Acronym pripa (old: pripalprip) Name prip alterprism,prip atop inverted prip,medial segment of card Circumradius sqrt(11)/2 = 1.658312 Lace cityin approx. ASCII-art ```x3o3x x3o3u x3x3x o3x3x -- x3o3x3x (prip) x3x3o x3x3x u3o3x x3o3x -- x3x3o3x (inv prip) ``` Confer uniform relative: card   general polytopal classes: scaliform   segmentotera   lace simplices Externallinks

Incidence matrix according to Dynkin symbol

```xx3ox3xo3xx&#x - height = sqrt(3/5) = 0.774597
(prip || inv prip)

o.3o.3o.3o.    | 60  * |  2  2  1   2  0  0  0 |  1  2  2  1  2  2  1  2  2  0  0  0  0  0 | 1  1  2 1  1  2  2  1  1  2 0  0  0 0 | 1 1  1  2 1 0
.o3.o3.o3.o    |  * 60 |  0  0  0   2  1  2  2 |  0  0  0  0  0  2  2  1  2  2  2  1  2  1 | 0  0  0 0  2  1  2  1  2  1 1  2  1 1 | 0 1  2  1 1 1
---------------+-------+-----------------------+-------------------------------------------+---------------------------------------+--------------
x. .. .. ..    |  2  0 | 60  *  *   *  *  *  * |  1  1  1  0  0  1  0  0  0  0  0  0  0  0 | 1  1  1 0  1  1  1  0  0  0 0  0  0 0 | 1 1  1  1 0 0
.. .. x. ..    |  2  0 |  * 60  *   *  *  *  * |  0  1  0  1  1  0  0  1  0  0  0  0  0  0 | 1  0  1 1  0  1  0  1  0  1 0  0  0 0 | 1 1  0  1 1 0
.. .. .. x.    |  2  0 |  *  * 30   *  *  *  * |  0  0  2  0  2  0  0  0  2  0  0  0  0  0 | 0  1  2 1  0  0  2  0  1  2 0  0  0 0 | 1 0  1  2 1 0
oo3oo3oo3oo&#x |  1  1 |  *  *  * 120  *  *  * |  0  0  0  0  0  1  1  1  1  0  0  0  0  0 | 0  0  0 0  1  1  1  1  1  1 0  0  0 0 | 0 1  1  1 1 0
.x .. .. ..    |  0  2 |  *  *  *   * 30  *  * |  0  0  0  0  0  2  0  0  0  2  2  0  0  0 | 0  0  0 0  2  1  2  0  0  0 1  2  1 0 | 0 1  2  1 0 1
.. .x .. ..    |  0  2 |  *  *  *   *  * 60  * |  0  0  0  0  0  0  1  0  0  1  0  1  1  0 | 0  0  0 0  1  0  0  1  1  0 1  1  0 1 | 0 1  1  0 1 1
.. .. .. .x    |  0  2 |  *  *  *   *  *  * 60 |  0  0  0  0  0  0  0  0  1  0  1  0  1  1 | 0  0  0 0  0  0  1  0  1  1 0  1  1 1 | 0 0  1  1 1 1
---------------+-------+-----------------------+-------------------------------------------+---------------------------------------+--------------
x.3o. .. ..    |  3  0 |  3  0  0   0  0  0  0 | 20  *  *  *  *  *  *  *  *  *  *  *  *  * | 1  1  0 0  1  0  0  0  0  0 0  0  0 0 | 1 1  1  0 0 0
x. .. x. ..    |  4  0 |  2  2  0   0  0  0  0 |  * 30  *  *  *  *  *  *  *  *  *  *  *  * | 1  0  1 0  0  1  0  0  0  0 0  0  0 0 | 1 1  0  1 0 0
x. .. .. x.    |  4  0 |  2  0  2   0  0  0  0 |  *  * 30  *  *  *  *  *  *  *  *  *  *  * | 0  1  1 0  0  0  1  0  0  0 0  0  0 0 | 1 0  1  1 0 0
