Acronym | tepatut (alt.: tettet tuttric) |
Name |
tepe atop tut, tepe-first wedge of siphin, (tet,tet,tut)-trigonic |
Circumradius | sqrt(13/8) = 1.274755 |
Lace city in approx. ASCII-art |
x3o3o x3o3o x3x3o |
Face vector | 20, 58, 70, 41, 11 |
Confer |
|
Incidence matrix according to Dynkin symbol
ox oo3xo3xx&#x → height = 1/2
(tut || tepe)
o. o.3o.3o. | 12 * | 2 1 2 0 0 | 1 2 1 4 2 0 0 | 1 2 1 2 4 0 0 | 1 2 2 0
.o .o3.o3.o | * 8 | 0 0 3 1 3 | 0 0 3 3 3 3 3 | 0 3 3 1 3 3 1 | 1 3 1 1
---------------+------+--------------+------------------+----------------+--------
.. .. x. .. | 2 0 | 12 * * * * | 1 1 0 2 0 0 0 | 1 1 0 2 2 0 0 | 1 1 2 0
.. .. .. x. | 2 0 | * 6 * * * | 0 2 0 0 2 0 0 | 1 0 1 0 4 0 0 | 0 2 2 0
oo oo3oo3oo&#x | 1 1 | * * 24 * * | 0 0 1 2 1 0 0 | 0 2 1 1 2 0 0 | 1 2 1 0
.x .. .. .. | 0 2 | * * * 4 * | 0 0 3 0 0 3 0 | 0 3 3 0 0 3 0 | 1 3 0 1
.. .. .. .x | 0 2 | * * * * 12 | 0 0 0 0 1 1 2 | 0 0 1 0 2 2 1 | 0 2 1 1
---------------+------+--------------+------------------+----------------+--------
.. o.3x. .. | 3 0 | 3 0 0 0 0 | 4 * * * * * * | 1 0 0 2 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 1 2 0
ox .. .. ..&#x | 1 2 | 0 0 2 1 0 | * * 12 * * * * | 0 2 1 0 0 0 0 | 1 2 0 0
.. .. xo ..&#x | 2 1 | 1 0 2 0 0 | * * * 24 * * * | 0 1 0 1 1 0 0 | 1 1 1 0
.. .. .. xx&#x | 2 2 | 0 1 2 0 1 | * * * * 12 * * | 0 0 1 0 2 0 0 | 0 2 1 0
.x .. .. .x | 0 4 | 0 0 0 2 2 | * * * * * 6 * | 0 0 1 0 0 2 0 | 0 2 0 1
.. .. .o3.x | 0 3 | 0 0 0 0 3 | * * * * * * 8 | 0 0 0 0 1 1 1 | 0 1 1 1
---------------+------+--------------+------------------+----------------+--------
.. o.3x.3x. ♦ 12 0 | 12 6 0 0 0 | 4 4 0 0 0 0 0 | 1 * * * * * * | 0 0 2 0
ox .. xo ..&#x ♦ 2 2 | 1 0 4 1 0 | 0 0 2 2 0 0 0 | * 12 * * * * * | 1 1 0 0
ox .. .. xx&#x ♦ 2 4 | 0 1 4 2 2 | 0 0 2 0 2 1 0 | * * 6 * * * * | 0 2 0 0
.. oo3xo ..&#x ♦ 3 1 | 3 0 3 0 0 | 1 0 0 3 0 0 0 | * * * 8 * * * | 1 0 1 0
.. .. xo3xx&#x ♦ 6 3 | 3 3 6 0 3 | 0 1 0 3 3 0 1 | * * * * 8 * * | 0 1 1 0
.x .. .o3.x ♦ 0 6 | 0 0 0 3 6 | 0 0 0 0 0 3 2 | * * * * * 4 * | 0 1 0 1
.. .o3.o3.x ♦ 0 4 | 0 0 0 0 6 | 0 0 0 0 0 0 4 | * * * * * * 2 | 0 0 1 1
---------------+------+--------------+------------------+----------------+--------
ox oo3xo ..&#x ♦ 3 2 | 3 0 6 1 0 | 1 0 3 6 0 0 0 | 0 3 0 2 0 0 0 | 4 * * *
ox .. xo3xx&#x ♦ 6 6 | 3 3 12 3 6 | 0 1 6 6 6 3 2 | 0 3 3 0 2 1 0 | * 4 * *
.. oo3xo3xx&#x ♦ 12 4 | 12 6 12 0 6 | 4 4 0 12 6 0 4 | 1 0 0 4 4 0 1 | * * 2 *
.x .o3.o3.x ♦ 0 8 | 0 0 0 4 12 | 0 0 0 0 0 6 8 | 0 0 0 0 0 4 2 | * * * 1
ooo3oox3xxx&#x → height(1,2) = 1 height(1,3) = height(2,3) = 1/sqrt(2) = 0.707107 height(12,3) = 1/2 o..3o..3o.. | 4 * * | 3 1 3 0 0 0 0 | 3 3 3 3 3 0 0 0 0 0 | 1 3 3 3 1 3 0 0 0 0 | 1 1 3 1 0 .o.3.o.3.o. | * 4 * | 0 1 0 3 3 0 0 | 0 3 3 0 0 3 3 3 0 0 | 0 3 3 3 0 0 1 1 3 0 | 1 1 3 0 1 ..o3..o3..o | * * 12 | 0 0 1 0 1 2 1 | 0 0 1 2 1 0 2 1 1 2 | 0 0 2 1 1 2 0 1 2 1 | 0 1 2 1 1 ---------------+--------+------------------+------------------------+----------------------+---------- ... ... x.. | 2 0 0 | 6 * * * * * * | 2 1 0 0 1 0 0 0 0 0 | 1 2 0 1 0 0 0 0 0 0 | 1 0 2 1 0 oo.3oo.3oo.