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

Clearly the teddies and the pips can be augmented by according pyramids each. Interestingly that outcome then not only remains CRF, but the pairs of thus adjoined peppies become corealmic and would unify into pedpies instead.

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