Acronym | gyetac |
Name |
gyroelongated triacontaditeron, parabiapiculated demipenteract |
Circumradius | ... |
Lace city in approx. ASCII-art |
o where: T T = x3o3o (tet) o O o t = o3o3x (dual tet) t O = o3x3o (oct) o o = o3o3o (point) | | | + o3o3o *b3o (point) | | +---- x3o3o *b3o (hex) | +-------- o3o3o *b3x (gyro hex) +------------ o3o3o *b3o (point) |
Dihedral angles | |
Face vector | 18, 96, 208, 168, 40 |
Confer |
|
This polyteron is nothing but an external blend of hin and 2 antipodal hexpies, adjoining at an hex. There it just happens that the dihedral angle between some of the pens becomes flat, i.e. they join into a tete each.
This CRF also occurs as partial Stott contraction of pabgysiphin.
Incidence matrix according to Dynkin symbol
oxoo3oooo3ooxo *b3oooo&#xt → all heights = 1/sqrt(2) = 0.707107 (pt || hex || gyro hex || pt) o...3o...3o... *b3o... & | 2 * ♦ 8 0 0 | 24 0 0 | 32 0 0 0 | 8 8 0 .o..3.o..3.o.. *b3.o.. & | * 16 | 1 6 4 | 6 12 18 | 12 4 16 6 | 4 5 4 -----------------------------+------+----------+----------+-------------+-------- oo..3oo..3oo.. *b3oo..&#x & | 1 1 | 16 * * ♦ 6 0 0 | 12 0 0 0 | 4 4 0 .x.. .... .... .... & | 0 2 | * 48 * | 1 4 2 | 4 2 4 1 | 2 2 2 .oo.3.oo.3.oo. *b3.oo.&#x | 0 2 | * * 32 ♦ 0 0 6 | 0 0 6 3 | 0 2 3 -----------------------------+------+----------+----------+-------------+-------- ox.. .... .... ....&#x & | 1 2 | 2 1 0 | 48 * * | 4 0 0 0 | 2 2 0 .x..3.o.. .... .... & | 0 3 | 0 3 0 | * 64 * | 1 1 1 0 | 1 1 1 .xo. .... .... ....&#x & | 0 3 | 0 1 2 | * * 96 | 0 0 2 1 | 0 1 2 -----------------------------+------+----------+----------+-------------+-------- ox..3oo.. .... ....&#x & ♦ 1 3 | 3 3 0 | 3 1 0 | 64 * * * | 1 1 0 .x..3.o..3.o.. .... & ♦ 0 4 | 0 6 0 | 0 4 0 | * 16 * * | 1 0 1 .xo.3.oo. .... ....&#x & ♦ 0 4 | 0 3 3 | 0 1 3 | * * 64 * | 0 1 1 .xo. .... .ox. ....&#x ♦ 0 4 | 0 2 4 | 0 0 4 | * * * 24 | 0 0 2 -----------------------------+------+----------+----------+-------------+-------- ox..3oo..3oo.. ....&#x & ♦ 1 4 | 4 6 0 | 6 4 0 | 4 1 0 0 | 16 * * oxo.3ooo. .... *b3ooo.&#xt & ♦ 1 5 | 4 6 4 | 6 4 6 | 4 0 4 0 | * 16 * .xo.3.oo.3.ox. ....&#x ♦ 0 8 | 0 12 12 | 0 8 24 | 0 2 8 6 | * * 8
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