Acronym tepaco (alt.: tettet cotric) Name tepe atop co,0.217953-luna of scad,(tet,tet,co)-trigonic Circumradius 1 Lace cityin approx. ASCII-art ```x3o3o x3o3o x3o3x ``` Confer uniform relative: scad   related segmentotera: pexhix   general polytopal classes: segmentotera   lace simplices

The dihedral angle at co between tetaco and tetaco is arccos(1/5) = 78.463041°, which is 0.217953 of the full circle.

Incidence matrix according to Dynkin symbol

```ox xo3oo3xx&#x   → height = sqrt(3/8) = 0.612372
(co || tepe)

o. o.3o.3o.    | 12 * |  2  2  2 0  0 | 1 2 1  1  4  4 0 0 | 1  2  2 2  4 2 0 0 | 1 2 1 2 0
.o .o3.o3.o    |  * 8 |  0  0  3 1  3 | 0 0 0  3  3  6 3 3 | 0  3  6 1  3 3 3 1 | 1 3 3 1 1
---------------+------+---------------+--------------------+--------------------+----------
.. x. .. ..    |  2 0 | 12  *  * *  * | 1 1 0  0  2  0 0 0 | 1  1  0 2  2 0 0 0 | 1 1 0 2 0
.. .. .. x.    |  2 0 |  * 12  * *  * | 0 1 1  0  0  2 0 0 | 1  0  1 0  2 2 0 0 | 0 1 1 2 0
oo oo3oo3oo&#x |  1 1 |  *  * 24 *  * | 0 0 0  1  2  2 0 0 | 0  2  2 1  2 1 0 0 | 1 2 1 1 0
.x .. .. ..    |  0 2 |  *  *  * 4  * | 0 0 0  3  0  0 3 0 | 0  3  6 0  0 0 3 0 | 1 3 3 0 1
.. .. .. .x    |  0 2 |  *  *  * * 12 | 0 0 0  0  0  2 1 2 | 0  0  2 0  1 2 2 1 | 0 1 2 1 1
---------------+------+---------------+--------------------+--------------------+----------
.. x.3o. ..    |  3 0 |  3  0  0 0  0 | 4 * *  *  *  * * * | 1  0  0 2  0 0 0 0 | 1 0 0 2 0
.. x. .. x.    |  4 0 |  2  2  0 0  0 | * 6 *  *  *  * * * | 1  0  0 0  2 0 0 0 | 0 1 0 2 0
.. .. o.3x.    |  3 0 |  0  3  0 0  0 | * * 4  *  *  * * * | 1  0  0 0  0 2 0 0 | 0 0 1 2 0
ox .. .. ..&#x |  1 2 |  0  0  2 1  0 | * * * 12  *  * * * | 0  2  2 0  0 0 0 0 | 1 2 1 0 0
.. xo .. ..&#x |  2 1 |  1  0  2 0  0 | * * *  * 24  * * * | 0  1  0 1  1 0 0 0 | 1 1 0 1 0
.. .. .. xx&#x |  2 2 |  0  1  2 0  1 | * * *  *  * 24 * * | 0  0  1 0  1 1 0 0 | 0 1 1 1 0
.x .. .. .x    |  0 4 |  0  0  0 2  2 | * * *  *  *  * 6 * | 0  0  2 0  0 0 2 0 | 0 1 2 0 1
.. .. .o3.x    |  0 3 |  0  0  0 0  3 | * * *  *  *  * * 8 | 0  0  0 0  0 1 1 1 | 0 0 1 1 1
---------------+------+---------------+--------------------+--------------------+----------
.. x.3o.3x.    ♦ 12 0 | 12 12  0 0  0 | 4 6 4  0  0  0 0 0 | 1  *  * *  * * * * | 0 0 0 2 0
ox xo .. ..&#x ♦  2 2 |  1  0  4 1  0 | 0 0 0  2  2  0 0 0 | * 12  * *  * * * * | 1 1 0 0 0
ox .. .. xx&#x ♦  2 4 |  0  1  4 2  2 | 0 0 0  2  0  2 1 0 | *  * 12 *  * * * * | 0 1 1 0 0
.. xo3oo ..&#x ♦  3 1 |  3  0  3 0  0 | 1 0 0  0  3  0 0 0 | *  *  * 8  * * * * | 1 0 0 1 0
.. xo .. xx&#x ♦  4 2 |  2  2  4 0  1 | 0 1 0  0  2  2 0 0 | *  *  * * 12 * * * | 0 1 0 1 0
.. .. oo3xx&#x ♦  3 3 |  0  3  3 0  3 | 0 0 1  0  0  3 0 1 | *  *  * *  * 8 * * | 0 0 1 1 0
