Acronym	koho
Name	skew octahemioctachoron
	©
Circumradius	1/sqrt(2) = 0.707107
Vertex figure	©
Colonel of regiment	hex
Face vector	8, 24, 28, 12
Confer	faceting of: hex   related scaliform: hatho   general polytopal classes: scaliform
External links

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