Acronym tricufip Name tricuf prism Circumradius sqrt(5)/2 = 1.118034 Lace cityin approx. ASCII-art ``` x3x x x3o x x3o x ``` Confer general polytopal classes: segmentotera   lace simplices

Incidence matrix according to Dynkin symbol

```ox xx xo3xx&#x   → height = sqrt(5/12) = 0.645497
(hip || tisdip)

o. o. o.3o.    | 12  * | 1 1 1  2 0 0  0 | 1 1 1  1  2  2  2 0 0 0 0 | 1 1 1 1 2 2 2 0 0 0 | 1 1 1 2 0
.o .o .o3.o    |  * 12 | 0 0 0  2 1 1  2 | 0 0 0  2  2  1  2 1 2 2 1 | 0 2 1 2 1 2 1 2 1 1 | 1 2 1 1 1
---------------+-------+-----------------+---------------------------+---------------------+----------
.. x. .. ..    |  2  0 | 6 * *  * * *  * | 1 1 0  0  2  0  0 0 0 0 0 | 1 1 0 0 2 2 0 0 0 0 | 1 1 0 2 0
.. .. x. ..    |  2  0 | * 6 *  * * *  * | 1 0 1  0  0  2  0 0 0 0 0 | 1 0 1 0 2 0 2 0 0 0 | 1 0 1 2 0
.. .. .. x.    |  2  0 | * * 6  * * *  * | 0 1 1  0  0  0  2 0 0 0 0 | 1 0 0 1 0 2 2 0 0 0 | 0 1 1 2 0
oo oo oo3oo&#x |  1  1 | * * * 24 * *  * | 0 0 0  1  1  1  1 0 0 0 0 | 0 1 1 1 1 1 1 0 0 0 | 1 1 1 1 0
.x .. .. ..    |  0  2 | * * *  * 6 *  * | 0 0 0  2  0  0  0 1 2 0 0 | 0 2 1 2 0 0 0 2 1 0 | 1 2 1 0 1
.. .x .. ..    |  0  2 | * * *  * * 6  * | 0 0 0  0  2  0  0 1 0 2 0 | 0 2 0 0 1 2 0 2 0 1 | 1 2 0 1 1
.. .. .. .x    |  0  2 | * * *  * * * 12 | 0 0 0  0  0  0  1 0 1 1 1 | 0 0 0 1 0 1 1 1 1 1 | 0 1 1 1 1
---------------+-------+-----------------+---------------------------+---------------------+----------
.. x. x. ..    |  4  0 | 2 2 0  0 0 0  0 | 3 * *  *  *  *  * * * * * | 1 0 0 0 2 0 0 0 0 0 | 1 0 0 2 0
.. x. .. x.    |  4  0 | 2 0 2  0 0 0  0 | * 3 *  *  *  *  * * * * * | 1 0 0 0 0 2 0 0 0 0 | 0 1 0 2 0
.. .. x.3x.    |  6  0 | 0 3 3  0 0 0  0 | * * 2  *  *  *  * * * * * | 1 0 0 0 0 0 2 0 0 0 | 0 0 1 2 0
ox .. .. ..&#x |  1  2 | 0 0 0  2 1 0  0 | * * * 12  *  *  * * * * * | 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0
.. xx .. ..&#x |  2  2 | 1 0 0  2 0 1  0 | * * *  * 12  *  * * * * * | 0 1 0 0 1 1 0 0 0 0 | 1 1 0 1 0
.. .. xo ..&#x |  2  1 | 0 1 0  2 0 0  0 | * * *  *  * 12  * * * * * | 0 0 1 0 1 0 1 0 0 0 | 1 0 1 1 0
.. .. .. xx&#x |  2  2 | 0 0 1  2 0 0  1 | * * *  *  *  * 12 * * * * | 0 0 0 1 0 1 1 0 0 0 | 0 1 1 1 0
.x .x .. ..    |  0  4 | 0 0 0  0 2 2  0 | * * *  *  *  *  * 3 * * * | 0 2 0 0 0 0 0 2 0 0 | 1 2 0 0 1
