Acronym koho
Name skew octahemioctachoron
Circumradius 1/sqrt(2) = 0.707107
Vertex figure ©
Colonel of regiment hex
Confer
faceting of:
hex  
related scaliform:
hatho  
general polytopal classes:
scaliform  
External
links
hedrondude   polytopewiki  

This polychoron was found in 2006 by A. Weimholt and could be constructed as follows: Select a skew octagon on the edge skeleton of hex as xyzwXYZW, where the lower and upper case characters represent the two points on the respective coordinate axes. Then the below given three edge types are just the ones of type {8/1}, {8/2}, {8/3} respectively. The tets then can be spotted as xyzw (resp. cyclicals), while the bobipyrs will get defined by their two square faces each, i.e. by xyXY and yzYZ (resp. cyclicals).


Incidence matrix

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

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