Acronym penarappip Name pen-first cap of birectified heptapeton Circumradius sqrt(6/7) = 0.925820 Lace cityin approx. ASCII-art ```P R where: P = x3o3o3o (pen) R R = o3x3o3o (rap) ``` Confer uniform relative: bril   general polytopal classes: segmentopeta

Incidence matrix according to Dynkin symbol

```ox xo3ox3oo3oo&#x   → height = sqrt(7/20) = 0.591608
(pen || rappip)

o. o.3o.3o.3o.    | 5  * ♦  4  8  0  0 |  6  4  8 12  0  0  0 | 4  4  6 12  8  0  0  0  0 | 1  6  4  8  2 0 0 0 | 4 1 2 0
.o .o3.o3.o3.o    | * 20 |  0  2  1  6 |  0  2  1  6  6  3  6 | 0  1  6  3  6  3  6  3  2 | 0  3  6  3  2 3 2 1 | 3 2 1 1
------------------+------+-------------+----------------------+---------------------------+---------------------+--------
.. x. .. .. ..    | 2  0 | 10  *  *  * |  3  0  2  0  0  0  0 | 3  1  0  6  0  0  0  0  0 | 1  3  0  6  0 0 0 0 | 3 0 2 0
oo oo3oo3oo3oo&#x | 1  1 |  * 40  *  * |  0  1  1  3  0  0  0 | 0  1  3  3  3  0  0  0  0 | 0  3  3  3  1 0 0 0 | 3 1 1 0
.x .. .. .. ..    | 0  2 |  *  * 10  * |  0  2  0  0  6  0  0 | 0  1  6  0  0  1  2  0  0 | 0  3  6  0  0 3 2 0 | 3 2 0 0
.. .. .x .. ..    | 0  2 |  *  *  * 60 |  0  0  0  1  1  1  2 | 0  0  1  1  2  1  2  2  1 | 0  1  2  2  1 2 1 1 | 2 1 1 1
------------------+------+-------------+----------------------+---------------------------+---------------------+--------
.. x.3o. .. ..    | 3  0 |  3  0  0  0 | 10  *  *  *  *  *  * | 2  0  0  2  0  0  0  0  0 | 1  1  0  4  0 0 0 0 | 2 0 2 0
ox .. .. .. ..&#x | 1  2 |  0  2  1  0 |  * 20  *  *  *  *  * | 0  1  3  0  0  0  0  0  0 | 0  3  3  0  0 0 0 0 | 3 1 0 0
.. xo .. .. ..&#x | 2  1 |  1  2  0  0 |  *  * 20  *  *  *  * | 0  1  0  3  0  0  0  0  0 | 0  3  0  3  0 0 0 0 | 3 0 1 0
.. .. ox .. ..&#x | 1  2 |  0  2  0  1 |  *  *  * 60  *  *  * | 0  0  1  1  2  0  0  0  0 | 0  1  2  2  1 0 0 0 | 2 1 1 0
.x .. .x .. ..    | 0  4 |  0  0  2  2 |  *  *  *  * 30  *  * | 0  0  1  0  0  1  2  0  0 | 0  1  2  0  0 2 1 0 | 2 1 0 1
.. .o3.x .. ..    | 0  3 |  0  0  0  3 |  *  *  *  *  * 20  * | 0  0  0  1  0  1  0  2  0 | 0  1  0  2  0 2 0 1 | 2 0 1 1
.. .. .x3.o ..    | 0  3 |  0  0  0  3 |  *  *  *  *  *  * 40 | 0  0  0  0  1  0  1  1  1 | 0  0  1  1  1 1 1 1 | 1 1 1 1
------------------+------+-------------+----------------------+---------------------------+---------------------+--------
.. x.3o.3o. ..    ♦ 4  0 |  6  0  0  0 |  4  0  0  0  0  0  0 | 5  *  *  *  *  *  *  *  * | 1  0  0  2  0 0 0 0 | 1 0 2 0
ox xo .. .. ..&#x ♦ 2  2 |  1  4  1  0 |  0  2  2  0  0  0  0 | * 10  *  *  *  *  *  *  * | 0  3  0  0  0 0 0 0 | 3 0 0 0
