Acronym | taccasc |
Name |
triacontiditeron scalene, half of hexacontitetrapeton pyramid, quarter of hecatonicosoctaexon |
Circumradius | 1/sqrt(2) = 0.707107 |
Lace city in approx. ASCII-art |
o where: o = o3o3o3o4o (pt) T o T = x3o3o3o4o (tac) |
Face vector | 12, 61, 170, 280, 272, 145, 34 |
Confer |
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Incidence matrix according to Dynkin symbol
xo ox3oo3oo3oo4oo&#x → height = 1/2 (pyramid product of line with tac) o. o.3o.3o.3o.4o. | 2 * ♦ 1 10 0 | 10 40 0 | 40 80 0 | 80 80 0 | 80 32 0 | 32 1 .o .o3.o3.o3.o4.o | * 10 ♦ 0 2 8 | 1 16 24 | 8 48 32 | 24 64 16 | 32 32 1 | 16 2 ---------------------+------+---------+----------+-----------+-----------+---------+----- x. .. .. .. .. .. | 2 0 | 1 * * ♦ 10 0 0 | 40 0 0 | 80 0 0 | 80 0 0 | 32 0 oo oo3oo3oo3oo4oo&#x | 1 1 | * 20 * ♦ 1 8 0 | 8 24 0 | 24 32 0 | 32 16 0 | 16 1 .. .x .. .. .. .. | 0 2 | * * 40 ♦ 0 2 6 | 1 12 12 | 6 24 8 | 12 16 1 | 8 2 ---------------------+------+---------+----------+-----------+-----------+---------+----- xo .. .. .. .. ..&#x | 2 1 | 1 2 0 | 10 * * ♦ 8 0 0 | 24 0 0 | 32 0 0 | 16 0 .. ox .. .. .. ..&#x | 1 2 | 0 2 1 | * 80 * ♦ 1 6 0 | 6 12 0 | 12 8 0 | 8 1 .. .x3.o .. .. .. | 0 3 | 0 0 3 | * * 80 ♦ 0 2 4 | 1 8 4 | 4 8 1 | 4 2 ---------------------+------+---------+----------+-----------+-----------+---------+----- xo ox .. .. .. ..&#x ♦ 2 2 | 1 4 1 | 2 2 0 | 40 * * ♦ 6 0 0 | 12 0 0 | 8 0 .. ox3oo .. .. ..&#x ♦ 1 3 | 0 3 3 | 0 3 1 | * 160 * ♦ 1 4 0 | 4 4 0 | 4 1 .. .x3.o3.o .. .. ♦ 0 4 | 0 0 6 | 0 0 4 | * * 80 | 0 2 2 | 1 4 1 | 2 2 ---------------------+------+---------+----------+-----------+-----------+---------+----- xo ox3oo .. .. ..&#x ♦ 2 3 | 1 6 3 | 3 6 1 | 3 2 0 | 80 * * | 4 0 0 | 4 0 .. ox3oo3oo .. ..&#x ♦ 1 4 | 0 4 6 | 0 6 4 | 0 4 1 | * 160 * | 1 2 0 | 2 1 .. .x3.o3.o3.o .. ♦ 0 5 | 0 0 10 | 0 0 10 | 0 0 5 | * * 32 | 0 2 1 | 1 2 ---------------------+------+---------+----------+-----------+-----------+---------+----- xo ox3oo3oo .. ..&#x ♦ 2 4 | 1 8 6 | 4 12 4 | 6 8 1 | 4 2 0 | 80 * * | 2 0 .. ox3oo3oo3oo ..&#x ♦ 1 5 | 0 5 10 | 0 10 10 | 0 10 5 | 0 5 1 | * 64 * | 1 1 .. .x3.o3.o3.o4.o ♦ 0 10 | 0 0 40 | 0 0 80 | 0 0 80 | 0 0 32 | * * 1 | 0 2 ---------------------+------+---------+----------+-----------+-----------+---------+----- xo ox3oo3oo3oo ..&#x ♦ 2 5 | 1 10 10 | 5 20 10 | 10 20 5 | 10 10 1 | 5 2 0 | 32 * .. ox3oo3oo3oo4oo&#x ♦ 1 10 | 0 10 40 | 0 40 80 | 0 80 80 | 0 80 32 | 0 32 1 | * 2
