Acronym setho
Name sesquitesseractihemioctachoron
Circumradius 1/sqrt(2) = 0.707107
Vertex figure ©
Face vector 8, 24, 36, 16
Confer
faceting of:
hex  
related scaliform:
hatho  
general polytopal classes:
scaliform  
External
links
hedrondude   polytopewiki  

This polychoron was found in 2006 by Bowers as the blend (complement) of hex and hatho. Esp. its above shown vertex figure has exactly 2 dimples, which both are connected at the top vertex. However, the there shown green and red triangles both represent different vertex figures of the same (first type) tet in here. The teal triangle in contrast represents the last type tet in here, which has all alike vertex figures.


Incidence matrix according to Dynkin symbol

8 | 1  4 1 |  6 2  6 | 4 3 2
--+--------+---------+------
2 | 4  * * |  4 0  0 | 2 2 0
2 | * 16 * |  2 1  2 | 2 2 1
2 | *  * 4 |  0 0  4 | 2 0 2
--+--------+---------+------
3 | 1  2 0 | 16 *  * | 1 1 0
4 | 0  4 0 |  * 4  * | 0 2 0
3 | 0  2 1 |  * * 16 | 1 0 1
--+--------+---------+------
4 | 1  4 1 |  2 0  2 | 8 * *  tet
6 | 2  8 0 |  4 2  0 | * 4 *  bobipyr
4 | 0  4 2 |  0 0  4 | * * 4  tet

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