Acronym haddet
Name demidistesseract,
compound of 2 hex
Coxeter symbol {4,3,3}[2{3,3,4}]
Circumradius 1/sqrt(2) = 0.707107
Inradius 1/sqrt(8) = 0.353553
General of army tes
Colonel of regiment (is itself locally convex)
Confer
compound-component:
hex  
general polytopal classes:
regular  

Comes in 2 types, depending on the pairs of co-realmic tet (in dual positioning): being counted separately (type A) or being combined to so compounds as well (type B).


Incidence matrix according to Dynkin symbol

xo3oo3ox *b3oo   (Type A)

o.3o.3o. *b3o.  & | 16   6 | 12 |  4  4 || 1
------------------+----+----+----+-------++--
x. .. ..    ..  & |  2 | 48 |  4 |  2  2 || 1
------------------+----+----+----+-------++--
x.3o. ..    ..  & |  3 |  3 | 64 |  1  1 || 1
------------------+----+----+----+-------++--
x.3o.3o.    ..  &   4 |  6 |  4 | 16  * || 1
x.3o. .. *b3o.  &   4 |  6 |  4 |  * 16 || 1
------------------+----+----+----+-------++--
x.3o.3o. *b3o.  &   8 | 24 | 32 |  8  8 || 2

o3o3o4β   (Type A)

both( . . . . ) | 16 |  6 | 12 |  4  4 || 1
----------------+----+----+----+-------++--
both( . . o4s ) |  2 | 48 |  4 |  2  2 || 1
----------------+----+----+----+-------++--
sefa( . o3o4β ) |  3 |  3 | 64 |  1  1 || 1
----------------+----+----+----+-------++--
both( . o3o4s )   4 |  6 |  4 | 16  * || 1
sefa( o3o3o4β )   4 |  6 |  4 |  * 16 || 1
----------------+----+----+----+-------++--
both( o3o3o4s )   8 | 24 | 32 |  8  8 || 2

o3o3o4β   (Type B)

both( . . . . ) | 16 |  6 | 12 | 4  4 || 1
----------------+----+----+----+------++--
both( . . o4s ) |  2 | 48 |  4 | 2  2 || 1
----------------+----+----+----+------++--
sefa( . o3o4β ) |  3 |  3 | 64 | 1  1 || 1
----------------+----+----+----+------++--
      . o3o4β     8 | 12 |  8 | 8  * || 2
sefa( o3o3o4β )   4 |  6 |  4 | * 16 || 1
----------------+----+----+----+------++--
both( o3o3o4s )   8 | 24 | 32 | 8  8 || 2

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