.. o.3x. ..    |  3  0 |  0  3  0   0  0  0  0 |  *  *  * 20  *  *  *  *  *  *  *  *  *  * | 1  0  0 1  0  0  0  1  0  0 0  0  0 0 | 1 1  0  0 1 0
.. .. x.3x.    |  6  0 |  0  3  3   0  0  0  0 |  *  *  *  * 20  *  *  *  *  *  *  *  *  * | 0  0  1 1  0  0  0  0  0  1 0  0  0 0 | 1 0  0  1 1 0
xx .. .. ..&#x |  2  2 |  1  0  0   2  1  0  0 |  *  *  *  *  * 60  *  *  *  *  *  *  *  * | 0  0  0 0  1  1  1  0  0  0 0  0  0 0 | 0 1  1  1 0 0
.. ox .. ..&#x |  1  2 |  0  0  0   2  0  1  0 |  *  *  *  *  *  * 60  *  *  *  *  *  *  * | 0  0  0 0  1  0  0  1  1  0 0  0  0 0 | 0 1  1  0 1 0
.. .. xo ..&#x |  2  1 |  0  1  0   2  0  0  0 |  *  *  *  *  *  *  * 60  *  *  *  *  *  * | 0  0  0 0  0  1  0  1  0  1 0  0  0 0 | 0 1  0  1 1 0
.. .. .. xx&#x |  2  2 |  0  0  1   2  0  0  1 |  *  *  *  *  *  *  *  * 60  *  *  *  *  * | 0  0  0 0  0  0  1  0  1  1 0  0  0 0 | 0 0  1  1 1 0
.x3.x .. ..    |  0  6 |  0  0  0   0  3  3  0 |  *  *  *  *  *  *  *  *  * 20  *  *  *  * | 0  0  0 0  1  0  0  0  0  0 1  1  0 0 | 0 1  1  0 0 1
.x .. .. .x    |  0  4 |  0  0  0   0  2  0  2 |  *  *  *  *  *  *  *  *  *  * 30  *  *  * | 0  0  0 0  0  0  1  0  0  0 0  1  1 0 | 0 0  1  1 0 1
.. .x3.o ..    |  0  3 |  0  0  0   0  0  3  0 |  *  *  *  *  *  *  *  *  *  *  * 20  *  * | 0  0  0 0  0  0  0  1  0  0 1  0  0 1 | 0 1  0  0 1 1
.. .x .. .x    |  0  4 |  0  0  0   0  0  2  2 |  *  *  *  *  *  *  *  *  *  *  *  * 30  * | 0  0  0 0  0  0  0  0  1  0 0  1  0 1 | 0 0  1  0 1 1
.. .. .o3.x    |  0  3 |  0  0  0   0  0  0  3 |  *  *  *  *  *  *  *  *  *  *  *  *  * 20 | 0  0  0 0  0  0  0  0  0  1 0  0  1 1 | 0 0  0  1 1 1
---------------+-------+-----------------------+-------------------------------------------+---------------------------------------+--------------
x.3o.3x. ..    ♦ 12  0 | 12 12  0   0  0  0  0 |  4  6  0  4  0  0  0  0  0  0  0  0  0  0 | 5  *  * *  *  *  *  *  *  * *  *  * * | 1 1  0  0 0 0
x.3o. .. x.    ♦  6  0 |  6  0  3   0  0  0  0 |  2  0  3  0  0  0  0  0  0  0  0  0  0  0 | * 10  * *  *  *  *  *  *  * *  *  * * | 1 0  1  0 0 0
x. .. x.3x.    ♦ 12  0 |  6  6  6   0  0  0  0 |  0  3  3  0  2  0  0  0  0  0  0  0  0  0 | *  * 10 *  *  *  *  *  *  * *  *  * * | 1 0  0  1 0 0
.. o.3x.3x.    ♦ 12  0 |  0 12  6   0  0  0  0 |  0  0  0  4  4  0  0  0  0  0  0  0  0  0 | *  *  * 5  *  *  *  *  *  * *  *  * * | 1 0  0  0 1 0
xx3ox .. ..&#x ♦  3  6 |  3  0  0   6  3  3  0 |  1  0  0  0  0  3  3  0  0  1  0  0  0  0 | *  *  * * 20  *  *  *  *  * *  *  * * | 0 1  1  0 0 0
