©

Just as thawro itself is related to the threefold rotunda of id (oxFf3xfof&#xt), when the bottom base layer f3f is concentrically replaced by x3x, this polychoron too is related to the id-first tristratic sub-cap of rahi (oxFf3xfof5xoxo&#xt), when the bottom base layer f3f5o is concentrically replaced by x3x5x (grid).

Incidence matrix according to Dynkin symbol

oxFx3xfox5xoxx&#xt   → height(1,2) = height(3,4) = 1/2
(F=ff=x+f)             height(2,3) = (sqrt(5)-1)/4 = 0.309017
(tid || pseudo (x,f)-ti || pseudo (F,x)-srid || grid)

o...3o...5o...     | 60  *  *   * |  2  1   2  0   0   0  0   0  0  0  0 |  1  2  1  2  2  0  0  0   0  0  0  0  0  0  0 | 1  1  1  2  0  0  0 0
.o..3.o..5.o..     |  * 60  *   * |  0  0   2  1   2   2  0   0  0  0  0 |  0  0  2  2  1  2  1  1   2  0  0  0  0  0  0 | 0  2  1  1  1  1  0 0
..o.3..o.5..o.     |  *  * 60   * |  0  0   0  0   2   0  2   2  0  0  0 |  0  0  0  1  0  0  2  0   2  1  1  2  0  0  0 | 0  1  0  1  0  2  1 0
...o3...o5...o     |  *  *  * 120 |  0  0   0  0   0   1  0   1  1  1  1 |  0  0  0  0  0  1  0  1   1  0  1  1  1  1  1 | 0  1  0  0  1  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
.... .... x...     |  2  0  0   0 |  * 30   *  *   *   *  *   *  *  *  * |  0  2  0  0  2  0  0  0   0  0  0  0  0  0  0 | 1  0  1  2  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
.x.. .... ....     |  0  2  0   0 |  *  *   * 30   *   *  *   *  *  *  * |  0  0  2  0  0  2  0  0   0  0  0  0  0  0  0 | 0  2  1  0  1  0  0 0
.oo.3.oo.5.oo.&#x  |  0  1  1   0 |  *  *   *  * 120   *  *   *  *  *  * |  0  0  0  1  0  0  1  0   1  0  0  0  0  0  0 | 0  1  0  1  0  1  0 0
.o.o3.o.o5.o.o&#x  |  0  1  0   1 |  *  *   *  *   * 120  *   *  *  *  * |  0  0  0  0  0  1  0  1   1  0  0  0  0  0  0 | 0  1  0  0  1  1  0 0
.... .... ..x.     |  0  0  2   0 |  *  *   *  *   *   * 60   *  *  *  * |  0  0  0  0  0  0  1  0   0  1  0  1  0  0  0 | 0  0  0  1  0  1  1 0
..oo3..oo5..oo&#x  |  0  0  1   1 |  *  *   *  *   *   *  * 120  *  *  * |  0  0  0  0  0  0  0  0   1  0  1  1  0  0  0 | 0  1  0  0  0  1  1 0
...x .... ....     |  0  0  0   2 |  *  *   *  *   *   *  *   * 60  *  * |  0  0  0  0  0  1  0  0   0  0  0  0  1  1  0 | 0  1  0  0  1  0  0 1
.... ...x ....     |  0  0  0   2 |  *  *   *  *   *   *  *   *  * 60  * |  0  0  0  0  0  0  0  0   0  0  1  0  1  0  1 | 0  1  0  0  0  0  1 1
.... .... ...x     |  0  0  0   2 |  *  *   *  *   *   *  *   *  *  * 60 |  0  0  0  0  0  0  0  1   0  0  0  1  0  1  1 | 0  0  0  0  1  1  1 1
-------------------+--------------+--------------------------------------+-----------------------------------------------+----------------------
o...3x... ....     |  3  0  0   0 |  3  0   0  0   0   0  0   0  0  0  0 | 20  *  *  *  *  *  *  *   *  *  *  *  *  *  * | 1  1  0  0  0  0  0 0
.... x...5x...     | 10  0  0   0 |  5  5   0  0   0   0  0   0  0  0  0 |  * 12  *  *  *  *  *  *   *  *  *  *  *  *  * | 1  0  0  1  0  0  0 0
ox.. .... ....&#x  |  1  2  0   0 |  0  0   2  1   0   0  0   0  0  0  0 |  *  * 60  *  *  *  *  *   *  *  *  *  *  *  * | 0  1  1  0  0  0  0 0
