Acronym | opeatut (alt.: octoct tuttric) |
Name |
ope atop tut, (oct,oct,tut)-trigonic |
Circumradius | sqrt(17/12) = 1.190238 |
Lace city in approx. ASCII-art |
o3x3o o3x3o x3x3o |
Face vector | 24, 72, 84, 45, 11 |
Confer |
|
Incidence matrix according to Dynkin symbol
ox oo3xx3xo&#x → height = sqrt(3/8) = 0.612372
(tut || ope)
o. o.3o.3o. | 12 * | 2 1 2 0 0 | 1 2 1 4 2 0 0 0 | 1 2 1 2 4 0 0 0 | 1 2 2 0
.o .o3.o3.o | * 12 | 0 0 2 1 4 | 0 0 2 4 1 4 2 2 | 0 4 1 2 2 2 2 1 | 2 2 1 1
---------------+-------+--------------+---------------------+------------------+--------
.. .. x. .. | 2 0 | 12 * * * * | 1 1 0 2 0 0 0 0 | 1 1 0 2 2 0 0 0 | 1 1 2 0
.. .. .. x. | 2 0 | * 6 * * * | 0 2 0 0 2 0 0 0 | 1 0 1 0 4 0 0 0 | 0 2 2 0
oo oo3oo3oo&#x | 1 1 | * * 24 * * | 0 0 1 2 1 0 0 0 | 0 2 1 1 2 0 0 0 | 1 2 1 0
.x .. .. .. | 0 2 | * * * 6 * | 0 0 2 0 0 4 0 0 | 0 4 1 0 0 2 2 0 | 2 2 0 1
.. .. .x .. | 0 2 | * * * * 24 | 0 0 0 1 0 1 1 1 | 0 1 0 1 1 1 1 1 | 1 1 1 1
---------------+-------+--------------+---------------------+------------------+--------
.. o.3x. .. | 3 0 | 3 0 0 0 0 | 4 * * * * * * * | 1 0 0 2 0 0 0 0 | 1 0 2 0
.. .. x.3x. | 6 0 | 3 3 0 0 0 | * 4 * * * * * * | 1 0 0 0 2 0 0 0 | 0 1 2 0
ox .. .. ..&#x | 1 2 | 0 0 2 1 0 | * * 12 * * * * * | 0 2 1 0 0 0 0 0 | 1 2 0 0
.. .. xx ..&#x | 2 2 | 1 0 2 0 1 | * * * 24 * * * * | 0 1 0 1 1 0 0 0 | 1 1 1 0
.. .. .. xo&#x | 2 1 | 0 1 2 0 0 | * * * * 12 * * * | 0 0 1 0 2 0 0 0 | 0 2 1 0
.x .. .x .. | 0 4 | 0 0 0 2 2 | * * * * * 12 * * | 0 1 0 0 0 1 1 0 | 1 1 0 1
.. .o3.x .. | 0 3 | 0 0 0 0 3 | * * * * * * 8 * | 0 0 0 1 0 1 0 1 | 1 0 1 1
.. .. .x3.o | 0 3 | 0 0 0 0 3 | * * * * * * * 8 | 0 0 0 0 1 0 1 1 | 0 1 1 1
---------------+-------+--------------+---------------------+------------------+--------
.. o.3x.3x. ♦ 12 0 | 12 6 0 0 0 | 4 4 0 0 0 0 0 0 | 1 * * * * * * * | 0 0 2 0
ox .. xx ..&#x ♦ 2 4 | 1 0 4 2 2 | 0 0 2 2 0 1 0 0 | * 12 * * * * * * | 1 1 0 0
ox .. .. xo&#x ♦ 2 2 | 0 1 4 1 0 | 0 0 2 0 2 0 0 0 | * * 6 * * * * * | 0 2 0 0
.. oo3xx ..&#x ♦ 3 3 | 3 0 3 0 3 | 1 0 0 3 0 0 1 0 | * * * 8 * * * * | 1 0 1 0
.. .. xx3xo&#x ♦ 6 3 | 3 3 6 0 3 | 0 1 0 3 3 0 0 1 | * * * * 8 * * * | 0 1 1 0
.x .o3.x .. ♦ 0 6 | 0 0 0 3 6 | 0 0 0 0 0 3 2 0 | * * * * * 4 * * | 1 0 0 1
.x .. .x3.o ♦ 0 6 | 0 0 0 3 6 | 0 0 0 0 0 3 0 2 | * * * * * * 4 * | 0 1 0 1
.. .o3.x3.o ♦ 0 6 | 0 0 0 0 12 | 0 0 0 0 0 0 4 4 | * * * * * * * 2 | 0 0 1 1
---------------+-------+--------------+---------------------+------------------+--------