.x .. .o3.x    ♦  0 6 |  0  0  0 3  6 | 0 0 0  0  0  0 3 2 | *  *  * *  * * 4 * | 0 0 1 0 1
.. .o3.o3.x    ♦  0 4 |  0  0  0 0  6 | 0 0 0  0  0  0 0 4 | *  *  * *  * * * 2 | 0 0 0 1 1
---------------+------+---------------+--------------------+--------------------+----------
ox xo3oo ..&#x ♦  3 2 |  3  0  6 1  0 | 1 0 0  3  6  0 0 0 | 0  3  0 2  0 0 0 0 | 4 * * * *
ox xo .. xx&#x ♦  4 4 |  2  2  8 2  2 | 0 1 0  4  4  4 1 0 | 0  2  2 0  2 0 0 0 | * 6 * * *
ox .. oo3xx&#x ♦  3 6 |  0  3  6 3  6 | 0 0 1  3  0  6 3 2 | 0  0  3 0  0 2 1 0 | * * 4 * *
.. xo3oo3xx&#x ♦ 12 4 | 12 12 12 0  6 | 4 6 4  0 12 12 0 4 | 1  0  0 4  6 4 0 1 | * * * 2 *
.x .o3.o3.x    ♦  0 8 |  0  0  0 4 12 | 0 0 0  0  0  0 6 8 | 0  0  0 0  0 0 4 2 | * * * * 1
```

```oox3ooo3xxx&#x   → height(1,2) = 1
height(1,3) = height(2,3) = sqrt(5/8) = 0.790569

o..3o..3o..    | 4 *  * | 3 1  3 0  0  0  0 | 3 3  3  3  6 0  0  0 0 0 0 | 1 3  3  6 1 3 3 0 0 0 0 0 | 1 1 3 3 1 0
.o.3.o.3.o.    | * 4  * | 0 1  0 3  3  0  0 | 0 3  3  0  0 3  3  6 0 0 0 | 0 3  3  6 0 0 0 1 1 3 3 0 | 1 1 3 3 0 1
..o3..o3..o    | * * 12 | 0 0  1 0  1  2  2 | 0 0  1  2  2 0  2  2 1 2 1 | 0 0  2  2 1 2 1 0 1 2 1 1 | 0 1 2 1 1 1
---------------+--------+-------------------+----------------------------+---------------------------+------------
... ... x..    | 2 0  0 | 6 *  * *  *  *  * | 2 1  0  0  2 0  0  0 0 0 0 | 1 2  0  2 0 1 2 0 0 0 0 0 | 1 0 1 2 1 0
oo.3oo.3oo.&#x | 1 1  0 | * 4  * *  *  *  * | 0 3  3  0  0 0  0  0 0 0 0 | 0 3  3  6 0 0 0 0 0 0 0 0 | 1 1 3 3 0 0
o.o3o.o3o.o&#x | 1 0  1 | * * 12 *  *  *  * | 0 0  1  2  2 0  0  0 0 0 0 | 0 0  2  2 1 2 1 0 0 0 0 0 | 0 1 2 1 1 0
... ... .x.    | 0 2  0 | * *  * 6  *  *  * | 0 1  0  0  0 2  0  2 0 0 0 | 0 2  0  2 0 0 0 1 0 1 2 0 | 1 0 1 2 0 1
.oo3.oo3.oo&#x | 0 1  1 | * *  * * 12  *  * | 0 0  1  0  0 0  2  2 0 0 0 | 0 0  2  2 0 0 0 0 1 2 1 0 | 0 1 2 1 0 1
..x ... ...    | 0 0  2 | * *  * *  * 12  * | 0 0  0  1  0 0  1  0 1 1 0 | 0 0  1  0 1 1 0 0 1 1 0 1 | 0 1 1 0 1 1
... ... ..x    | 0 0  2 | * *  * *  *  * 12 | 0 0  0  0  1 0  0  1 0 1 1 | 0 0  0  1 0 1 1 0 0 1 1 1 | 0 0 1 1 1 1
---------------+--------+-------------------+----------------------------+---------------------------+------------
... o..3x..    | 3 0  0 | 3 0  0 0  0  0  0 | 4 *  *  *  * *  *  * * * * | 1 1  0  0 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0
... ... xx.&#x | 2 2  0 | 1 2  0 1  0  0  0 | * 6  *  *  * *  *  * * * * | 0 2  0  2 0 0 0 0 0 0 0 0 | 1 0 1 2 0 0
ooo3ooo3ooo&#x | 1 1  1 | 0 1  1 0  1  0  0 | * * 12  *  * *  *  * * * * | 0 0  2  2 0 0 0 0 0 0 0 0 | 0 1 2 1 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 0 | 0 1 1 0 1 0
... ... x.x&#x | 2 0  2 | 1 0  2 0  0  0  1 | * *  *  * 12 *  *  * * * * | 0 0  0  1 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0