xo ox3oo3oo3oo *d3oo&#x → height = 1/2 (pyramid product of line with tac) o. o.3o.3o.3o. *d3o. | 2 * ♦ 1 10 0 | 10 40 0 | 40 80 0 | 80 80 0 0 | 80 16 16 0 | 16 16 1 .o .o3.o3.o3.o *d3.o | * 10 ♦ 0 2 8 | 1 16 24 | 8 48 32 | 24 64 8 8 | 32 16 16 1 | 8 8 2 ------------------------+------+---------+----------+-----------+--------------+------------+-------- x. .. .. .. .. .. | 2 0 | 1 * * ♦ 10 0 0 | 40 0 0 | 80 0 0 0 | 80 0 0 0 | 16 16 0 oo oo3oo3oo3oo *d3oo&#x | 1 1 | * 20 * ♦ 1 8 0 | 8 24 0 | 24 32 0 0 | 32 8 8 0 | 8 8 1 .. .x .. .. .. .. | 0 2 | * * 40 ♦ 0 2 6 | 1 12 12 | 6 24 4 4 | 12 8 8 1 | 4 4 2 ------------------------+------+---------+----------+-----------+--------------+------------+-------- xo .. .. .. .. ..&#x | 2 1 | 1 2 0 | 10 * * ♦ 8 0 0 | 24 0 0 0 | 32 0 0 0 | 8 8 0 .. ox .. .. .. ..&#x | 1 2 | 0 2 1 | * 80 * ♦ 1 6 0 | 6 12 0 0 | 12 4 4 0 | 4 4 1 .. .x3.o .. .. .. | 0 3 | 0 0 3 | * * 80 ♦ 0 2 4 | 1 8 2 2 | 4 4 4 1 | 2 2 2 ------------------------+------+---------+----------+-----------+--------------+------------+-------- xo ox .. .. .. ..&#x ♦ 2 2 | 1 4 1 | 2 2 0 | 40 * * ♦ 6 0 0 0 | 12 0 0 0 | 4 4 0 .. ox3oo .. .. ..&#x ♦ 1 3 | 0 3 3 | 0 3 1 | * 160 * ♦ 1 4 0 0 | 4 2 2 0 | 2 2 1 .. .x3.o3.o .. .. ♦ 0 4 | 0 0 6 | 0 0 4 | * * 80 | 0 2 1 1 | 1 2 2 1 | 1 1 2 ------------------------+------+---------+----------+-----------+--------------+------------+-------- xo ox3oo .. .. ..&#x ♦ 2 3 | 1 6 3 | 3 6 1 | 3 2 0 | 80 * * * | 4 0 0 0 | 2 2 0 .. ox3oo3oo .. ..&#x ♦ 1 4 | 0 4 6 | 0 6 4 | 0 4 1 | * 160 * * | 1 1 1 0 | 1 1 1 .. .x3.o3.o3.o .. ♦ 0 5 | 0 0 10 | 0 0 10 | 0 0 5 | * * 16 * | 0 2 0 1 | 1 0 2 .. .x3.o3.o .. *d3.o ♦ 0 5 | 0 0 10 | 0 0 10 | 0 0 5 | * * * 16 | 0 0 2 1 | 0 1 2 ------------------------+------+---------+----------+-----------+--------------+------------+-------- xo ox3oo3oo .. ..&#x ♦ 2 4 | 1 8 6 | 4 12 4 | 6 8 1 | 4 2 0 0 | 80 * * * | 1 1 0 .. ox3oo3oo3oo ..