ox oo3xx ..&#x ♦ 3 6 | 3 0 6 3 6 | 1 0 3 6 0 3 2 0 | 0 3 0 2 0 1 0 0 | 4 * * *
ox .. xx3xo&#x ♦ 6 6 | 3 3 12 3 6 | 0 1 6 6 6 3 0 2 | 0 3 3 0 2 0 1 0 | * 4 * *
.. oo3xx3xo&#x ♦ 12 6 | 12 6 12 0 12 | 4 4 0 12 6 0 4 4 | 1 0 0 4 4 0 0 1 | * * 2 *
.x .o3.x3.o ♦ 0 12 | 0 0 0 6 24 | 0 0 0 0 0 12 8 8 | 0 0 0 0 0 4 4 2 | * * * 1
ooo3xxx3oox&#x → height(1,2) = 1 height(1,3) = height(2,3) = sqrt(5/8) = 0.790569 o..3o..3o.. | 6 * * | 4 1 2 0 0 0 0 | 2 2 4 2 4 1 0 0 0 0 0 0 | 1 2 2 4 1 2 2 0 0 0 0 | 1 2 2 1 0 .o.3.o.3.o. | * 6 * | 0 1 0 4 2 0 0 | 0 0 4 2 0 0 2 2 4 1 0 0 | 0 2 2 4 1 0 0 1 2 2 0 | 1 2 2 0 1 ..o3..o3..o | * * 12 | 0 0 1 0 1 2 1 | 0 0 0 1 2 1 0 0 2 1 1 2 | 0 0 0 2 1 1 2 0 1 2 1 | 0 1 2 1 1 ---------------+--------+--------------------+-----------------------------+------------------------+---------- ... x.. ... | 2 0 0 | 12 * * * * * * | 1 1 1 0 1 0 0 0 0 0 0 0 | 1 1 1 1 0 1 1 0 0 0 0 | 1 1 1 1 0 oo.3oo.3oo.&#x | 1 1 0 | * 6 * * * * * | 0 0 4 2 0 0 0 0 0 0 0 0 | 0 2 2 4 1 0 0 0 0 0 0 | 1 2 2 0 0 o.o3o.o3o.o&#x | 1 0 1 | * * 12 * * * * | 0 0 0 1 2 1 0 0 0 0 0 0 | 0 0 0 2 1 1 2 0 0 0 0 | 0 1 2 1 0 ... .x. ... | 0 2 0 | * * * 12 * * * | 0 0 1 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1 .oo3.oo3.oo&#x | 0 1 1 | * * * * 12 * * | 0 0 0 1 0 0 0 0 2 1 0 0 | 0 0 0 2 1 0 0 0 1 2 0 | 0 1 2 0 1 ... ..x ... | 0 0 2 | * * * * * 12 * | 0 0 0 0 1 0 0 0 1 0 1 1 | 0 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ... ... ..x | 0 0 2 | * * * * * * 6 | 0 0 0 0 0 1 0 0 0 1 0 2 | 0 0 0 0 1 0 2 0 0 2 1 | 0 0 2 1 1 ---------------+--------+--------------------+-----------------------------+------------------------+---------- o..3x.. ... | 3 0 0 | 3 0 0 0 0 0 0 | 4 * * * * * * * * * * * | 1 1 0 0 0 1 0 0 0 0 0 | 1 1 0 1 0 ... x..3o.. | 3 0 0 | 3 0 0 0 0 0 0 | * 4 * * * * * * * * * * | 1 0 1 0 0 0 1 0 0 0 0 | 1 0 1 1 0 ... xx. ...&#x | 2 2 0 | 1 2 0 1 0 0 0 | * * 12 * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 ooo3ooo3ooo&#x | 1 1 1 | 0 1 1 0 1 0 0 | * * * 12 * * * * * * * * | 0 0 0 2 1 0 0 0 0 0 0 | 0 1 2 0 0 ... x.x ...&#x | 2 0 2 | 1 0 2 0 0 1 0 | * * * * 12 * * * * * * * | 0 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 ... ... o.x&#x | 1 0 2 | 0 0 2 0 0 0 1 | * * * * * 6 * * * * * * | 0 0 0 0 1 0 2 0 0 0 0 | 0 0 2 1 0 .o.3.x. ... | 0 3 0 | 0 0 0 3 0 0 0 | * * * * * * 4 * * * * * | 0 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 ... .x.3.o. | 0 3 0 | 0 0 0 3 0 0 0 | * * * * * * * 4 * * * * | 0 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 ... .xx ...