.... xfo. ....&#xt |  2  2  1   0 |  1  0   2  0   2   0  0   0  0  0  0 |  *  *  * 60  *  *  *  *   *  *  *  *  *  *  * | 0  1  0  1  0  0  0 0
.... .... xo..&#x  |  2  1  0   0 |  0  1   2  0   0   0  0   0  0  0  0 |  *  *  *  * 60  *  *  *   *  *  *  *  *  *  * | 0  0  1  1  0  0  0 0
.x.x .... ....&#x  |  0  2  0   2 |  0  0   0  1   0   2  0   0  1  0  0 |  *  *  *  *  * 60  *  *   *  *  *  *  *  *  * | 0  1  0  0  1  0  0 0
.... .... .ox.&#x  |  0  1  2   0 |  0  0   0  0   2   0  1   0  0  0  0 |  *  *  *  *  *  * 60  *   *  *  *  *  *  *  * | 0  0  0  1  0  1  0 0
.... .... .o.x&#x  |  0  1  0   2 |  0  0   0  0   0   2  0   0  0  0  1 |  *  *  *  *  *  *  * 60   *  *  *  *  *  *  * | 0  0  0  0  1  1  0 0
.ooo3.ooo5.ooo&#x  |  0  1  1   1 |  0  0   0  0   1   1  0   1  0  0  0 |  *  *  *  *  *  *  *  * 120  *  *  *  *  *  * | 0  1  0  0  0  1  0 0
.... ..o.5..x.     |  0  0  5   0 |  0  0   0  0   0   0  5   0  0  0  0 |  *  *  *  *  *  *  *  *   * 12  *  *  *  *  * | 0  0  0  1  0  0  1 0
.... ..ox ....&#x  |  0  0  1   2 |  0  0   0  0   0   0  0   2  0  1  0 |  *  *  *  *  *  *  *  *   *  * 60  *  *  *  * | 0  1  0  0  0  0  1 0
.... .... ..xx&#x  |  0  0  2   2 |  0  0   0  0   0   0  1   2  0  0  1 |  *  *  *  *  *  *  *  *   *  *  * 60  *  *  * | 0  0  0  0  0  1  1 0
...x3...x ....     |  0  0  0   6 |  0  0   0  0   0   0  0   0  3  3  0 |  *  *  *  *  *  *  *  *   *  *  *  * 20  *  * | 0  1  0  0  0  0  0 1
...x .... ...x     |  0  0  0   4 |  0  0   0  0   0   0  0   0  2  0  2 |  *  *  *  *  *  *  *  *   *  *  *  *  * 30  * | 0  0  0  0  1  0  0 1
.... ...x5...x     |  0  0  0  10 |  0  0   0  0   0   0  0   0  0  5  5 |  *  *  *  *  *  *  *  *   *  *  *  *  *  * 12 | 0  0  0  0  0  0  1 1
-------------------+--------------+--------------------------------------+-----------------------------------------------+----------------------
o...3x...5x...     ♦ 60  0  0   0 | 60 30   0  0   0   0  0   0  0  0  0 | 20 12  0  0  0  0  0  0   0  0  0  0  0  0  0 | 1  *  *  *  *  *  * *
oxFx3xfox ....&#xt ♦  3  6  3   6 |  3  0   6  3   6   6  0   6  3  3  0 |  1  0  3  3  0  3  0  0   6  0  3  0  1  0  0 | * 20  *  *  *  *  * *
ox.. .... xo..&#x  ♦  2  2  0   0 |  0  1   4  1   0   0  0   0  0  0  0 |  0  0  2  0  2  0  0  0   0  0  0  0  0  0  0 | *  * 30  *  *  *  * *
.... xfo.5xox.&#xt ♦ 10  5  5   0 |  5  5  10  0  10   0  5   0  0  0  0 |  0  1  0  5  5  0  5  0   0  1  0  0  0  0  0 | *  *  * 12  *  *  * *
.x.x .... .o.x&#x  ♦  0  2  0   4 |  0  0   0  1   0   4  0   0  2  0  2 |  0  0  0  0  0  2  0  2   0  0  0  0  0  1  0 | *  *  *  * 30  *  * *
.... .... .oxx&#xr ♦  0  1  2   2 |  0  0   0  0   2   2  1   2  0  0  1 |  0  0  0  0  0  0  1  1   2  0  0  1  0  0  0 | *  *  *  *  * 60  * *
.... ..ox5..xx&#x  ♦  0  0  5  10 |  0  0   0  0   0   0  5  10  0  5  5 |  0  0  0  0  0  0  0  0   0  1  5  5  0  0  1 | *  *  *  *  *  * 12 *
...x3...x5...x     ♦  0  0  0 120 |  0  0   0  0   0   0  0   0 60 60 60 |  0  0  0  0  0  0  0  0   0  0  0  0 20 30 12 | *  *  *  *  *  *  * 1