o3x o3F   x3V   F3F B3x   V3F     F3V   x3B F3F   V3x   F3o x3o 	-- o3x5x (tid)
                                                                 
                                                                 
x3o   x3F   o3B A3f   F3V B3f       f3B V3F   f3A B3o   F3x   o3x	-- x3o5f ((x,f)-srid)
                                                                 
   f3x   F3f B3o   x3B     fC3Bo Bo3fC     B3x   o3B f3F   x3f   	-- f3x5o ((f,x)-ti)
                                                                 
x3o   x3F   o3B A3f   F3V B3f       f3B V3F   f3A B3o   F3x   o3x	-- x3o5f ((x,f)-srid)
                                                                 
                                                                 
 o3x o3F   x3V   F3F B3x   V3F     F3V   x3B F3F   V3x   F3o x3o 	-- o3x5x (tid)


where:
F=f+x, V=2f, A=f+2x, B=fF=2f+x, C=2F=2f+2x

By means of either the pair of segmentochora idati and tiatid or alternatively the bistratic id-cap of rahi this polychoron can independantly continued on either side, then resulting in ox|oxfxo|xo-3-xx|xoxox|xx-5-oo|xfofx|oo-&#xt, oo|oxfxo|oo-3-xo|xoxox|ox-5-of|xfofx|fo-&#xt, or ox|oxfxo|oo-3-xx|xoxox|ox-5-oo|xfofx|fo-&#xt. All 3 in turn are different EKFs derived from ex.

Incidence matrix according to Dynkin symbol

Fxo oxf3xox5xfo&#zxt   → both heights = 0

o.. o..3o..5o..     | 120   *  * |   2  1   2  0   0   0  0 |  1  2   1   2   2  0  0   0   0  0 | 1  1  1  2  0  0
.o. .o.3.o.5.o.     |   * 120  * |   0  0   2  1   2   2  0 |  0  0   2   1   2  2  1   2   1  0 | 0  1  2  1  1  1
..o ..o3..o5..o     |   *   * 60 |   0  0   0  0   0   4  2 |  0  0   0   0   2  0  0   2   4  1 | 0  0  1  2  0  2
--------------------+------------+--------------------------+------------------------------------+-----------------
... ... x.. ...     |   2   0  0 | 120  *   *  *   *   *  * |  1  1   0   1   0  0  0   0   0  0 | 1  1  0  1  0  0
... ... ... x..     |   2   0  0 |   * 60   *  *   *   *  * |  0  2   0   0   2  0  0   0   0  0 | 1  0  1  2  0  0
oo. oo.3oo.5oo.&#x  |   1   1  0 |   *  * 240  *   *   *  * |  0  0   1   1   1  0  0   0   0  0 | 0  1  1  1  0  0
.x. ... ... ...     |   0   2  0 |   *  *   * 60   *   *  * |  0  0   0   0   0  2  0   2   0  0 | 0  0  2  0  1  1
... .x. ... ...     |   0   2  0 |   *  *   *  * 120   *  * |  0  0   1   0   0  1  1   0   0  0 | 0  1  1  0  1  0
.oo .oo3.oo5.oo&#x  |   0   1  1 |   *  *   *  *   * 240  * |  0  0   0   0   1  0  0   1   1  0 | 0  0  1  1  0  1
... ... ..x ...     |   0   0  2 |   *  *   *  *   *   * 60 |  0  0   0   0   0  0  0   0   2  1 | 0  0  0  2  0  1
--------------------+------------+--------------------------+------------------------------------+-----------------
... o..3x.. ...     |   3   0  0 |   3  0   0  0   0   0  0 | 40  *   *   *   *  *  *   *   *  * | 1  1  0  0  0  0
... ... x..5x..     |  10   0  0 |   5  5   0  0   0   0  0 |  * 24   *   *   *  *  *   *   *  * | 1  0  0  1  0  0
... ox. ... ...&#x  |   1   2  0 |   0  0   2  0   1   0  0 |  *  * 120   *   *  *  *   *   *  * | 0  1  1  0  0  0
... ... xo. ...&#x  |   2   1  0 |   1  0   2  0   0   0  0 |  *  *   * 120   *  *  *   *   *  * | 0  1  0  1  0  0
... ... ... xfo&#xt |   2   2  1 |   0  1   2  0   0   2  0 |  *  *   *   * 120  *  *   *   *  * | 0  0  1  1  0  0
.x. .x. ... ...     |   0   4  0 |   0  0   0  2   2   0  0 |  *  *   *   *   * 60  *   *   *  * | 0  0  1  0  1  0
... .x.3.o. ...     |   0   3  0 |   0  0   0  0   3   0  0 |  *  *   *   *   *  * 40   *   *  * | 0  1  0  0  1  0
.xo ... ... ...&#x  |   0   2  1 |   0  0   0  1   0   2  0 |  *  *   *   *   *  *  * 120   *  * | 0  0  1  0  0  1
... ... .ox ...&#x  |   0   1  2 |   0  0   0  0   0   2  1 |  *  *   *   *   *  *  *   * 120  * | 0  0  0  1  0  1
... ... ..x5..o     |   0   0  5 |   0  0   0  0   0   0  5 |  *  *   *   *   *  *  *   *   * 12 | 0  0  0  2  0  0
--------------------+------------+--------------------------+------------------------------------+-----------------
... o..3x..5x..     ♦  60   0  0 |  60 30   0  0   0   0  0 | 20 12   0   0   0  0  0   0   0  0 | 2  *  *  *  *  *
... ox.3xo. ...&#x  ♦   3   3  0 |   3  0   6  0   3   0  0 |  1  0   3   3   0  0  1   0   0  0 | * 40  *  *  *  *
Fxo oxf ... xfo&#zx ♦   4   8  2 |   0  2   8  4   4   8  0 |  0  0   4   0   4  2  0   4   0  0 | *  * 30  *  *  *
... ... xox5xfo&#xt ♦  10   5  5 |   5  5  10  0   0  10  5 |  0  1   0   5   5  0  0   0   5  1 | *  *  * 24  *  *
.x. .x.3.o. ...&#x  ♦   0   6  0 |   0  0   0  3   6   0  0 |  0  0   0   0   0  3  2   0   0  0 | *  *  *  * 20  *
.xo ... .ox ...&#x  ♦   0   2  2 |   0  0   0  1   0   4  1 |  0  0   0   0   0  0  0   2   2  0 | *  *  *  *  * 60