xx .. xo ..&#x ♦  4  2 |  2  2  0   4  1  0  0 |  0  1  0  0  0  2  0  2  0  0  0  0  0  0 | *  *  * *  * 30  *  *  *  * *  *  * * | 0 1  0  1 0 0
xx .. .. xx&#x ♦  4  4 |  2  0  2   4  2  0  2 |  0  0  1  0  0  2  0  0  2  0  1  0  0  0 | *  *  * *  *  * 30  *  *  * *  *  * * | 0 0  1  1 0 0
.. ox3xo ..&#x ♦  3  3 |  0  3  0   6  0  3  0 |  0  0  0  1  0  0  3  3  0  0  0  1  0  0 | *  *  * *  *  *  * 20  *  * *  *  * * | 0 1  0  0 1 0
.. ox .. xx&#x ♦  2  4 |  0  0  1   4  0  2  2 |  0  0  0  0  0  0  2  0  2  0  0  0  1  0 | *  *  * *  *  *  *  * 30  * *  *  * * | 0 0  1  0 1 0
.. .. xo3xx&#x ♦  6  3 |  0  3  3   6  0  0  3 |  0  0  0  0  1  0  0  3  3  0  0  0  0  1 | *  *  * *  *  *  *  *  * 20 *  *  * * | 0 0  0  1 1 0
.x3.x3.o ..    ♦  0 12 |  0  0  0   0  6 12  0 |  0  0  0  0  0  0  0  0  0  4  0  4  0  0 | *  *  * *  *  *  *  *  *  * 5  *  * * | 0 1  0  0 0 1
.x3.x .. .x    ♦  0 12 |  0  0  0   0  6  6  6 |  0  0  0  0  0  0  0  0  0  2  3  0  3  0 | *  *  * *  *  *  *  *  *  * * 10  * * | 0 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  0  0  3  0  0  2 | *  *  * *  *  *  *  *  *  * *  * 10 * | 0 0  0  1 0 1
.. .x3.o3.x    ♦  0 12 |  0  0  0   0  0 12 12 |  0  0  0  0  0  0  0  0  0  0  0  4  6  4 | *  *  * *  *  *  *  *  *  * *  *  * 5 | 0 0  0  0 1 1
---------------+-------+-----------------------+-------------------------------------------+---------------------------------------+--------------
x.3o.3x.3x.    ♦ 60  0 | 60 60 30   0  0  0  0 | 20 30 30 20 20  0  0  0  0  0  0  0  0  0 | 5 10 10 5  0  0  0  0  0  0 0  0  0 0 | 1 *  *  * * *
xx3ox3xo ..&#x ♦ 12 12 | 12 12  0  24  6 12  0 |  4  6  0  4  0 12 12 12  0  4  0  4  0  0 | 1  0  0 0  4  6  0  4  0  0 1  0  0 0 | * 5  *  * * *
xx3ox .. xx&#x ♦  6 12 |  6  0  3  12  6  6  6 |  2  0  3  0  0  6  6  0  6  2  3  0  3  0 | 0  1  0 0  2  0  3  0  3  0 0  1  0 0 | * * 10  * * *
xx .. xo3xx&#x ♦ 12  6 |  6  6  6  12  3  0  6 |  0  3  3  0  2  6  0  6  6  0  3  0  0  2 | 0  0  1 0  0  3  3  0  0  2 0  0  1 0 | * *  * 10 * *
.. ox3xo3xx&#x ♦ 12 12 |  0 12  6  24  0 12 12 |  0  0  0  4  4  0 12 12 12  0  0  4  6  4 | 0  0  0 1  0  0  0  4  6  4 0  0  0 1 | * *  *  * 5 *
.x3.x3.o3.x    ♦  0 60 |  0  0  0   0 30 60 60 |  0  0  0  0  0  0  0  0  0 20 30 20 30 20 | 0  0  0 0  0  0  0  0  0  0 5 10 10 5 | * *  *  * * 1
```
```or
o.3o.3o.3o.    & | 120 |   2   2  1   2 |  1  2  2  1  2   4   3 |  1  1  2  1  3  3  2  1 | 1  2  3
-----------------+-----+----------------+------------------------+-------------------------+--------
