Acronym penu
Name pentachoral-based ursateron ofx3xoo3ooo3ooo&#xt,
pen-based ursulate
Circumradius sqrt[2+sqrt(5)]/2 = 1.029086
Confer
general polytopal classes:
ursatopes  

Incidence matrix according to Dynkin symbol

ofx3xoo3ooo3ooo&#xt   → height(1,2) = sqrt[(1+sqrt(5))/10] = 0.568864
                        height(2,3) = sqrt[(2+sqrt(5))/5] = 0.920442
(rap || pseudo f-pen || pen)

o..3o..3o..3o..     | 10 * * |  6  2 0  0 |  3  6  1  6  0 | 3 2  3  6 0 | 1 3 2 0
.o.3.o.3.o.3.o.     |  * 5 * |  0  4 1  0 |  0  0  4  6  0 | 0 0  6  4 0 | 0 4 1 0
..o3..o3..o3..o     |  * * 5 |  0  0 1  4 |  0  0  4  0  6 | 0 0  6  0 4 | 0 4 0 1
--------------------+--------+------------+----------------+-------------+--------
... x.. ... ...     |  2 0 0 | 30  * *  * |  1  2  0  1  0 | 2 1  1  2 0 | 1 2 1 0
oo.3oo.3oo.3oo.&#x  |  1 1 0 |  * 20 *  * |  0  0  1  3  0 | 0 0  3  3 0 | 0 3 1 0
.oo3.oo3.oo3.oo&#x  |  0 1 1 |  *  * 5  *   0  0  4  0  0 | 0 0  6  0 0 | 0 4 0 0
..x ... ... ...     |  0 0 2 |  *  * * 10 |  0  0  1  0  3 | 0 0  3  0 3 | 0 3 0 1
--------------------+--------+------------+----------------+-------------+--------
o..3x.. ... ...     |  3 0 0 |  3  0 0  0 | 10  *  *  *  * | 2 0  1  0 0 | 1 2 0 0
... x..3o.. ...     |  3 0 0 |  3  0 0  0 |  * 20  *  *  * | 1 1  0  1 0 | 1 1 1 0
ofx ... ... ...&#xt |  1 2 2 |  0  2 2  1 |  *  * 10  *  * | 0 0  3  0 0 | 0 3 0 0
... xo. ... ...&#x  |  2 1 0 |  1  2 0  0 |  *  *  * 30  * | 0 0  1  2 0 | 0 2 1 0
..x3..o ... ...     |  0 0 3 |  0  0 0  3 |  *  *  *  * 10 | 0 0  1  0 2 | 0 2 0 1
--------------------+--------+------------+----------------+-------------+--------
o..3x..3o.. ...       6 0 0 | 12  0 0  0 |  4  4  0  0  0 | 5 *  *  * * | 1 1 0 0
... x..3o..3o..       4 0 0 |  6  0 0  0 |  0  4  0  0  0 | * 5  *  * * | 1 0 1 0
ofx3xoo ... ...&#xt   3 3 3 |  3  6 3  3 |  1  0  3  3  1 | * * 10  * * | 0 2 0 0
... xo.3oo. ...&#x    3 1 0 |  3  3 0  0 |  0  1  0  3  0 | * *  * 20 * | 0 1 1 0
..x3..o3..o ...       0 0 4 |  0  0 0  6 |  0  0  0  0  4 | * *  *  * 5 | 0 1 0 1
--------------------+--------+------------+----------------+-------------+--------
o..3x..3o..3o..      10 0 0 | 30  0 0  0 | 10 20  0  0  0 | 5 5  0  0 0 | 1 * * *
ofx3xoo3ooo ...&#xt   6 4 4 | 12 12 4  6 |  4  4  6 12  4 | 1 0  4  4 1 | * 5 * *
... xo.3oo.3oo.&#x    4 1 0 |  6  4 0  0 |  0  4  0  6  0 | 0 1  0  4 0 | * * 5 *
..x3..o3..o3..o       0 0 5 |  0  0 0 10 |  0  0  0  0 10 | 0 0  0  0 5 | * * * 1

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