Acronym | tetaco ausrip |
Name | tetaco-augmented srip |
Lace city in approx. ASCII-art |
+-- xxo oxx&#xt (gybef) / x o o x -- x3o3o (tet) x x ou uo x x -- x3o3x (co) o x x u u x x o -- o3x3x (inv tut) o o x x o o -- o3x3o (oct) |
o3x o3o -- x3o3o (tet) o3x x3x x3o -- x3o3x (co) x3o u3o x3x -- o3x3x (inv tut) x3o o3x -- o3x3o (oct) | |
Dihedral angles |
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Face vector | 34, 108, 102, 28 |
Confer |
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A multi-augmentation with further tetacoes surely is possible, but that one would no longer be CRF, as tet-3-co (of tetaco) + co-3-co (of srip) + tet-3-co (of tetaco) = 3x 75.522488° will be concave.
Incidence matrix according to Dynkin symbol
xxoo3ooxx3oxxo&#xt → all heights = sqrt(5/8) = 0.790569 (tet || co || inv tut || oct) o...3o...3o... | 4 * * * ♦ 3 3 0 0 0 0 0 0 0 | 3 6 3 0 0 0 0 0 0 0 0 0 0 | 1 3 3 1 0 0 0 0 .o..3.o..3.o.. | * 12 * * | 0 1 2 2 2 0 0 0 0 | 0 2 2 1 1 2 1 0 0 0 0 0 0 | 0 1 2 1 1 1 0 0 ..o.3..o.3..o. | * * 12 * ♦ 0 0 0 0 2 2 1 1 0 | 0 0 0 0 0 1 2 2 1 2 1 0 0 | 0 0 1 0 1 2 1 0 ...o3...o3...o | * * * 6 ♦ 0 0 0 0 0 0 0 2 4 | 0 0 0 0 0 0 0 0 0 4 1 2 2 | 0 0 0 0 0 2 2 1 -------------------+-----------+--------------------------+---------------------------------+---------------- x... .... .... | 2 0 0 0 | 6 * * * * * * * * | 2 2 0 0 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 0 oo..3oo..3oo..&#x | 1 1 0 0 | * 12 * * * * * * * | 0 2 2 0 0 0 0 0 0 0 0 0 0 | 0 1 2 1 0 0 0 0 .x.. .... .... | 0 2 0 0 | * * 12 * * * * * * | 0 1 0 1 0 1 0 0 0 0 0 0 0 | 0 1 1 0 1 0 0 0 .... .... .x.. | 0 2 0 0 | * * * 12 * * * * * | 0 0 1 0 1 0 0 1 0 0 0 0 0 | 0 0 1 1 0 1 0 0 .oo.3.oo.3.oo.&#x | 0 1 1 0 | * * * * 24 * * * * | 0 0 0 0 0 1 1 1 0 0 0 0 0 | 0 0 1 0 1 1 0 0 .... ..x. .... | 0 0 2 0 | * * * * * 12 * * * | 0 0 0 0 0 0 1 0 1 1 0 0 0 | 0 0 0 0 1 1 1 0 .... .... ..x. | 0 0 2 0 | * * * * * * 6 * * | 0 0 0 0 0 0 0 2 0 0 1 0 0 | 0 0 1 0 0 2 0 0 ..oo3..oo3..oo&#x | 0 0 1 1 | * * * * * * * 12 * | 0 0 0 0 0 0 0 0 0 2 1 0 0 | 0 0 0 0 0 2 1 0 .... ...x .... | 0 0 0 2 | * * * * * * * * 12 | 0 0 0 0 0 0 0 0 0 1 0 1 1 | 0 0 0 0 0 1 1 1 -------------------+-----------+--------------------------+---------------------------------+---------------- x...3o... .... | 3 0 0 0 | 3 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 xx.. .... ....&#x | 2 2 0 0 | 1 2 1 0 0 0 0 0 0 | * 12 * * * * * * * * * * * | 0 1 1 0 0 0 0 0 .... .... ox..&#x | 1 2 0 0 | 0 2 0 1 0 0 0 0 0 | * * 12 * * * * * * * * * * | 0 0 1 1 0 0 0 0 .x..3.o.. .... | 0 3 0 0 | 0 0 3 0 0 0 0 0 0 | * * * 4 * * * * * * * * * | 0 1 0 0 1 0 0 0 .... .o..3.x.. | 0 3 0 0 | 0 0 0 3 0 0 0 0 0 | * * * * 4 * * * * * * * * | 0 0 0 1 0 1 0 0 .xo. .... ....&#x | 0 2 1 0 | 0 0 1 0 2 0 0 0 0 | * * * * * 12 * * * * * * * | 0 0 1 0 1 0 0 0 .... .ox. ....&#x | 0 1 2 0 | 0 0 0 0 2 1 0 0 0 | * * * * * * 12 * * * * * * | 0 0 0 0 1 1 0 0 .... .... .xx.&#x | 0 2 2 0 | 0 0 0 1 2 0 1 0 0 | * * * * * * * 12 * * * * * | 0 0 1 0 0 1 0 0 ..o.3..x. .... | 0 0 3 0 | 0 0 0 0 0 3 0 0 0 | * * * * * * * * 4 * * * * | 0 0 0 0 1 0 1 0 .... ..xx ....&#x | 0 0 2 2 | 0 0 0 0 0 1 0 2 1 | * * * * * * * * * 12 * * * | 0 0 0 0 0 1 1 0 .... .... ..xo&#x | 0 0 2 1 | 0 0 0 0 0 0 1 2 0 | * * * * * * * * * * 6 * * | 0 0 0 0 0 2 0 0 ...o3...x .... | 0 0 0 3 | 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * 4 * | 0 0 0 0 0 0 1 1 .... ...x3...o | 0 0 0 3 | 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * 4 | 0 0 0 0 0 1 0 1 -------------------+-----------+--------------------------+---------------------------------+---------------- x...3o...3o... ♦ 4 0 0 0 | 6 0 0 0 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * xx..3oo.. ....&#x ♦ 3 3 0 0 | 3 3 3 0 0 0 0 0 0 | 1 3 0 1 0 0 0 0 0 0 0 0 0 | * 4 * * * * * * xxo. .... oxx.&#xt ♦ 2 4 2 0 | 1 4 2 2 4 0 1 0 0 | 0 2 2 0 0 2 0 2 0 0 0 0 0 | * * 6 * * * * * .... oo..3ox..&#x ♦ 1 3 0 0 | 0 3 0 3 0 0 0 0 0 | 0 0 3 0 1 0 0 0 0 0 0 0 0 | * * * 4 * * * * .xo.3.ox. ....&#x ♦ 0 3 3 0 | 0 0 3 0 6 3 0 0 0 | 0 0 0 1 0 3 3 0 1 0 0 0 0 | * * * * 4 * * * .... .oxx3.xxo&#xt ♦ 0 3 6 3 | 0 0 0 3 6 3 3 6 3 | 0 0 0 0 1 0 3 3 0 3 3 0 1 | * * * * * 4 * * ..oo3..xx ....&#x ♦ 0 0 3 3 | 0 0 0 0 0 3 0 3 3 | 0 0 0 0 0 0 0 0 1 3 0 1 0 | * * * * * * 4 * ...o3...x3...o ♦ 0 0 0 6 | 0 0 0 0 0 0 0 0 12 | 0 0 0 0 0 0 0 0 0 0 0 4 4 | * * * * * * * 1
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