ox .. ox .. ..&#x ♦ 1  4 |  0  4  2  2 |  0  2  0  2  1  0  0 | *  * 30  *  *  *  *  *  * | 0  1  2  0  0 0 0 0 | 2 1 0 0
.. xo3ox .. ..&#x ♦ 3  3 |  3  6  0  3 |  1  0  3  3  0  1  0 | *  *  * 20  *  *  *  *  * | 0  1  0  2  0 0 0 0 | 2 0 1 0
.. .. ox3oo ..&#x ♦ 1  3 |  0  3  0  3 |  0  0  0  3  0  0  1 | *  *  *  * 40  *  *  *  * | 0  0  1  1  1 0 0 0 | 1 1 1 0
.x .o3.x .. ..    ♦ 0  6 |  0  0  3  6 |  0  0  0  0  3  2  0 | *  *  *  *  * 10  *  *  * | 0  1  0  0  0 2 0 0 | 2 0 0 1
.x .. .x3.o ..    ♦ 0  6 |  0  0  3  6 |  0  0  0  0  3  0  2 | *  *  *  *  *  * 20  *  * | 0  0  1  0  0 1 1 0 | 1 1 0 1
.. .o3.x3.o ..    ♦ 0  6 |  0  0  0 12 |  0  0  0  0  0  4  4 | *  *  *  *  *  *  * 10  * | 0  0  0  1  0 1 0 1 | 1 0 1 1
.. .. .x3.o3.o    ♦ 0  4 |  0  0  0  6 |  0  0  0  0  0  0  4 | *  *  *  *  *  *  *  * 10 | 0  0  0  0  1 0 1 1 | 0 1 1 1
------------------+------+-------------+----------------------+---------------------------+---------------------+--------
.. x.3o.3o.3o.    ♦ 5  0 | 10  0  0  0 | 10  0  0  0  0  0  0 | 5  0  0  0  0  0  0  0  0 | 1  *  *  *  * * * * | 0 0 2 0
ox xo3ox .. ..&#x ♦ 3  6 |  3 12  3  6 |  1  6  6  6  3  2  0 | 0  3  3  2  0  1  0  0  0 | * 10  *  *  * * * * | 2 0 0 0
ox .. ox3oo ..&#x ♦ 1  6 |  0  6  3  6 |  0  3  0  6  3  0  2 | 0  0  3  0  2  0  1  0  0 | *  * 20  *  * * * * | 1 1 0 0
.. xo3ox3oo ..&#x ♦ 4  6 |  6 12  0 12 |  4  0  6 12  0  4  4 | 1  0  0  4  4  0  0  1  0 | *  *  * 10  * * * * | 1 0 1 0
.. .. ox3oo3oo&#x ♦ 1  4 |  0  4  0  6 |  0  0  0  6  0  0  4 | 0  0  0  0  4  0  0  0  1 | *  *  *  * 10 * * * | 0 1 1 0
.x .o3.x3.o ..    ♦ 0 12 |  0  0  6 24 |  0  0  0  0 12  8  8 | 0  0  0  0  0  4  4  2  0 | *  *  *  *  * 5 * * | 1 0 0 1
.x .. .x3.o3.o    ♦ 0  8 |  0  0  4 12 |  0  0  0  0  6  0  8 | 0  0  0  0  0  0  4  0  2 | *  *  *  *  * * 5 * | 0 1 0 1
.. .o3.x3.o3.o    ♦ 0 10 |  0  0  0 30 |  0  0  0  0  0 10 20 | 0  0  0  0  0  0  0  5  5 | *  *  *  *  * * * 2 | 0 0 1 1
------------------+------+-------------+----------------------+---------------------------+---------------------+--------
ox xo3ox3oo ..&#x ♦ 4 12 |  6 24  6 24 |  4 12 12 24 12  8  8 | 1  6 12  8  8  4  4  2  0 | 0  4  4  2  0 1 0 0 | 5 * * *
ox .. ox3oo3oo&#x ♦ 1  8 |  0  8  4 12 |  0  4  0 12  6  0  8 | 0  0  6  0  8  0  4  0  2 | 0  0  4  0  2 0 1 0 | * 5 * *
.. xo3ox3oo3oo&#x ♦ 5 10 | 10 20  0 30 | 10  0 10 30  0 10 20 | 5  0  0 10 20  0  0  5  5 | 1  0  0  5  5 0 0 1 | * * 2 *
.x .o3.x3.o3.o    ♦ 0 20 |  0  0 10 60 |  0  0  0  0 30 20 40 | 0  0  0  0  0 10 20 10 10 | 0  0  0  0  0 5 5 2 | * * * 1
```