Acronym so
Name stella octangula,
compound of 2 tet
Coxeter symbol {4,3}[2{3,3}]{3,4}
 
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Circumradius sqrt(3/8) = 0.612372
Inradius 1/sqrt(24) = 0.204124
Vertex figure [33]
General of army cube
Colonel of regiment (is itself locally convex)
Dihedral angles
(at margins)
  • between {3} and {3}:   arccos(1/3) = 70.528779°
Confer
related compounds:
sis  
general polytopal classes:
regular  
External
links
hedrondude   wikipedia   mathworld

The common intersection of the stella octangula is a (scaled) oct. Moreover stella octangula is selfdual.


Incidence matrix according to Dynkin symbol

xo3oo3ox

o.3o.3o.  & | 8 |  3 | 3 || 1
------------+---+----+---++--
x. .. ..  & | 2 | 12 | 2 || 1
------------+---+----+---++--
x.3o. ..  & | 3 |  3 | 8 || 1
------------+---+----+---++--
x.3o.3o.  &  4 |  6 | 4 || 2

o3o4β

both( . . . ) | 8 |  3 | 3 || 1
--------------+---+----+---++--
both( . o4s ) | 2 | 12 | 2 || 1
--------------+---+----+---++--
sefa( o3o4β ) | 3 |  3 | 8 || 1
--------------+---+----+---++--
both( o3o4s )  4 |  6 | 4 || 2

starting figure: o3o4x

β2o4β

both( . . . ) | 8 | 2 1 | 3 || 1
--------------+---+-----+---++--
both( s 2 s ) | 2 | 8 * | 2 || 1
both( . o4s ) | 2 | * 4 | 2 || 1
--------------+---+-----+---++--
sefa( β2o4β ) | 3 | 2 1 | 8 || 1
--------------+---+-----+---++--
both( s2o4s )  4 | 4 2 | 4 || 2

starting figure: x o4x

β2β2β

both( . . . ) | 8 | 1 1 1 | 3 || 1
--------------+---+-------+---++--
both( s2s . ) | 2 | 4 * * | 2 || 1
both( s 2 s ) | 2 | * 4 * | 2 || 1
both( . s2s ) | 2 | * * 4 | 2 || 1
--------------+---+-------+---++--
sefa( β2β2β ) | 3 | 1 1 1 | 8 || 1
--------------+---+-------+---++--
both( s2s2s )  4 | 2 2 2 | 4 || 2

starting figure: x x x

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