&#x ♦ 1 5 | 0 5 10 | 0 10 10 | 0 10 5 | 0 5 1 0 | * 32 * * | 1 0 1 .. ox3oo3oo .. *d3oo&#x ♦ 1 5 | 0 5 10 | 0 10 10 | 0 10 5 | 0 5 0 1 | * * 32 * | 0 1 1 .. .x3.o3.o3.o *d3.o ♦ 0 10 | 0 0 40 | 0 0 80 | 0 0 80 | 0 0 16 16 | * * * 1 | 0 0 2 ------------------------+------+---------+----------+-----------+--------------+------------+-------- xo ox3oo3oo3oo ..&#x ♦ 2 5 | 1 10 10 | 5 20 10 | 10 20 5 | 10 10 1 0 | 5 2 0 0 | 16 * * xo ox3oo3oo .. *d3oo&#x ♦ 2 5 | 1 10 10 | 5 20 10 | 10 20 5 | 10 10 0 1 | 5 0 2 0 | * 16 * .. ox3oo3oo3oo *d3oo&#x ♦ 1 10 | 0 10 40 | 0 40 80 | 0 80 80 | 0 80 16 16 | 0 16 16 1 | * * 2
ooo3ooo3ooo *b3ooo3xoo&#x → height(1,2) = height(1,3) = 1/sqrt(2) = 0.707107 height(2,3) = 1 (tac, point, point)-trigonic o..3o..3o.. *b3o..3o.. | 10 * * ♦ 8 1 1 0 | 24 8 1 8 | 32 24 8 24 | 8 8 32 24 32 | 1 8 8 32 8 8 | 1 8 8 1 .o.3.o.3.o. *b3.o.3.o. | * 1 * ♦ 0 10 0 1 | 0 40 10 0 | 0 80 40 0 | 0 0 80 80 0 | 0 16 16 80 0 0 | 1 16 16 0 ..o3..o3..o *b3..o3..o | * * 1 ♦ 0 0 10 1 | 0 0 10 40 | 0 0 40 80 | 0 0 0 80 80 | 0 0 0 80 16 16 | 0 16 16 1 --------------------------+--------+------------+-------------+-------------+----------------+------------------+---------- ... ... ... ... x.. | 2 0 0 | 40 * * * ♦ 6 1 0 1 | 12 6 1 6 | 4 4 12 6 12 | 1 4 4 12 4 4 | 1 4 4 1 oo.3oo.3oo. *b3oo.3oo.&#x | 1 1 0 | * 10 * * ♦ 0 8 1 0 | 0 24 8 0 | 0 0 32 24 0 | 0 8 8 32 0 0 | 1 8 8 0 o.o3o.o3o.o *b3o.o3o.o&#x | 1 0 1 | * * 10 * ♦ 0 0 1 8 | 0 0 8 24 | 0 0 0 24 32 | 0 0 0 32 8 8 | 0 8 8 1 .oo3.oo3.oo *b3.oo3.oo&#x | 0 1 1 | * * * 1 ♦ 0 0 10 0 | 0 0 40 0 | 0 0 0 80 0 | 0 0 0 80 0 0 | 0 16 16 0 --------------------------+--------+------------+-------------+-------------+----------------+------------------+---------- ... ... ... o..3x.. | 3 0 0 | 3 0 0 0 | 80 * * * ♦ 4 1 0 1 | 2 2 4 1 4 | 1 2 2 4 2 2 | 1 2 2 1 ... ... ... ... xo.&#x | 2 1 0 | 1 2 0 0 | * 40 * * ♦ 0 6 1 0 | 0 0 12 6 0 | 0 4 4 12 0 0 | 1 4 4 0 ooo3ooo3ooo *b3ooo3ooo&#x | 1 1 1 | 0 1 1 1 | * * 10 * ♦ 0 0 8 0 | 0 0 0 24 0 | 0 0 0 32 0 0 | 0 8 8 0 ... ... ... ... x.o&#x | 2 0 1 | 1 0 2 0 | * * * 40 ♦ 0 0 1 6 | 0 0 0 6 12 | 0 0 0 12 4 4 | 0 4 4 1 --------------------------+--------+------------+-------------+-------------+----------------+------------------+---------- ... o.. ... *b3o..3x.. ♦ 4 0 0 | 6 0 0 0 | 4 0 0 0 | 80 * * * | 1 1 1 0 1 | 1 1 1 1 1 1 | 1 1 1 1 ... ... ... oo.3xo.