&#x | 1 1 0 | * 4 * * * * * | 0 3 3 0 0 0 0 0 0 0 | 0 3 3 3 0 0 0 0 0 0 | 1 1 3 0 0 o.o3o.o3o.o&#x | 1 0 1 | * * 12 * * * * | 0 0 1 2 1 0 0 0 0 0 | 0 0 2 1 1 2 0 0 0 0 | 0 1 2 1 0 ... ... .x. | 0 2 0 | * * * 6 * * * | 0 1 0 0 0 2 0 1 0 0 | 0 2 0 1 0 0 1 0 2 0 | 1 0 2 0 1 .oo3.oo3.oo&#x | 0 1 1 | * * * * 12 * * | 0 0 1 0 0 0 2 1 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 1 0 0 1 0 1 1 | 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ... ... ..x | 0 0 2 | * * * * * * 6 | 0 0 0 0 1 0 0 1 0 2 | 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 | 1 0 1 1 0 ... ... xx.&#x | 2 2 0 | 1 2 0 1 0 0 0 | * 6 * * * * * * * * | 0 2 0 1 0 0 0 0 0 0 | 1 0 2 0 0 ooo3ooo3ooo&#x | 1 1 1 | 0 1 1 0 1 0 0 | * * 12 * * * * * * * | 0 0 2 1 0 0 0 0 0 0 | 0 1 2 0 0 ... o.x ...&#x | 1 0 2 | 0 0 2 0 0 1 0 | * * * 12 * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 ... ... x.x&#x | 2 0 2 | 1 0 2 0 0 0 1 | * * * * 6 * * * * * | 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 1 0 1 0 | 1 0 1 0 1 ... .ox ...&#x | 0 1 2 | 0 0 0 0 2 1 0 | * * * * * * 12 * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 ... ... .xx&#x | 0 2 2 | 0 0 0 1 2 0 1 | * * * * * * * 6 * * | 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 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 1 0 0 1 1 | 0 0 1 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 * * * * * * * * * | 1 0 0 1 0 ... oo.3xx.&#x ♦ 3 3 0 | 3 3 0 3 0 0 0 | 1 3 0 0 0 1 0 0 0 0 | * 4 * * * * * * * * | 1 0 1 0 0 ... oox ...&#x ♦ 1 1 2 | 0 1 2 0 2 1 0 | 0 0 2 1 0 0 1 0 0 0 | * * 12 * * * * * * * | 0 1 1 0 0 ... ... xxx&#x ♦ 2 2 2 | 1 2 2 1 2 0 1 | 0 1 2 0 1 0 0 1 0 0 | * * * 6 * * * * * * | 0 0 2 0 0 o.o3o.x ...&#x ♦ 1 0 3 | 0 0 3 0 0 3 0 | 0 0 0 3 0 0 0 0 1 0 | * * * * 4 * * * * * | 0 1 0 1 0 ... o.x3x.x&#x ♦ 3 0 6 | 3 0 6 0 0 3 3 | 1 0 0 3 3 0 0 0 0 1 | * * * * * 4 * * * * | 0 0 1 1 0 .o.3.o.3.x. ♦ 0 4 0 | 0 0 0 6 0 0 0 | 0 0 0 0 0 4 0 0 0 0 | * * * * * * 1 * * * | 1 0 0 0 1 .oo3.ox ...&#x ♦ 0 1 3 | 0 0 0 0 3 3 0 | 0 0 0 0 0 0 3 0 1 0 | * * * * * * * 4 * * | 0 1 0 0 1 ... .ox3.xx&#x ♦ 0 3 6 | 0 0 0 3 6 3 3 | 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 4 4 | * * * * * * * * * 1 | 0 0 0 1 1 ---------------+--------+------------------+------------------------+----------------------+---------- oo.3oo.3xx.&#x ♦ 4 4 0 | 6 4 0 6 0 0 0 | 4 6 0 0 0 4 0 0 0 0 | 1 4 0 0 0 0 1 0 0 0 | 1 * * * * ooo3oox ...&#x ♦ 1 1 3 | 0 1 3 0 3 3 0 | 0 0 3 3 0 0 3 0 1 0 | 0 0 3 0 1 0 0 1 0 0 | * 4 * * * ... oox3xxx&#x ♦ 3 3 6 | 3 3 6 3 6 3 3 | 1 3 6 3 3 1 3 3 0 1 | 0 1 3 3 0 1 0 0 1 0 | * * 4 * * o.o3o.x3x.x&#x ♦ 4 0 12 | 6 0 12 0 0 12 6 | 4 0 0 12 6 0 0 0 4 4 | 1 0 0 0 4 4 0 0 0 1 | * * * 1 * .oo3.ox3.xx&#x ♦ 0 4 12 | 0 0 0 6 12 12 6 | 0 0 0 0 0 4 12 6 4 4 | 0 0 0 0 0 0 1 4 4 1 | * * * * 1
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