Acronym cubaco, cube || co, K-4.35
Name cube atop cuboctahedron,
cubical cupola
Segmentochoron display
Circumradius sqrt[(16+6 sqrt(2))/23] = 1.031784
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
(at margins)
  • at {3} between squap and tet:   arccos[-(sqrt(8)-1)/sqrt(sqrt(128))] = 122.928678°
  • at {4} between cube and squap:   arccos[-(sqrt(2)-1)/sqrt(sqrt(8))] = 104.258250°
  • at {3} between co and tet:   arccos[-(3-sqrt(8))/sqrt(8)] = 93.477707°
  • at {3} between squap and squap:   arccos[-(3-sqrt(8))/sqrt(8)] = 93.477707°
  • at {4} between co and squap:   arccos[(sqrt(2)-1)/sqrt(sqrt(8))] = 75.741750°
Confer
general polytopal classes:
segmentochora   fundamental lace prisms  

Incidence matrix according to Dynkin symbol

oo3ox4xo&#x   → height = sqrt[sqrt(2)-3/4] = 0.814993
(cube || co)

o.3o.4o.    | 8  * |  3  3  0 | 3  3  3 0 0 | 1 1 3 0
.o3.o4.o    | * 12 |  0  2  4 | 0  4  1 2 2 | 0 2 2 1
------------+------+----------+-------------+--------
.. .. x.    | 2  0 | 12  *  * | 2  0  1 0 0 | 1 0 2 0
oo3oo4oo&#x | 1  1 |  * 24  * | 0  2  1 0 0 | 0 1 2 0
.. .x ..    | 0  2 |  *  * 24 | 0  1  0 1 1 | 0 1 1 1
------------+------+----------+-------------+--------
.. o.4x.    | 4  0 |  4  0  0 | 6  *  * * * | 1 0 1 0
.. ox ..&#x | 1  2 |  0  2  1 | * 24  * * * | 0 1 1 0
.. .. xo&#x | 2  1 |  1  2  0 | *  * 12 * * | 0 0 2 0
.o3.x ..    | 0  3 |  0  0  3 | *  *  * 8 * | 0 1 0 1
.. .x4.o    | 0  4 |  0  0  4 | *  *  * * 6 | 0 0 1 1
------------+------+----------+-------------+--------
o.3o.4x.     8  0 | 12  0  0 | 6  0  0 0 0 | 1 * * *
oo3ox ..&#x  1  3 |  0  3  3 | 0  3  0 1 0 | * 8 * *
.. ox4xo&#x  4  4 |  4  8  4 | 1  4  4 0 1 | * * 6 *
.o3.x4.o     0 12 |  0  0 24 | 0  0  0 8 6 | * * * 1

snubbed forms: oo3ox4so&#x

© 2004-2018
top of page