Acronym quith
TOCID symbol tC*
Name quasitruncated hexahedron,
stellated truncated hexahedron,
stellatruncated cube
 
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Circumradius sqrt[7-4 sqrt(2)]/2 = 0.579471
Inradius
wrt. {8/3}
[sqrt(2)-1]/2 = 0.207107
Inradius
wrt. {3}
(3-2 sqrt(2))/sqrt(12) = 0.049529
Density 7
Vertex figure [3,(8/3)2]
Coordinates ((sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2)   & all permutations, all changes of sign
Volume (21-14 sqrt(2))/3 = 0.400337
Surface -12+12 sqrt(2)+2 sqrt(3) = 8.434664
General of army sirco
Dihedral angles
  • between {8/3} and {8/3}:   90°
  • between {3} and {8/3}:   arccos[1/sqrt(3)] = 54.735610°
Colonel of regiment (is itself locally convex – no other uniform polyhedral members)
Face vector 24, 36, 14
Confer
Grünbaumian relatives:
2quith  
blends:
tuquith  
compounds:
quitar  
general polytopal classes:
Wythoffian polyhedra  
analogs:
quasitruncated hypercube qtCn  
External
links
hedrondude   wikipedia   polytopewiki   WikiChoron   mathworld

As abstract polytope quith is isomorphic to tic, thereby replacing octagrams by octagons.


Incidence matrix according to Dynkin symbol

x4/3x3o

.   . . | 24 |  1  2 | 2 1
--------+----+-------+----
x   . . |  2 | 12  * | 2 0
.   x . |  2 |  * 24 | 1 1
--------+----+-------+----
x4/3x . |  8 |  4  4 | 6 *
.   x3o |  3 |  0  3 | * 8

x4/3x3/2o

.   .   . | 24 |  1  2 | 2 1
----------+----+-------+----
x   .   . |  2 | 12  * | 2 0
.   x   . |  2 |  * 24 | 1 1
----------+----+-------+----
x4/3x   . |  8 |  4  4 | 6 *
.   x3/2o |  3 |  0  3 | * 8

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