Acronym | octacube (alt.: octap), oct || cube, K-4.15 |
Name |
octahedron atop cube, octahedral antiprism, cubical antiprism, vertex figure of icoap |
Segmentochoron display | |
Circumradius | sqrt[(4+sqrt(2))/7] = 0.879465 |
Lace city in approx. ASCII-art |
o4o x4o o4o o4x o4x |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex) |
Dihedral angles | |
Face vector | 14, 48, 62, 28 |
Confer |
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External links |
The analysis of the being used lacing facets shows that the half-height section results in a half-edge sized sirco.
Incidence matrix according to Dynkin symbol
xo3oo4ox&#x → height = sqrt[2 sqrt(2)-1]/2 = 0.676097
(oct || cube)
o.3o.4o. | 6 * ♦ 4 4 0 | 4 8 4 0 | 1 4 4 1 0
.o3.o4.o | * 8 | 0 3 3 | 0 3 6 3 | 0 1 3 3 1
------------+-----+----------+-----------+-----------
x. .. .. | 2 0 | 12 * * | 2 2 0 0 | 1 2 1 0 0
oo3oo4oo&#x | 1 1 | * 24 * | 0 2 2 0 | 0 1 2 1 0
.. .. .x | 0 2 | * * 12 | 0 0 2 2 | 0 0 1 2 1
------------+-----+----------+-----------+-----------
x.3o. .. | 3 0 | 3 0 0 | 8 * * * | 1 1 0 0 0
xo .. ..&#x | 2 1 | 1 2 0 | * 24 * * | 0 1 1 0 0
.. .. ox&#x | 1 2 | 0 2 1 | * * 24 * | 0 0 1 1 0
.. .o4.x | 0 4 | 0 0 4 | * * * 6 | 0 0 0 1 1
------------+-----+----------+-----------+-----------
x.3o.4o. ♦ 6 0 | 12 0 0 | 8 0 0 0 | 1 * * * *
xo3oo ..&#x ♦ 3 1 | 3 3 0 | 1 3 0 0 | * 8 * * *
xo .. ox&#x ♦ 2 2 | 1 4 1 | 0 2 2 0 | * * 12 * *
.. oo4ox&#x ♦ 1 4 | 0 4 4 | 0 0 4 1 | * * * 6 *
.o3.o4.x ♦ 0 8 | 0 0 12 | 0 0 0 6 | * * * * 1
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