oxfxo3xoxox5xfofx&#xt   → inner heights = 1/2
                          outer heights = (1+sqrt(5))/4 = 0.809017
(tid || pseudo (x,f)-srid || pseudo (f,x)-ti || pseudo (x,f)-srid || tid)

o....3o....5o....     & | 120   *  * |   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...5.o...     & |   * 120  * |   0  0   2   2   2  1  0 |  0  0   2   1   2  1   1  2   2  0 | 0  1  2  1  1  1
..o..3..o..5..o..       |   *   * 60 |   0  0   0   0   4  0  2 |  0  0   0   0   2  0   4  0   2  1 | 0  0  1  2  0  2
------------------------+------------+--------------------------+------------------------------------+-----------------
..... x.... .....     & |   2   0  0 | 120  *   *   *   *  *  * |  1  1   0   1   0  0   0  0   0  0 | 1  1  0  1  0  0
..... ..... x....     & |   2   0  0 |   * 60   *   *   *  *  * |  0  2   0   0   2  0   0  0   0  0 | 1  0  1  2  0  0
oo...3oo...5oo...&#x  & |   1   1  0 |   *  * 240   *   *  *  * |  0  0   1   1   1  0   0  0   0  0 | 0  1  1  1  0  0
.x... ..... .....     & |   0   2  0 |   *  *   * 120   *  *  * |  0  0   1   0   0  1   0  1   0  0 | 0  1  1  0  1  0
.oo..3.oo..5.oo..&#x  & |   0   1  1 |   *  *   *   * 240  *  * |  0  0   0   0   1  0   1  0   1  0 | 0  0  1  1  0  1
.o.o.3.o.o.5.o.o.&#x    |   0   2  0 |   *  *   *   *   * 60  * |  0  0   0   0   0  0   0  2   2  0 | 0  0  2  0  1  1
..... ..x.. .....       |   0   0  2 |   *  *   *   *   *  * 60 |  0  0   0   0   0  0   2  0   0  1 | 0  0  0  2  0  1
------------------------+------------+--------------------------+------------------------------------+-----------------
o....3x.... .....     & |   3   0  0 |   3  0   0   0   0  0  0 | 40  *   *   *   *  *   *  *   *  * | 1  1  0  0  0  0
..... x....5x....     & |  10   0  0 |   5  5   0   0   0  0  0 |  * 24   *   *   *  *   *  *   *  * | 1  0  0  1  0  0
ox... ..... .....&#x  & |   1   2  0 |   0  0   2   1   0  0  0 |  *  * 120   *   *  *   *  *   *  * | 0  1  1  0  0  0
..... xo... .....&#x  & |   2   1  0 |   1  0   2   0   0  0  0 |  *  *   * 120   *  *   *  *   *  * | 0  1  0  1  0  0
..... ..... xfo..&#xt & |   2   2  1 |   0  1   2   0   2  0  0 |  *  *   *   * 120  *   *  *   *  * | 0  0  1  1  0  0
.x...3.o... .....     & |   0   3  0 |   0  0   0   3   0  0  0 |  *  *   *   *   * 40   *  *   *  * | 0  1  0  0  1  0
..... .ox.. .....&#x  & |   0   1  2 |   0  0   0   0   2  0  1 |  *  *   *   *   *  * 120  *   *  * | 0  0  0  1  0  1
.x.x. ..... .....&#x    |   0   4  0 |   0  0   0   2   0  2  0 |  *  *   *   *   *  *   * 60   *  * | 0  0  1  0  1  0
.ooo.3.ooo.5.ooo.&#x    |   0   2  1 |   0  0   0   0   2  1  0 |  *  *   *   *   *  *   *  * 120  * | 0  0  1  0  0  1
..... ..x..5..o..       |   0   0  5 |   0  0   0   0   0  0  5 |  *  *   *   *   *  *   *  *   * 12 | 0  0  0  2  0  0
------------------------+------------+--------------------------+------------------------------------+-----------------
o....3x....5x....     & ♦  60   0  0 |  60 30   0   0   0  0  0 | 20 12   0   0   0  0   0  0   0  0 | 2  *  *  *  *  *
ox...3xo... .....&#x  & ♦   3   3  0 |   3  0   6   3   0  0  0 |  1  0   3   3   0  1   0  0   0  0 | * 40  *  *  *  *
oxfxo ..... xfofx&#xt   ♦   4   8  2 |   0  2   8   4   8  4  0 |  0  0   4   0   4  0   0  2   4  0 | *  * 30  *  *  *
..... xox..5xfo..&#xt & ♦  10   5  5 |   5  5  10   0  10  0  5 |  0  1   0   5   5  0   5  0   0  1 | *  *  * 24  *  *
.x.x.3.o.o. .....&#x    ♦   0   6  0 |   0  0   0   6   0  3  0 |  0  0   0   0   0  2   0  3   0  0 | *  *  *  * 20  *
..... .oxo. .....&#x    ♦   0   2  2 |   0  0   0   0   4  1  1 |  0  0   0   0   0  0   2  0   2  0 | *  *  *  *  * 60