©

This polychoron is a special mixture out of a diminished, still tristratic ike-first segment of rox, i.e. oxFf3xooo5oxox&#x (this describes all but the largest vertex layer correctly) and the bistratic stack of the two segmentochora id || srid and srid || ti (that one misses the the additional vertices, which would transform the lower paps into pappies).

This polychoron is closely related to the thawro pyrite. Indeed, if an octahedral subset of triangles and all their direct incidences are removed, the sectioning facets underneath would be thawroes.

Incidence matrix according to Dynkin symbol

oxFx3xoox5oxoo&#xt   → height(1,2) = height(3,4) = 1/2
(F=ff=x+f)             height(2,3) = (sqrt(5)-1)/4 = 0.309017
(id || pseudo srid || pseudo F-ike || ti

o...3o...5o...    | 30  *  *  * |  4   4  0  0  0   0  0  0  0 |  2  2  2  4  2  0  0  0  0  0  0   0  0  0  0 | 1  2  1  2  0  0  0  0  0 0
.o..3.o..5.o..    |  * 60  *  * |  0   2  2  2  1   2  0  0  0 |  0  0  2  1  2  1  2  2  2  1  2   2  0  0  0 | 0  1  2  1  1  2  1  2  0 0
..o.3..o.5..o.    |  *  * 12  * ♦  0   0  0  0  5   0  5  0  0 |  0  0  0  0  0  0  0  5  0  0  0  10  5  0  0 | 0  0  0  1  5  5  0  0  1 0
...o3...o5...o    |  *  *  * 60 |  0   0  0  0  0   2  1  1  2 |  0  0  0  0  0  0  0  0  2  2  1   2  2  2  1 | 0  0  0  0  2  1  2  1  1 1
------------------+-------------+------------------------------+-----------------------------------------------+----------------------------
.... x... ....    |  2  0  0  0 | 60   *  *  *  *   *  *  *  * |  1  1  0  1  0  0  0  0  0  0  0   0  0  0  0 | 1  1  0  1  0  0  0  0  0 0
oo..3oo..5oo..&#x |  1  1  0  0 |  * 120  *  *  *   *  *  *  * |  0  0  1  1  1  0  0  0  0  0  0   0  0  0  0 | 0  1  1  1  0  0  0  0  0 0
.x.. .... ....    |  0  2  0  0 |  *   * 60  *  *   *  *  *  * |  0  0  1  0  0  1  1  0  1  0  0   0  0  0  0 | 0  1  1  0  0  0  1  1  0 0
.... .... .x..    |  0  2  0  0 |  *   *  * 60  *   *  *  *  * |  0  0  0  0  1  0  1  1  0  0  0   0  0  0  0 | 0  0  1  1  0  1  0  1  0 0
.oo.3.oo.5.oo.&#x |  0  1  1  0 |  *   *  *  * 60   *  *  *  * |  0  0  0  0  0  0  0  2  0  0  0   2  0  0  0 | 0  0  0  1  1  2  0  0  0 0
.o.o3.o.o5.o.o&#x |  0  1  0  1 |  *   *  *  *  * 120  *  *  * |  0  0  0  0  0  0  0  0  1  1  1   1  0  0  0 | 0  0  0  0  1  1  1  1  0 0
..oo3..oo5..oo&#x |  0  0  1  1 |  *   *  *  *  *   * 60  *  * |  0  0  0  0  0  0  0  0  0  0  0   2  2  0  0 | 0  0  0  0  2  1  0  0  1 0
...x .... ....    |  0  0  0  2 |  *   *  *  *  *   *  * 30  * |  0  0  0  0  0  0  0  0  2  0  0   0  0  2  0 | 0  0  0  0  0  0  2  1  0 1
.... ...x ....    |  0  0  0  2 |  *   *  *  *  *   *  *  * 60 |  0  0  0  0  0  0  0  0  0  1  0   0  1  1  1 | 0  0  0  0  1  0  1  0  1 1
------------------+-------------+------------------------------+-----------------------------------------------+----------------------------
o...3x... ....    |  3  0  0  0 |  3   0  0  0  0   0  0  0  0 | 20  *  *  *  *  *  *  *  *  *  *   *  *  *  * | 1  1  0  0  0  0  0  0  0 0
.... x...5o...    |  5  0  0  0 |  5   0  0  0  0   0  0  0  0 |  * 12  *  *  *  *  *  *  *  *  *   *  *  *  * | 1  0  0  1  0  0  0  0  0 0
ox.. .... ....&#x |  1  2  0  0 |  0   2  1  0  0   0  0  0  0 |  *  * 60  *  *  *  *  *  *  *  *   *  *  *  * | 0  1  1  0  0  0  0  0  0 0
