Acronym quitco
TOCID symbol tOC*
Name quasitruncated cuboctahedron,
great truncated cuboctahedron,
stellatruncated cuboctahedron
 
 © ©
Circumradius sqrt[13-6 sqrt(2)]/2 = 1.062393
Vertex figure [4,6,8/3]
Coordinates (1, sqrt(2)-1, 2 sqrt(2)-1)/2       all permutations, all changes of sign
General of army q3x4x
Colonel of regiment (is itself locally convex – no other uniform polyhedral members)
Dihedral angles
  • between {4} and {8/3}:   135°
  • between {6} and {8/3}:   arccos(1/sqrt(3)) = 54.735610°
  • between {4} and {6}:   arccos(sqrt(2/3)) = 35.264390°
External
links
hedrondude   wikipedia   WikiChoron   mathworld

As abstract polytope quitco is isomorphic to girco, thereby replacing octagrams by octagons.


Incidence matrix according to Dynkin symbol

x4/3x3x

.   . . | 48 |  1  1  1 | 1  1 1
--------+----+----------+-------
x   . . |  2 | 24  *  * | 1  1 0
.   x . |  2 |  * 24  * | 1  0 1
.   . x |  2 |  *  * 24 | 0  1 1
--------+----+----------+-------
x4/3x . |  8 |  4  4  0 | 6 *  *
x   . x |  4 |  2  0  2 | * 12 *
.   x3x |  6 |  0  3  3 | *  * 8

© 2004-2019
top of page