-sirco squares, or by augmenting alternate ops of one ring of ops within odip by {4} || op.


Incidence matrix according to Dynkin symbol

ox4wx ox4xx&#zx

o.4o. o.4o.     | 16  * |  2  4  0  0  0  0 | 1  2  2  4 0  0  0  0  0 |  1  2 2 0 0  vertices of B-squares
.o4.o .o4.o     |  * 64 |  0  1  1  1  1  1 | 0  1  1  1 1  1  1  1  1 |  1  1 1 1 1  odip vertices (A)
----------------+-------+-------------------+--------------------------+------------
.. .. .. x.     |  2  0 | 16  *  *  *  *  * | 1  0  0  2 0  0  0  0  0 |  0  1 2 0 0  (:)
oo4oo oo4oo&#x  |  1  1 |  * 64  *  *  *  * | 0  1  1  1 0  0  0  0  0 |  1  1 1 0 0  (/,\)
.x .. .. ..     |  0  2 |  *  * 32  *  *  * | 0  1  0  0 1  1  1  0  0 |  1  1 0 1 1  (3)
.. .x .. ..     |  0  2 |  *  *  * 32  *  * | 0  0  0  0 1  0  0  1  1 |  0  0 1 1 1  (4)
.. .. .x ..     |  0  2 |  *  *  *  * 32  * | 0  0  1  0 0  1  0  1  0 |  1  0 1 1 0  (1)
.. .. .. .x     |  0  2 |  *  *  *  *  * 32 | 0  0  0  1 0  0  1  0  1 |  0  1 1 0 1  (2)
----------------+-------+-------------------+--------------------------+------------
.. .. o.4x.     |  4  0 |  4  0  0  0  0  0 | 4  *  *  * *  *  *  *  * |  0  0 2 0 0  B-squares
ox .. .. ..&#x  |  1  2 |  0  2  1  0  0  0 | * 32  *  * *  *  *  *  * |  1  1 0 0 0
.. .. ox ..&#x  |  1  2 |  0  2  0  0  1  0 | *  * 32  * *  *  *  *  * |  1  0 1 0 0
.. .. .. xx&#x  |  2  2 |  1  2  0  0  0  1 | *  *  * 32 *  *  *  *  * |  0  1 1 0 0
.x4.x .. ..     |  0  8 |  0  0  4  4  0  0 | *  *  *  * 8  *  *  *  * |  0  0 0 1 1
.x .. .x ..     |  0  4 |  0  0  2  0  2  0 | *  *  *  * * 16  *  *  * |  1  0 0 1 0
.x .. .. .x     |  0  4 |  0  0  2  0  0  2 | *  *  *  * *  * 16  *  * |  0  1 0 0 1
.. .x .x ..     |  0  4 |  0  0  0  2  2  0 | *  *  *  * *  *  * 16  * |  0  0 1 1 0
.. .x .. .x     |  0  4 |  0  0  0  2  0  2 | *  *  *  * *  *  *  * 16 |  0  0 1 0 1
----------------+-------+-------------------+--------------------------+------------
ox .. ox ..&#x    1  4 |  0  4  2  0  2  0 | 0  2  2  0 0  1  0  0  0 | 16  * * * *
ox .. .. xx&#x    2  4 |  1  4  2  0  0  2 | 0  2  0  2 0  0  1  0  0 |  * 16 * * *
.. wx ox4xx&#zx   8 16 |  8 16  0  8  8  8 | 2  0  8  8 0  0  0  4  4 |  *  * 4 * *
.x4.x .x ..       0 16 |  0  0  8  8  8  0 | 0  0  0  0 2  4  0  4  0 |  *  * * 4 *
.x4.x .. .x       0 16 |  0  0  8  8  0  8 | 0  0  0  0 2  0  4  0  4 |  *  * * * 4

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