Acronym | tetaco altut |
Name | tetrahedron atop cuboctahedron atop inverted truncated tetrahedron |
© | |
Circumradius | ... |
Lace city in approx. ASCII-art |
x o o x -- tet x x uo ou x x -- co o x x u u x x o -- inv tut \ +-- gybef |
o3x o3o -- tet o3x x3x x3o -- co x3o u3o x3x -- inv tut | |
Dihedral angles |
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Face vector | 28, 84, 80, 24 |
Confer |
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Incidence matrix according to Dynkin symbol
oxx3oox3xxo&#xt → both heights = sqrt(5/8) = 0.790569 (tet || pseudo co || inv tut) o..3o..3o.. | 4 * * ♦ 3 3 0 0 0 0 0 | 3 3 6 0 0 0 0 0 0 0 | 1 1 3 3 0 0 0 .o.3.o.3.o. | * 12 * | 0 1 2 2 2 0 0 | 0 2 2 1 1 2 1 2 0 0 | 0 1 2 1 1 1 0 ..o3..o3..o | * * 12 | 0 0 0 0 2 1 2 | 0 0 0 0 0 2 2 1 2 1 | 0 0 1 0 2 1 1 ----------------+---------+--------------------+--------------------------+-------------- ... ... x.. | 2 0 0 | 6 * * * * * * | 2 0 2 0 0 0 0 0 0 0 | 1 0 1 2 0 0 0 oo.3oo.3oo.&#x | 1 1 0 | * 12 * * * * * | 0 2 2 0 0 0 0 0 0 0 | 0 1 2 1 0 0 0 .x. ... ... | 0 2 0 | * * 12 * * * * | 0 1 0 1 0 1 0 0 0 0 | 0 1 1 0 1 0 0 ... ... .x. | 0 2 0 | * * * 12 * * * | 0 0 1 0 1 0 0 1 0 0 | 0 0 1 1 0 1 0 .oo3.oo3.oo&#x | 0 1 1 | * * * * 24 * * | 0 0 0 0 0 1 1 1 0 0 | 0 0 1 0 1 1 0 ..x ... ... | 0 0 2 | * * * * * 6 * | 0 0 0 0 0 2 0 0 2 0 | 0 0 1 0 2 0 1 ... ..x ... | 0 0 2 | * * * * * * 12 | 0 0 0 0 0 0 1 0 1 1 | 0 0 0 0 1 1 1 ----------------+---------+--------------------+--------------------------+-------------- ... o..3x.. | 3 0 0 | 3 0 0 0 0 0 0 | 4 * * * * * * * * * | 1 0 0 1 0 0 0 ox. ... ...&#x | 1 2 0 | 0 2 1 0 0 0 0 | * 12 * * * * * * * * | 0 1 1 0 0 0 0 ... ... xx.&#x | 2 2 0 | 1 2 0 1 0 0 0 | * * 12 * * * * * * * | 0 0 1 1 0 0 0 .x.3.o. ... | 0 3 0 | 0 0 3 0 0 0 0 | * * * 4 * * * * * * | 0 1 0 0 1 0 0 ... .o.3.x. | 0 3 0 | 0 0 0 3 0 0 0 | * * * * 4 * * * * * | 0 0 0 1 0 1 0 .xx ... ...&#x | 0 2 2 | 0 0 1 0 2 1 0 | * * * * * 12 * * * * | 0 0 1 0 1 0 0 ... .ox ...&#x | 0 1 2 | 0 0 0 0 2 0 1 | * * * * * * 12 * * * | 0 0 0 0 1 1 0 ... ... .xo&#x | 0 2 1 | 0 0 0 1 2 0 0 | * * * * * * * 12 * * | 0 0 1 0 0 1 0 ..x3..x ... | 0 0 6 | 0 0 0 0 0 3 3 | * * * * * * * * 4 * | 0 0 0 0 1 0 1 ... ..x3..o | 0 0 3 | 0 0 0 0 0 0 3 | * * * * * * * * * 4 | 0 0 0 0 0 1 1 ----------------+---------+--------------------+--------------------------+-------------- o..3o..3x.. ♦ 4 0 0 | 6 0 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 | 1 * * * * * * ox.3oo. ...&#x ♦ 1 3 0 | 0 3 3 0 0 0 0 | 0 3 0 1 0 0 0 0 0 0 | * 4 * * * * * oxx ... xxo&#xt ♦ 2 4 2 | 1 4 2 2 4 1 0 | 0 2 2 0 0 2 0 2 0 0 | * * 6 * * * * ... oo.3xx.&#x ♦ 3 3 0 | 3 3 0 3 0 0 0 | 1 0 3 0 1 0 0 0 0 0 | * * * 4 * * * .xx3.ox ...&#x ♦ 0 3 6 | 0 0 3 0 6 3 3 | 0 0 0 1 0 3 3 0 1 0 | * * * * 4 * * ... .ox3.xo&#x ♦ 0 3 3 | 0 0 0 3 6 0 3 | 0 0 0 0 1 0 3 3 0 1 | * * * * * 4 * ..x3..x3..o ♦ 0 0 12 | 0 0 0 0 0 6 12 | 0 0 0 0 0 0 0 0 4 4 | * * * * * * 1
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