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
Confer
uniform relative:
siphin  
general polytopal classes:
segmentotera   lace simplices  

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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