... .o.3.x.    | 0 3  0 | 0 0  0 3  0  0  0 | * *  *  *  * 4  *  * * * * | 0 1  0  0 0 0 0 1 0 0 1 0 | 1 0 0 1 0 1
.ox ... ...&#x | 0 1  2 | 0 0  0 0  2  1  0 | * *  *  *  * * 12  * * * * | 0 0  1  0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
... ... .xx&#x | 0 2  2 | 0 0  0 1  2  0  1 | * *  *  *  * *  * 12 * * * | 0 0  0  1 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1
..x3..o ...    | 0 0  3 | 0 0  0 0  0  3  0 | * *  *  *  * *  *  * 4 * * | 0 0  0  0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1
..x ... ..x    | 0 0  4 | 0 0  0 0  0  2  2 | * *  *  *  * *  *  * * 6 * | 0 0  0  0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1
... ..o3..x    | 0 0  3 | 0 0  0 0  0  0  3 | * *  *  *  * *  *  * * * 4 | 0 0  0  0 0 0 1 0 0 0 1 1 | 0 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 0 | 1 *  *  * * * * * * * * * | 1 0 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 0 | * 4  *  * * * * * * * * * | 1 0 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 0 | * * 12  * * * * * * * * * | 0 1 1 0 0 0
... ... xxx&#x ♦ 2 2  2 | 1 2  2 1  2  0  1 | 0 1  2  0  1 0  0  1 0 0 0 | * *  * 12 * * * * * * * * | 0 0 1 1 0 0
o.x3o.o ...&#x ♦ 1 0  3 | 0 0  3 0  0  3  0 | 0 0  0  3  0 0  0  0 1 0 0 | * *  *  * 4 * * * * * * * | 0 1 0 0 1 0
o.x ... x.x&#x ♦ 2 0  4 | 1 0  4 0  0  2  2 | 0 0  0  2  2 0  0  0 0 1 0 | * *  *  * * 6 * * * * * * | 0 0 1 0 1 0
... o.o3x.x&#x ♦ 3 0  3 | 3 0  3 0  0  0  3 | 1 0  0  0  3 0  0  0 0 0 1 | * *  *  * * * 4 * * * * * | 0 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 0 | * *  *  * * * * 1 * * * * | 1 0 0 0 0 1
.ox3.oo ...&#x ♦ 0 1  3 | 0 0  0 0  3  3  0 | 0 0  0  0  0 0  3  0 1 0 0 | * *  *  * * * * * 4 * * * | 0 1 0 0 0 1
.ox ... .xx&#x ♦ 0 2  4 | 0 0  0 1  4  2  2 | 0 0  0  0  0 0  2  2 0 1 0 | * *  *  * * * * * * 6 * * | 0 0 1 0 0 1
... .oo3.xx&#x ♦ 0 3  3 | 0 0  0 3  3  0  3 | 0 0  0  0  0 1  0  3 0 0 1 | * *  *  * * * * * * * 4 * | 0 0 0 1 0 1
..x3..o3..x    ♦ 0 0 12 | 0 0  0 0  0 12 12 | 0 0  0  0  0 0  0  0 4 6 4 | * *  *  * * * * * * * * 1 | 0 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 0 | 1 4  0  0 0 0 0 1 0 0 0 0 | 1 * * * * *
oox3ooo ...&#x ♦ 1 1  3 | 0 1  3 0  3  3  0 | 0 0  3  3  0 0  3  0 1 0 0 | 0 0  3  0 1 0 0 0 1 0 0 0 | * 4 * * * *
oox ... xxx&#x ♦ 2 2  4 | 1 2  4 1  4  2  2 | 0 1  4  2  2 0  2  2 0 1 0 | 0 0  2  2 0 1 0 0 0 1 0 0 | * * 6 * * *
... ooo3xxx&#x ♦ 3 3  3 | 3 3  3 3  3  0  3 | 1 3  3  0  3 1  0  3 0 0 1 | 0 1  0  3 0 0 1 0 0 0 1 0 | * * * 4 * *
o.x3o.o3x.x&#x ♦ 4 0 12 | 6 0 12 0  0 12 12 | 4 0  0 12 12 0  0  0 4 6 4 | 1 0  0  0 4 6 4 0 0 0 0 1 | * * * * 1 *
.ox3.oo3.xx&#x ♦ 0 4 12 | 0 0  0 6 12 12 12 | 0 0  0  0  0 4 12 12 4 6 4 | 0 0  0  0 0 0 0 1 4 6 4 1 | * * * * * 1
```

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