x. .. .. ..    & |   2 | 120   *  *   * |  1  1  1  0  0   1   0 |  1  1  1  0  1  1  1  0 | 1  1  2
.. .. x. ..    & |   2 |   * 120  *   * |  0  1  0  1  1   0   1 |  1  0  1  1  1  1  0  1 | 1  2  1
.. .. .. x.    & |   2 |   *   * 60   * |  0  0  2  0  2   2   0 |  0  1  2  1  2  1  2  0 | 1  1  3
oo3oo3oo3oo&#x   |   2 |   *   *  * 120 |  0  0  0  0  0   2   2 |  0  0  0  0  2  2  1  1 | 0  2  2
-----------------+-----+----------------+------------------------+-------------------------+--------
x.3o. .. ..    & |   3 |   3   0  0   0 | 40  *  *  *  *   *   * |  1  1  0  0  1  0  0  0 | 1  1  1
x. .. x. ..    & |   4 |   2   2  0   0 |  * 60  *  *  *   *   * |  1  0  1  0  0  1  0  0 | 1  1  1
x. .. .. x.    & |   4 |   2   0  2   0 |  *  * 60  *  *   *   * |  0  1  1  0  0  0  1  0 | 1  0  2
.. o.3x. ..    & |   3 |   0   3  0   0 |  *  *  * 40  *   *   * |  1  0  0  1  0  0  0  1 | 1  2  0
.. .. x.3x.    & |   6 |   0   3  3   0 |  *  *  *  * 40   *   * |  0  0  1  1  1  0  0  0 | 1  1  1
xx .. .. ..&#x & |   4 |   1   0  1   2 |  *  *  *  *  * 120   * |  0  0  0  0  1  1  1  0 | 0  1  2
.. ox .. ..&#x & |   3 |   0   1  0   2 |  *  *  *  *  *   * 120 |  0  0  0  0  1  1  0  1 | 0  2  1
-----------------+-----+----------------+------------------------+-------------------------+--------
x.3o.3x. ..    & ♦  12 |  12  12  0   0 |  4  6  0  4  0   0   0 | 10  *  *  *  *  *  *  * | 1  1  0
x.3o. .. x.    & ♦   6 |   6   0  3   0 |  2  0  3  0  0   0   0 |  * 20  *  *  *  *  *  * | 1  0  1
x. .. x.3x.    & ♦  12 |   6   6  6   0 |  0  3  3  0  2   0   0 |  *  * 20  *  *  *  *  * | 1  0  1
.. o.3x.3x.    & ♦  12 |   0  12  6   0 |  0  0  0  4  4   0   0 |  *  *  * 10  *  *  *  * | 1  1  0
xx3ox .. ..&#x & ♦   9 |   3   3  3   6 |  1  0  0  0  1   3   3 |  *  *  *  * 40  *  *  * | 0  1  1
xx .. xo ..&#x & ♦   6 |   2   2  1   4 |  0  1  0  0  0   2   2 |  *  *  *  *  * 60  *  * | 0  1  1
xx .. .. xx&#x   ♦   8 |   4   0  4   4 |  0  0  2  0  0   4   0 |  *  *  *  *  *  * 30  * | 0  0  2
.. ox3xo ..&#x   ♦   6 |   0   6  0   6 |  0  0  0  2  0   0   6 |  *  *  *  *  *  *  * 20 | 0  2  0
-----------------+-----+----------------+------------------------+-------------------------+--------
x.3o.3x.3x.    & ♦  60 |  60  60 30   0 | 20 30 30 20 20   0   0 |  5 10 10  5  0  0  0  0 | 2  *  *
xx3ox3xo ..&#x & ♦  24 |  12  24  6  24 |  4  6  0  8  4  12  24 |  1  0  0  1  4  6  0  4 | * 10  *
xx3ox .. xx&#x & ♦  18 |  12   6  9  12 |  2  3  6  0  2  12   6 |  0  1  1  0  2  3  3  0 | *  * 20
```