&#x ♦ 3 1 0 | 3 3 0 0 | 1 3 0 0 | * 80 * * ♦ 0 0 4 1 0 | 0 2 2 4 0 0 | 1 2 2 0 ... ... ... ... xoo&#x ♦ 2 1 1 | 1 2 2 1 | 0 1 2 1 | * * 40 * ♦ 0 0 0 6 0 | 0 0 0 12 0 0 | 0 4 4 0 ... ... ... o.o3x.o&#x ♦ 3 0 1 | 3 0 3 0 | 1 0 0 3 | * * * 80 ♦ 0 0 0 1 4 | 0 0 0 4 2 2 | 0 2 2 1 --------------------------+--------+------------+-------------+-------------+----------------+------------------+---------- o..3o.. ... *b3o..3x.. ♦ 5 0 0 | 10 0 0 0 | 10 0 0 0 | 5 0 0 0 | 16 * * * * | 1 1 0 0 1 0 | 1 1 0 1 ... o..3o.. *b3o..3x.. ♦ 5 0 0 | 10 0 0 0 | 10 0 0 0 | 5 0 0 0 | * 16 * * * | 1 0 1 0 0 1 | 1 0 1 1 ... oo. ... *b3oo.3xo.&#x ♦ 4 1 0 | 6 4 0 0 | 4 6 0 0 | 1 4 0 0 | * * 80 * * | 0 1 1 1 0 0 | 1 1 1 0 ... ... ... ooo3xoo&#x ♦ 3 1 1 | 3 3 3 1 | 1 3 3 3 | 0 1 3 1 | * * * 80 * | 0 0 0 4 0 0 | 0 2 2 0 ... o.o ... *b3o.o3x.o&#x ♦ 4 0 1 | 6 0 4 0 | 4 0 0 6 | 1 0 0 4 | * * * * 80 | 0 0 0 1 1 1 | 0 1 1 1 --------------------------+--------+------------+-------------+-------------+----------------+------------------+---------- o..3o..3o.. *b3o..3x.. ♦ 10 0 0 | 40 0 0 0 | 80 0 0 0 | 80 0 0 0 | 16 16 0 0 0 | 1 * * * * * | 1 0 0 1 oo.3oo. ... *b3oo.3xo.&#x ♦ 5 1 0 | 10 5 0 0 | 10 10 0 0 | 5 10 0 0 | 1 0 5 0 0 | * 16 * * * * | 1 1 0 0 .. oo.3oo.. *b3oo.3xo.&#x ♦ 5 1 0 | 10 5 0 0 | 10 10 0 0 | 5 10 0 0 | 0 1 5 0 0 | * * 16 * * * | 1 0 1 0 ... ooo ... *b3ooo3xoo&#x ♦ 4 1 1 | 6 4 4 1 | 4 6 4 6 | 1 4 6 4 | 0 0 1 4 1 | * * * 80 * * | 0 1 1 0 o.o3o.o ... *b3o.o3x.o&#x ♦ 5 0 1 | 10 0 5 0 | 10 0 0 10 | 5 0 0 10 | 1 0 0 0 5 | * * * * 16 * | 0 1 0 1 ... o.o3o.o *b3o.o3x.o&#x ♦ 5 0 1 | 10 0 5 0 | 10 0 0 10 | 5 0 0 10 | 0 1 0 0 5 | * * * * * 16 | 0 0 1 1 --------------------------+--------+------------+-------------+-------------+----------------+------------------+---------- oo.3oo3oo.. *b3oo.3xo.&#x ♦ 10 1 0 | 40 10 0 0 | 80 40 0 0 | 80 80 0 0 | 16 16 80 0 0 | 1 16 16 0 0 0 | 1 * * * ooo3ooo ... *b3ooo3xoo&#x ♦ 5 1 1 | 10 5 5 1 | 10 10 5 10 | 5 10 10 10 | 1 0 5 10 5 | 0 1 0 5 1 0 | * 16 * * ... ooo3ooo *b3ooo3xoo&#x ♦ 5 1 1 | 10 5 5 1 | 10 10 5 10 | 5 10 10 10 | 0 1 5 10 5 | 0 0 1 5 0 1 | * * 16 * o.o3o.o3o.o *b3o.o3x.o&#x ♦ 10 0 1 | 40 0 10 0 | 80 0 0 40 | 80 0 0 80 | 16 16 0 0 80 | 1 0 0 0 16 16 | * * * 1
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