The existance of a circumradius shows that this CRF polychoron even is orbiform.

Incidence matrix according to Dynkin symbol

ofx3xoo3xxx&#xt   → height(1,2) = sqrt[3+sqrt(5)]/4 = 0.572061
                    height(2,3) = sqrt[7+3 sqrt(5)]/4 = 0.925615
(tut || pseudo (f,x)-co || co)

o..3o..3o..     | 12  *  * |  2 1  2  0  0  0  0 | 1 2  1  2  2 0  0 0 0 0 | 1 1 1 2 0 0
.o.3.o.3.o.     |  * 12  * |  0 0  2  2  1  0  0 | 0 0  2  1  2 1  2 0 0 0 | 0 1 2 1 1 0
..o3..o3..o     |  *  * 12 |  0 0  0  0  1  2  2 | 0 0  2  0  0 0  2 1 2 1 | 0 1 2 0 1 1
----------------+----------+---------------------+-------------------------+------------
... x.. ...     |  2  0  0 | 12 *  *  *  *  *  * | 1 1  0  1  0 0  0 0 0 0 | 1 1 0 1 0 0
... ... x..     |  2  0  0 |  * 6  *  *  *  *  * | 0 2  0  0  2 0  0 0 0 0 | 1 0 1 2 0 0
oo.3oo.3oo.&#x  |  1  1  0 |  * * 24  *  *  *  * | 0 0  1  1  1 0  0 0 0 0 | 0 1 1 1 0 0
... ... .x.     |  0  2  0 |  * *  * 12  *  *  * | 0 0  0  0  1 1  1 0 0 0 | 0 0 1 1 1 0
.oo3.oo3.oo&#x  |  0  1  1 |  * *  *  * 12  *  * | 0 0  2  0  0 0  2 0 0 0 | 0 1 2 0 1 0
..x ... ...     |  0  0  2 |  * *  *  *  * 12  * | 0 0  1  0  0 0  0 1 1 0 | 0 1 1 0 0 1
... ... ..x     |  0  0  2 |  * *  *  *  *  * 12 | 0 0  0  0  0 0  1 0 1 1 | 0 0 1 0 1 1
----------------+----------+---------------------+-------------------------+------------
o..3x.. ...     |  3  0  0 |  3 0  0  0  0  0  0 | 4 *  *  *  * *  * * * * | 1 1 0 0 0 0
... x..3x..     |  6  0  0 |  3 3  0  0  0  0  0 | * 4  *  *  * *  * * * * | 1 0 0 1 0 0
ofx ... ...&#xt |  1  2  2 |  0 0  2  0  2  1  0 | * * 12  *  * *  * * * * | 0 1 1 0 0 0
... xo. ...&#x  |  2  1  0 |  1 0  2  0  0  0  0 | * *  * 12  * *  * * * * | 0 1 0 1 0 0
... ... xx.&#x  |  2  2  0 |  0 1  2  1  0  0  0 | * *  *  * 12 *  * * * * | 0 0 1 1 0 0
... .o.3.x.     |  0  3  0 |  0 0  0  3  0  0  0 | * *  *  *  * 4  * * * * | 0 0 0 1 1 0
... ... .xx&#x  |  0  2  2 |  0 0  0  1  2  0  1 | * *  *  *  * * 12 * * * | 0 0 1 0 1 0
..x3..o ...     |  0  0  3 |  0 0  0  0  0  3  0 | * *  *  *  * *  * 4 * * | 0 1 0 0 0 1
..x ... ..x     |  0  0  4 |  0 0  0  0  0  2  2 | * *  *  *  * *  * * 6 * | 0 0 1 0 0 1
... ..o3..x     |  0  0  3 |  0 0  0  0  0  0  3 | * *  *  *  * *  * * * 4 | 0 0 0 0 1 1
----------------+----------+---------------------+-------------------------+------------
o..3x..3x..     ♦ 12  0  0 | 12 6  0  0  0  0  0 | 4 4  0  0  0 0  0 0 0 0 | 1 * * * * *
ofx3xoo ...&#xt ♦  3  3  3 |  3 0  6  0  3  3  0 | 1 0  3  3  0 0  0 1 0 0 | * 4 * * * *
ofx ... xxx&#xt ♦  2  4  4 |  0 1  4  2  4  2  2 | 0 0  2  0  2 0  2 0 1 0 | * * 6 * * *
... xo.3xx.&#x  ♦  6  3  0 |  3 3  6  3  0  0  0 | 0 1  0  3  3 1  0 0 0 0 | * * * 4 * *
... .oo3.xx&#x  ♦  0  3  3 |  0 0  0  3  3  0  3 | 0 0  0  0  0 1  3 0 0 1 | * * * * 4 *
..x3..o3..x     ♦  0  0 12 |  0 0  0  0  0 12 12 | 0 0  0  0  0 0  0 4 6 4 | * * * * * 1