&#x | 0 2 2 | 0 0 0 1 2 1 0 | * * * * * * * * 12 * * * | 0 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 ... ... .ox&#x | 0 1 2 | 0 0 0 0 2 0 1 | * * * * * * * * * 6 * * | 0 0 0 0 1 0 0 0 0 2 0 | 0 0 2 0 1 ..o3..x ... | 0 0 3 | 0 0 0 0 0 3 0 | * * * * * * * * * * 4 * | 0 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 ... ..x3..x | 0 0 6 | 0 0 0 0 0 3 3 | * * * * * * * * * * * 4 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ---------------+--------+--------------------+-----------------------------+------------------------+---------- o..3x..3o.. ♦ 6 0 0 | 12 0 0 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * | 1 0 0 1 0 oo.3xx. ...&#x ♦ 3 3 0 | 3 3 0 3 0 0 0 | 1 0 3 0 0 0 1 0 0 0 0 0 | * 4 * * * * * * * * * | 1 1 0 0 0 ... xx.3oo.&#x ♦ 3 3 0 | 3 3 0 3 0 0 0 | 0 1 3 0 0 0 0 1 0 0 0 0 | * * 4 * * * * * * * * | 1 0 1 0 0 ... xxx ...&#x ♦ 2 2 2 | 1 2 2 1 2 1 0 | 0 0 1 2 1 0 0 0 1 0 0 0 | * * * 12 * * * * * * * | 0 1 1 0 0 ... ... oox&#x ♦ 1 1 2 | 0 1 2 0 2 0 1 | 0 0 0 2 0 1 0 0 0 1 0 0 | * * * * 6 * * * * * * | 0 0 2 0 0 o.o3x.x ...&#x ♦ 3 0 3 | 3 0 3 0 0 3 0 | 1 0 0 0 3 0 0 0 0 0 1 0 | * * * * * 4 * * * * * | 0 1 0 1 0 ... x.x3o.x&#x ♦ 3 0 6 | 3 0 6 0 0 3 3 | 0 1 0 0 3 3 0 0 0 0 0 1 | * * * * * * 4 * * * * | 0 0 1 1 0 .o.3.x.3.o. ♦ 0 6 0 | 0 0 0 12 0 0 0 | 0 0 0 0 0 0 4 4 0 0 0 0 | * * * * * * * 1 * * * | 1 0 0 0 1 .oo3.xx ...&#x ♦ 0 3 3 | 0 0 0 3 3 3 0 | 0 0 0 0 0 0 1 0 3 0 1 0 | * * * * * * * * 4 * * | 0 1 0 0 1 ... .xx3.ox&#x ♦ 0 3 6 | 0 0 0 3 6 3 3 | 0 0 0 0 0 0 0 1 3 3 0 1 | * * * * * * * * * 4 * | 0 0 1 0 1 ..o3..x3..x ♦ 0 0 12 | 0 0 0 0 0 12 6 | 0 0 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * 1 | 0 0 0 1 1 ---------------+--------+--------------------+-----------------------------+------------------------+---------- oo.3xx.3oo.&#x ♦ 6 6 0 | 12 6 0 12 0 0 0 | 4 4 12 0 0 0 4 4 0 0 0 0 | 1 4 4 0 0 0 0 1 0 0 0 | 1 * * * * ooo3xxx ...&#x ♦ 3 3 3 | 3 3 3 3 3 3 0 | 1 0 3 3 3 0 1 0 3 0 1 0 | 0 1 0 3 0 1 0 0 1 0 0 | * 4 * * * ... xxx3oox&#x ♦ 3 3 6 | 3 3 6 3 6 3 3 | 0 1 3 6 3 3 0 1 3 3 0 1 | 0 0 1 3 3 0 1 0 0 1 0 | * * 4 * * o.o3x.x3o.x&#x ♦ 6 0 12 | 12 0 12 0 0 12 6 | 4 4 0 0 12 6 0 0 0 0 4 4 | 1 0 0 0 0 4 4 0 0 0 1 | * * * 1 * .oo3.xx3.ox&#x ♦ 0 6 12 | 0 0 0 12 12 12 6 | 0 0 0 0 0 0 4 4 12 6 4 4 | 0 0 0 0 0 0 0 1 4 4 1 | * * * * 1
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