.x .. .. .x    |  0  4 | 0 0 0  0 2 0  2 | * * *  *  *  *  * * 6 * * | 0 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1
.. .x .. .x    |  0  4 | 0 0 0  0 0 2  2 | * * *  *  *  *  * * * 6 * | 0 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1
.. .. .o3.x    |  0  3 | 0 0 0  0 0 0  3 | * * *  *  *  *  * * * * 4 | 0 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1
---------------+-------+-----------------+---------------------------+---------------------+----------
.. x. x.3x.    ♦ 12  0 | 6 6 6  0 0 0  0 | 3 3 2  0  0  0  0 0 0 0 0 | 1 * * * * * * * * * | 0 0 0 2 0
ox xx .. ..&#x ♦  2  4 | 1 0 0  4 2 2  0 | 0 0 0  2  2  0  0 1 0 0 0 | * 6 * * * * * * * * | 1 1 0 0 0
ox .. xo ..&#x ♦  2  2 | 0 1 0  4 1 0  0 | 0 0 0  2  0  2  0 0 0 0 0 | * * 6 * * * * * * * | 1 0 1 0 0
ox .. .. xx&#x ♦  2  4 | 0 0 1  4 2 0  2 | 0 0 0  2  0  0  2 0 1 0 0 | * * * 6 * * * * * * | 0 1 1 0 0
.. xx xo ..&#x ♦  4  2 | 2 2 0  4 0 1  0 | 1 0 0  0  2  2  0 0 0 0 0 | * * * * 6 * * * * * | 1 0 0 1 0
.. xx .. xx&#x ♦  4  4 | 2 0 2  4 0 2  2 | 0 1 0  0  2  0  2 0 0 1 0 | * * * * * 6 * * * * | 0 1 0 1 0
.. .. xo3xx&#x ♦  6  3 | 0 3 3  6 0 0  3 | 0 0 1  0  0  3  3 0 0 0 1 | * * * * * * 4 * * * | 0 0 1 1 0
.x .x .. .x    ♦  0  8 | 0 0 0  0 4 4  4 | 0 0 0  0  0  0  0 2 2 2 0 | * * * * * * * 3 * * | 0 1 0 0 1
.x .. .o3.x    ♦  0  6 | 0 0 0  0 3 0  6 | 0 0 0  0  0  0  0 0 3 0 2 | * * * * * * * * 2 * | 0 0 1 0 1
.. .x .o3.x    ♦  0  6 | 0 0 0  0 0 3  6 | 0 0 0  0  0  0  0 0 0 3 2 | * * * * * * * * * 2 | 0 0 0 1 1
---------------+-------+-----------------+---------------------------+---------------------+----------
ox xx xo ..&#x ♦  4  4 | 2 2 0  8 2 2  0 | 1 0 0  4  4  4  0 1 0 0 0 | 0 2 2 0 2 0 0 0 0 0 | 3 * * * *
ox xx .. xx&#x ♦  4  8 | 2 0 2  8 4 4  4 | 0 1 0  4  4  0  4 2 2 2 0 | 0 2 0 2 0 2 0 1 0 0 | * 3 * * *
ox .. xo3xx&#x ♦  6  6 | 0 3 3 12 3 0  6 | 0 0 1  6  0  6  6 0 3 0 2 | 0 0 3 3 0 0 2 0 1 0 | * * 2 * *
.. xx xo3xx&#x ♦ 12  6 | 6 6 6 12 0 3  6 | 3 3 2  0  6  6  6 0 0 3 2 | 1 0 0 0 3 3 2 0 0 1 | * * * 2 *
.x .x .o3.x    ♦  0 12 | 0 0 0  0 6 6 12 | 0 0 0  0  0  0  0 3 6 6 4 | 0 0 0 0 0 0 0 3 2 2 | * * * * 1
```

```xxx oox3xxx&#x   → height(1,2) = 1
height(1,3) = height(2,3) = sqrt(2/3) = 0.816497

