Acronym ...
Name xoo3ofx5xox&#xt
Circumradius sqrt[5+2 sqrt(5)] = 3.077684
Face vector 150, 390, 304, 64
Confer
uniform relative:
rox  
related segmentochora:
peppia pero  
related CRFs:
xofo3ofox5xoxx&#xt  
general polytopal classes:
bistratic lace tegum  

This CRF polychoron happens to be a (12+60)-diminished version of a tetrastratic deep subsegment of rox, featuring 3 vertex layers thereof only, i.e. ..x.o.o.(..)........3..o.f.x.(..)........5..x.o.x.(..)........&#xt. In fact, it chops off 12 peppia peroes from that tetrastratic segment.

Note that in contrast to the ursachora the teddies get used here in opposite 3D axial orientation when compared to the 4D axial orientation, as derived by ascending circumradii of the base polyhedra.


Incidence matrix according to Dynkin symbol

xoo3ofx5xox&#xt   → height(1,2) = 1/2
                    height(2,3) = (1+sqrt(5))/4 = 0.809017
(srid || pseudo f-id || tid)

o..3o..5o..     | 60  *  * |  2  2   2  0  0  0 |  1  2  1  2  1  2  0  0  0 | 1  1  2  1 0
.o.3.o.5.o.     |  * 30  * |  0  0   4  2  0  0 |  0  0  0  2  4  2  1  0  0 | 0  2  1  2 0
..o3..o5..o     |  *  * 60 |  0  0   0  1  2  1 |  0  0  0  0  2  0  1  1  2 | 0  1  0  2 1
----------------+----------+--------------------+----------------------------+-------------
x.. ... ...     |  2  0  0 | 60  *   *  *  *  * |  1  1  0  1  0  0  0  0  0 | 1  1  1  0 0
... ... x..     |  2  0  0 |  * 60   *  *  *  * |  0  1  1  0  0  1  0  0  0 | 1  0  1  1 0
oo.3oo.5oo.&#x  |  1  1  0 |  *  * 120  *  *  * |  0  0  0  1  1  1  0  0  0 | 0  1  1  1 0
.oo3.oo5.oo&#x  |  0  1  1 |  *  *   * 60  *  * |  0  0  0  0  2  0  1  0  0 | 0  1  0  2 0
... ..x ...     |  0  0  2 |  *  *   *  * 60  * |  0  0  0  0  1  0  0  1  1 | 0  1  0  1 1
... ... ..x     |  0  0  2 |  *  *   *  *  * 30 |  0  0  0  0  0  0  1  0  2 | 0  0  0  2 1
----------------+----------+--------------------+----------------------------+-------------
x..3o.. ...     |  3  0  0 |  3  0   0  0  0  0 | 20  *  *  *  *  *  *  *  * | 1  1  0  0 0
x.. ... x..     |  4  0  0 |  2  2   0  0  0  0 |  * 30  *  *  *  *  *  *  * | 1  0  1  0 0
... o..5x..     |  5  0  0 |  0  5   0  0  0  0 |  *  * 12  *  *  *  *  *  * | 1  0  0  1 0
xo. ... ...&#x  |  2  1  0 |  1  0   2  0  0  0 |  *  *  * 60  *  *  *  *  * | 0  1  1  0 0
... ofx ...&#xt |  1  2  2 |  0  0   2  2  1  0 |  *  *  *  * 60  *  *  *  * | 0  1  0  1 0
... ... xo.&#x  |  2  1  0 |  0  1   2  0  0  0 |  *  *  *  *  * 60  *  *  * | 0  0  1  1 0
... ... .ox&#x  |  0  1  2 |  0  0   0  2  0  1 |  *  *  *  *  *  * 30  *  * | 0  0  0  2 0
..o3..x ...     |  0  0  3 |  0  0   0  0  3  0 |  *  *  *  *  *  *  * 20  * | 0  1  0  0 1
... ..x5..x     |  0  0 10 |  0  0   0  0  5  5 |  *  *  *  *  *  *  *  * 12 | 0  0  0  1 1
----------------+----------+--------------------+----------------------------+-------------
x..3o..5x..      60  0  0 | 60 60   0  0  0  0 | 20 30 12  0  0  0  0  0  0 | 1  *  *  * *
xoo3ofx ...&#xt   3  3  3 |  3  0   6  3  3  0 |  1  0  0  3  3  0  0  1  0 | * 20  *  * *
xo. ... xo.&#x    4  1  0 |  2  2   4  0  0  0 |  0  1  0  2  0  2  0  0  0 | *  * 30  * *
... ofx5xox&#xt   5  5 10 |  0  5  10 10  5  5 |  0  0  1  0  5  5  5  0  1 | *  *  * 12 *
..o3..x5..x       0  0 60 |  0  0   0  0 60 30 |  0  0  0  0  0  0  0 20 12 | *  *  *  * 1

© 2004-2024
top of page