Acronym stico
Name stellated icositetrachoron,
compound of 3 hex
Coxeter symbol {3,4,3}[3{3,3,4}]2{3,4,3}
 
 ©
Circumradius 1/sqrt(2) = 0.707107
Inradius 1/sqrt(8) = 0.353553
General of army ico
Colonel of regiment (is itself locally convex)
Dual gico
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

xoo3ooo3oox *b3oxo   (Type A)

o..3o..3o.. *b3o..  & | 24   6 | 12 |  8 || 1
----------------------+----+----+----+----++--
x.. ... ...    ...  & |  2 | 72 |  4 |  4 || 1
----------------------+----+----+----+----++--
x..3o.. ...    ...  & |  3 |  3 | 96 |  2 || 1
----------------------+----+----+----+----++--
x..3o..3o..    ...  &   4 |  6 |  4 | 48 || 1
----------------------+----+----+----+----++--
x..3o..3o.. *b3o..  &   8 | 24 | 32 | 16 || 3

xoo3ooo3oox *b3oxo   (Type B)

o..3o..3o.. *b3o..  & | 24   6 | 12 |  8 || 1
----------------------+----+----+----+----++--
x.. ... ...    ...  & |  2 | 72 |  4 |  4 || 1
----------------------+----+----+----+----++--
x..3o.. ...    ...  & |  3 |  3 | 96 |  2 || 1
----------------------+----+----+----+----++--
x.o3o.o3o.x    ...  &   8 | 12 |  8 | 24 || 2
----------------------+----+----+----+----++--
x..3o..3o.. *b3o..  &   8 | 24 | 32 | 16 || 3

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