o.. o..3o..    | 6 *  * | 1 2 1  2 0 0  0 0 0 0 | 2 1 1 2 2 1 2  2 0 0 0 0 0 0 0 0 | 1 2 1 1 2 1 2 1 2 0 0 0 0 0 | 1 1 1 2 1 0
.o. .o.3.o.    | * 6  * | 0 0 1  0 1 2  2 0 0 0 | 0 0 1 2 0 0 0  2 2 1 2 1 2 0 0 0 | 0 2 1 0 0 0 2 1 2 1 1 2 1 0 | 1 0 1 2 1 1
..o ..o3..o    | * * 12 | 0 0 0  1 0 0  1 1 1 1 | 0 0 0 0 1 1 1  1 0 0 1 1 1 1 1 1 | 0 0 0 1 1 1 1 1 1 0 1 1 1 1 | 0 1 1 1 1 1
---------------+--------+-----------------------+----------------------------------+-----------------------------+------------
x.. ... ...    | 2 0  0 | 3 * *  * * *  * * * * | 2 0 1 0 2 0 0  0 0 0 0 0 0 0 0 0 | 1 2 0 1 2 0 2 0 0 0 0 0 0 0 | 1 1 1 2 0 0
... ... x..    | 2 0  0 | * 6 *  * * *  * * * * | 1 1 0 1 0 0 1  0 0 0 0 0 0 0 0 0 | 1 1 1 0 1 1 0 0 1 0 0 0 0 0 | 1 1 0 1 1 0
oo. oo.3oo.&#x | 1 1  0 | * * 6  * * *  * * * * | 0 0 1 2 0 0 0  2 0 0 0 0 0 0 0 0 | 0 2 1 0 0 0 2 1 2 0 0 0 0 0 | 1 0 1 2 1 0
o.o o.o3o.o&#x | 1 0  1 | * * * 12 * *  * * * * | 0 0 0 0 1 1 1  1 0 0 0 0 0 0 0 0 | 0 0 0 1 1 1 1 1 1 0 0 0 0 0 | 0 1 1 1 1 0
.x. ... ...    | 0 2  0 | * * *  * 3 *  * * * * | 0 0 1 0 0 0 0  0 2 0 2 0 0 0 0 0 | 0 2 0 0 0 0 2 0 0 1 1 2 0 0 | 1 0 1 2 0 1
... ... .x.    | 0 2  0 | * * *  * * 6  * * * * | 0 0 0 1 0 0 0  0 1 1 0 0 1 0 0 0 | 0 1 1 0 0 0 0 0 1 1 0 1 1 0 | 1 0 0 1 1 1
.oo .oo3.oo&#x | 0 1  1 | * * *  * * * 12 * * * | 0 0 0 0 0 0 0  1 0 0 1 1 1 0 0 0 | 0 0 0 0 0 0 1 1 1 0 1 1 1 0 | 0 0 1 1 1 1
..x ... ...    | 0 0  2 | * * *  * * *  * 6 * * | 0 0 0 0 1 0 0  0 0 0 1 0 0 1 1 0 | 0 0 0 1 1 0 1 0 0 0 1 1 0 1 | 0 1 1 1 0 1
... ..x ...    | 0 0  2 | * * *  * * *  * * 6 * | 0 0 0 0 0 1 0  0 0 0 0 1 0 1 0 1 | 0 0 0 1 0 1 0 1 0 0 1 0 1 1 | 0 1 1 0 1 1
... ... ..x    | 0 0  2 | * * *  * * *  * * * 6 | 0 0 0 0 0 0 1  0 0 0 0 0 1 0 1 1 | 0 0 0 0 1 1 0 0 1 0 0 1 1 1 | 0 1 0 1 1 1
---------------+--------+-----------------------+----------------------------------+-----------------------------+------------
x.. ... x..    | 4 0  0 | 2 2 0  0 0 0  0 0 0 0 | 3 * * * * * *  * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0
... o..3x..    | 3 0  0 | 0 3 0  0 0 0  0 0 0 0 | * 2 * * * * *  * * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 0 0 0 0 | 1 1 0 0 1 0
xx. ... ...&#x | 2 2  0 | 1 0 2  0 1 0  0 0 0 0 | * * 3 * * * *  * * * * * * * * * | 0 2 0 0 0 0 2 0 0 0 0 0 0 0 | 1 0 1 2 0 0
