Acronym	thah
TOCID symbol	T|T
Name	tetrahemihexahedron, vertex figure of tho, triangular crossed cuploid
	© ©
Circumradius	1/sqrt(2) = 0.707107
Inradius wrt. {3}	1/sqrt(6) = 0.408248
Inradius wrt. {4}	0
Vertex figure	[3/2,4,3,4]
Coordinates	(1/sqrt(2), 0, 0)   & all permutations, all changes of sign
Surface	3+sqrt(3) = 4.732051
General of army	oct
Colonel of regiment	oct
Dihedral angles	between {3} and {4}:   arccos[1/sqrt(3)] = 54.735610°
Face vector	6, 12, 7
Confer	Grünbaumian relatives: ratricu   2thah   4thah   compounds: hirki   sapisseri   general polytopal classes: segmentohedra   non-orientable   analogs: facetorectified simplex frSn   demicross hOn
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Thah is an edge-faceting of oct, in fact it uses triangles of it and all its equatorial squares.

Incidence matrix according to Dynkin symbol

hemi( x3o3/2x )

6 |  4 | 2 2
--+----+----
2 | 12 | 1 1
--+----+----
3 |  3 | 4 *
4 |  4 | * 3

reduced( xx3/2ox&#x , by {6/2} )   → height = sqrt(2/3) = 0.816497
{3/2} || pseudo {6/2}

o.3/2o.             | 3 * | 2 2 0 | 1 2 1
.o3/2.o             | * 3 | 0 2 2 | 0 2 2
--------------------+-----+-------+------
x.   ..             | 2 0 | 3 * * | 1 1 0
oo3/2oo&#x          | 1 1 | * 6 * | 0 1 1
.x   ..  &  ..   .x | 0 2 | * * 3 | 0 1 1  (those edges get identified)
--------------------+-----+-------+------
x.3/2o.             | 3 0 | 3 0 0 | 1 * *
xx   ..&#x          | 2 2 | 1 2 1 | * 3 *
..   ox&#x          | 1 2 | 0 2 1 | * * 3