.... xo.. ....&#x |  2  1  0  0 |  1   2  0  0  0   0  0  0  0 |  *  *  * 60  *  *  *  *  *  *  *   *  *  *  * | 0  1  0  1  0  0  0  0  0 0
.... .... ox..&#x |  1  2  0  0 |  0   2  0  1  0   0  0  0  0 |  *  *  *  * 60  *  *  *  *  *  *   *  *  *  * | 0  0  1  1  0  0  0  0  0 0
.x..3.o.. ....    |  0  3  0  0 |  0   0  3  0  0   0  0  0  0 |  *  *  *  *  * 20  *  *  *  *  *   *  *  *  * | 0  1  0  0  0  0  1  0  0 0
.x.. .... .x..    |  0  4  0  0 |  0   0  2  2  0   0  0  0  0 |  *  *  *  *  *  * 30  *  *  *  *   *  *  *  * | 0  0  1  0  0  0  0  1  0 0
.... .... .xo.&#x |  0  2  1  0 |  0   0  0  1  2   0  0  0  0 |  *  *  *  *  *  *  * 60  *  *  *   *  *  *  * | 0  0  0  1  0  1  0  0  0 0
.x.x .... ....&#x |  0  2  0  2 |  0   0  1  0  0   2  0  1  0 |  *  *  *  *  *  *  *  * 60  *  *   *  *  *  * | 0  0  0  0  0  0  1  1  0 0
.... .o.x ....&#x |  0  1  0  2 |  0   0  0  0  0   2  0  0  1 |  *  *  *  *  *  *  *  *  * 60  *   *  *  *  * | 0  0  0  0  1  0  1  0  0 0
.... .... .x.o&#x |  0  2  0  1 |  0   0  0  1  0   2  0  0  0 |  *  *  *  *  *  *  *  *  *  * 60   *  *  *  * | 0  0  0  0  0  1  0  1  0 0
.ooo3.ooo5.ooo&#x |  0  1  1  1 |  0   0  0  0  1   1  1  0  0 |  *  *  *  *  *  *  *  *  *  *  * 120  *  *  * | 0  0  0  0  1  1  0  0  0 0
.... ..ox ....&#x |  0  0  1  2 |  0   0  0  0  0   0  2  0  1 |  *  *  *  *  *  *  *  *  *  *  *   * 60  *  * | 0  0  0  0  1  0  0  0  1 0
...x3...x ....    |  0  0  0  6 |  0   0  0  0  0   0  0  3  3 |  *  *  *  *  *  *  *  *  *  *  *   *  * 20  * | 0  0  0  0  0  0  1  0  0 1
.... ...x5...o    |  0  0  0  5 |  0   0  0  0  0   0  0  0  5 |  *  *  *  *  *  *  *  *  *  *  *   *  *  * 12 | 0  0  0  0  0  0  0  0  1 1
------------------+-------------+------------------------------+-----------------------------------------------+----------------------------
o...3x...5o...    ♦ 30  0  0  0 | 60   0  0  0  0   0  0  0  0 | 20 12  0  0  0  0  0  0  0  0  0   0  0  0  0 | 1  *  *  *  *  *  *  *  * *
ox..3xo.. ....&#x ♦  3  3  0  0 |  3   6  3  0  0   0  0  0  0 |  1  0  3  3  0  1  0  0  0  0  0   0  0  0  0 | * 20  *  *  *  *  *  *  * *
ox.. .... ox..&#x ♦  1  4  0  0 |  0   4  2  2  0   0  0  0  0 |  0  0  2  0  2  0  1  0  0  0  0   0  0  0  0 | *  * 30  *  *  *  *  *  * *
.... xoo.5oxo.&#x ♦  5  5  1  0 |  5  10  0  5  5   0  0  0  0 |  0  1  0  5  5  0  0  5  0  0  0   0  0  0  0 | *  *  * 12  *  *  *  *  * *
.... .oox ....&#x ♦  0  1  1  2 |  0   0  0  0  1   2  2  0  1 |  0  0  0  0  0  0  0  0  0  1  0   2  1  0  0 | *  *  *  * 60  *  *  *  * *
.... .... .xoo&#x ♦  0  2  1  1 |  0   0  0  1  2   2  1  0  0 |  0  0  0  0  0  0  0  1  0  0  1   2  0  0  0 | *  *  *  *  * 60  *  *  * *
.x.x3.o.x ....&#x ♦  0  3  0  6 |  0   0  3  0  0   6  0  3  3 |  0  0  0  0  0  1  0  0  3  3  0   0  0  1  0 | *  *  *  *  *  * 20  *  * *
.x.x .... .x.o&#x ♦  0  4  0  2 |  0   0  2  2  0   4  0  1  0 |  0  0  0  0  0  0  1  0  2  0  2   0  0  0  0 | *  *  *  *  *  *  * 30  * *
.... ..ox5..oo&#x ♦  0  0  1  5 |  0   0  0  0  0   0  5  0  5 |  0  0  0  0  0  0  0  0  0  0  0   0  5  0  1 | *  *  *  *  *  *  *  * 12 *
...x3...x5...o    ♦  0  0  0 60 |  0   0  0  0  0   0  0 30 60 |  0  0  0  0  0  0  0  0  0  0  0   0  0 20 12 | *  *  *  *  *  *  *  *  * 1