... ... xx.&#x | 2 2  0 | 0 1 2  0 0 1  0 0 0 0 | * * * 6 * * *  * * * * * * * * * | 0 1 1 0 0 0 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0
x.x ... ...&#x | 2 0  2 | 1 0 0  2 0 0  0 1 0 0 | * * * * 6 * *  * * * * * * * * * | 0 0 0 1 1 0 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0
... o.x ...&#x | 1 0  2 | 0 0 0  2 0 0  0 0 1 0 | * * * * * 6 *  * * * * * * * * * | 0 0 0 1 0 1 0 1 0 0 0 0 0 0 | 0 1 1 0 1 0
... ... x.x&#x | 2 0  2 | 0 1 0  2 0 0  0 0 0 1 | * * * * * * 6  * * * * * * * * * | 0 0 0 0 1 1 0 0 1 0 0 0 0 0 | 0 1 0 1 1 0
ooo ooo3ooo&#x | 1 1  1 | 0 0 1  1 0 0  1 0 0 0 | * * * * * * * 12 * * * * * * * * | 0 0 0 0 0 0 1 1 1 0 0 0 0 0 | 0 0 1 1 1 0
.x. ... .x.    | 0 4  0 | 0 0 0  0 2 2  0 0 0 0 | * * * * * * *  * 3 * * * * * * * | 0 1 0 0 0 0 0 0 0 1 0 1 0 0 | 1 0 0 1 0 1
... .o.3.x.    | 0 3  0 | 0 0 0  0 0 3  0 0 0 0 | * * * * * * *  * * 2 * * * * * * | 0 0 1 0 0 0 0 0 0 1 0 0 1 0 | 1 0 0 0 1 1
.xx ... ...&#x | 0 2  2 | 0 0 0  0 1 0  2 1 0 0 | * * * * * * *  * * * 6 * * * * * | 0 0 0 0 0 0 1 0 0 0 1 1 0 0 | 0 0 1 1 0 1
... .ox ...&#x | 0 1  2 | 0 0 0  0 0 0  2 0 1 0 | * * * * * * *  * * * * 6 * * * * | 0 0 0 0 0 0 0 1 0 0 1 0 1 0 | 0 0 1 0 1 1
... ... .xx&#x | 0 2  2 | 0 0 0  0 0 1  2 0 0 1 | * * * * * * *  * * * * * 6 * * * | 0 0 0 0 0 0 0 0 1 0 0 1 1 0 | 0 0 0 1 1 1
..x ..x ...    | 0 0  4 | 0 0 0  0 0 0  0 2 2 0 | * * * * * * *  * * * * * * 3 * * | 0 0 0 1 0 0 0 0 0 0 1 0 0 1 | 0 1 1 0 0 1
..x ... ..x    | 0 0  4 | 0 0 0  0 0 0  0 2 0 2 | * * * * * * *  * * * * * * * 3 * | 0 0 0 0 1 0 0 0 0 0 0 1 0 1 | 0 1 0 1 0 1
... ..x3..x    | 0 0  6 | 0 0 0  0 0 0  0 0 3 3 | * * * * * * *  * * * * * * * * 2 | 0 0 0 0 0 1 0 0 0 0 0 0 1 1 | 0 1 0 0 1 1
---------------+--------+-----------------------+----------------------------------+-----------------------------+------------
x.. o..3x..    ♦ 6 0  0 | 3 6 0  0 0 0  0 0 0 0 | 3 2 0 0 0 0 0  0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * | 1 1 0 0 0 0
xx. ... xx.&#x ♦ 4 4  0 | 2 2 4  0 2 2  0 0 0 0 | 1 0 2 2 0 0 0  0 1 0 0 0 0 0 0 0 | * 3 * * * * * * * * * * * * | 1 0 0 1 0 0
... oo.3xx.&#x ♦ 3 3  0 | 0 3 3  0 0 3  0 0 0 0 | 0 1 0 3 0 0 0  0 0 1 0 0 0 0 0 0 | * * 2 * * * * * * * * * * * | 1 0 0 0 1 0
x.x o.x ...&#x ♦ 2 0  4 | 1 0 0  4 0 0  0 2 2 0 | 0 0 0 0 2 2 0  0 0 0 0 0 0 1 0 0 | * * * 3 * * * * * * * * * * | 0 1 1 0 0 0
x.x ... x.x&#x ♦ 4 0  4 | 2 2 0  4 0 0  0 2 0 2 | 1 0 0 0 2 0 2  0 0 0 0 0 0 0 1 0 | * * * * 3 * * * * * * * * * | 0 1 0 1 0 0
... o.x3x.x&#x ♦ 3 0  6 | 0 3 0  6 0 0  0 0 3 3 | 0 1 0 0 0 3 3  0 0 0 0 0 0 0 0 1 | * * * * * 2 * * * * * * * * | 0 1 0 0 1 0
xxx ... ...&#x ♦ 2 2  2 | 1 0 2  2 1 0  2 1 0 0 | 0 0 1 0 1 0 0  2 0 0 1 0 0 0 0 0 | * * * * * * 6 * * * * * * * | 0 0 1 1 0 0
... oox ...&#x ♦ 1 1  2 | 0 0 1  2 0 0  2 0 1 0 | 0 0 0 0 0 1 0  2 0 0 0 1 0 0 0 0 | * * * * * * * 6 * * * * * * | 0 0 1 0 1 0
... ... xxx&#x ♦ 2 2  2 | 0 1 2  2 0 1  2 0 0 1 | 0 0 0 1 0 0 1  2 0 0 0 0 1 0 0 0 | * * * * * * * * 6 * * * * * | 0 0 0 1 1 0
.x. .o.3.x.    ♦ 0 6  0 | 0 0 0  0 3 6  0 0 0 0 | 0 0 0 0 0 0 0  0 3 2 0 0 0 0 0 0 | * * * * * * * * * 1 * * * * | 1 0 0 0 0 1
.xx .ox ...&#x ♦ 0 2  4 | 0 0 0  0 1 0  4 2 2 0 | 0 0 0 0 0 0 0  0 0 0 2 2 0 1 0 0 | * * * * * * * * * * 3 * * * | 0 0 1 0 0 1
.xx ... .xx&#x ♦ 0 4  4 | 0 0 0  0 2 2  4 2 0 2 | 0 0 0 0 0 0 0  0 1 0 2 0 2 0 1 0 | * * * * * * * * * * * 3 * * | 0 0 0 1 0 1
... .ox3.xx&#x ♦ 0 3  6 | 0 0 0  0 0 3  6 0 3 3 | 0 0 0 0 0 0 0  0 0 1 0 3 3 0 0 1 | * * * * * * * * * * * * 2 * | 0 0 0 0 1 1
..x ..x3..x    ♦ 0 0 12 | 0 0 0  0 0 0  0 6 6 6 | 0 0 0 0 0 0 0  0 0 0 0 0 0 3 3 2 | * * * * * * * * * * * * * 1 | 0 1 0 0 0 1
---------------+--------+-----------------------+----------------------------------+-----------------------------+------------
xx. oo.3xx.&#x ♦ 6 6  0 | 3 6 6  0 3 6  0 0 0 0 | 3 2 3 6 0 0 0  0 3 2 0 0 0 0 0 0 | 1 3 2 0 0 0 0 0 0 1 0 0 0 0 | 1 * * * * *
x.x o.x3x.x&#x ♦ 6 0 12 | 3 6 0 12 0 0  0 6 6 6 | 3 2 0 0 6 6 6  0 0 0 0 0 0 3 3 2 | 1 0 0 3 3 2 0 0 0 0 0 0 0 1 | * 1 * * * *
xxx oox ...&#x ♦ 2 2  4 | 1 0 2  4 1 0  4 2 2 0 | 0 0 1 0 2 2 0  4 0 0 2 2 0 1 0 0 | 0 0 0 1 0 0 2 2 0 0 1 0 0 0 | * * 3 * * *
xxx ... xxx&#x ♦ 4 4  4 | 2 2 4  4 2 2  4 2 0 2 | 1 0 2 2 2 0 2  4 1 0 2 0 2 0 1 0 | 0 1 0 0 1 0 2 0 2 0 0 1 0 0 | * * * 3 * *
... oox3xxx&#x ♦ 3 3  6 | 0 3 3  6 0 3  6 0 3 3 | 0 1 0 3 0 3 3  6 0 1 0 3 3 0 0 1 | 0 0 1 0 0 1 0 3 3 0 0 0 1 0 | * * * * 2 *
.xx .ox3.xx&#x ♦ 0 6 12 | 0 0 0  0 3 6 12 6 6 6 | 0 0 0 0 0 0 0  0 3 2 6 6 6 3 3 2 | 0 0 0 0 0 0 0 0 0 1 3 3 2 1 | * * * * * 1
```