Acronym ...
Name xooFxxFfooFxofo3xxFooFxxxFoxFxx3ofooFoofFxxfoox&#xt
Face vector 184, 756, 836, 264
Confer
uniform relative:
ex  
related CRFs:
xoofxxFfooFxofo3xxFxoFxxxFoxFxx3ofoxFoofFxxfoox&#xt   xooFxxFfooFoofo3xxFooFxxxFooFxx3ofooFoofFxxFoox&#xt  
general polytopal classes:
expanded kaleido-facetings  

There are other axial EKF which re-use one half of this polychoron, but then continue differently, still having the same vertex layers throughout: xoofxxFfooFxofo3xxFxoFxxxFoxFxx3ofoxFoofFxxfoox&#xt and xooFxxFfooFoofo3xxFooFxxxFooFxx3ofooFoofFxxFoox&#xt, in fact, this polychoron happens to be one half of each of those.

For both of those prismatically symmetric ones their relation to ex has been given there. Their respective derivations therefore continue to hold here as well, when applied to one hemiglome each.


Incidence matrix according to Dynkin symbol

xooFxxFfooFxofo3xxFooFxxxFoxFxx3ofooFoofFxxfoox&#xt   → height(1,2) = height(3,4) = height(5,6) = height(7,8) = height(8,9) = height(10,11) = height(12,13) = height(14,15) = sqrt[3-sqrt(5)]/4 = 0.218508
                                                        height(2,3) = height(6,7) = height(9,10) = height(13,14) = sqrt[7-3 sqrt(5)]/4 = 0.135045
                                                        height(4,5) = height(11,12) = 1/sqrt(8) = 0.353553
(tut || pseudo inv (f,x)-tut || pseudo F-oct || pseudo F-tet || pseudo (x,F)-co || pseudo (x,F)-tut || pseudo (F,x)-tut || pseudo (f,x,f)-toe || pseudo inv (F,x)-tut || pseudo inv (x,F)-tut || pseudo (F,x)-co || pseudo (x,x,f)-toe || pseudo F-oct || pseudo (f,x)-tut || inv tut)

o..............3o..............3o..............     | 12  * * *  *  *  *  *  *  *  *  * *  *  * | 1  2  2  1  1  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0 | 2 1  2  2 1  2  2  1 0  0  0  0 0  0 0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0 0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 0  0  0 0 0 | 1 2 1  2  2 0  0 0  0 0  0 0 0  0  0  0  0  0 0  0  0 0  0  0 0  0  0 0 0
.o.............3.o.............3.o.............     |  * 12 * *  *  *  *  *  *  *  *  * *  *  * | 0  0  2  0  0  2  1  2  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0 | 0 0  1  2 0  0  2  0 1  1  2  2 0  0 0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0 0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 0  0  0 0 0 | 0 1 0  1  2 1  1 0  0 0  0 0 0  0  0  0  0  0 0  0  0 0  0  0 0  0  0 0 0
..o............3..o............3..o............     |  *  * 6 *  *  *  *  *  *  *  *  * *  *  * | 0  0  0  2  0  0  2  0  2  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0 | 0 0  0  0 1  0  4  2 0  0  0  4 1  0 0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0 0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 0  0  0 0 0 | 0 0 0  2  4 0  2 0  0 0  0 0 0  0  0  0  0  0 0  0  0 0  0  0 0  0  0 0 0
...o...........3...o...........3...o...........     |  *  * * 4  *  *  *  *  *  *  *  * *  *  *  0  0  0  0  3  0  0  0  0  3  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0 | 0 0  0  0 0  3  0  3 0  0  0  0 0  3 0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0 0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 0  0  0 0 0 | 0 0 1  0  3 0  0 1  0 0  0 0 0  0  0  0  0  0 0  0  0 0  0  0 0  0  0 0 0
....o..........3....o..........3....o..........     |  *  * * * 12  *  *  *  *  *  *  * *  *  * | 0  0  0  0  0  0  0  2  0  0  2  2  2 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0 | 0 0  0  0 0  0  0  0 0  2  1  2 0  0 1  1  2  1  2  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0 0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 0  0  0 0 0 | 0 0 0  0  1 1  2 0  1 1  0 0 0  0  0  0  0  0 0  0  0 0  0  0 0  0  0 0 0
.....o.........3.....o.........3.....o.........     |  *  * * *  * 12  *  *  *  *  *  * *  *  * | 0  0  0  0  0  0  0  0  1  0  0  0  0 1  1  2  2  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0 | 0 0  0  0 0  0  0  1 0  0  0  2 1  0 0  0  0  0  0  2  1  2  2 0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0 0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 0  0  0 0 0 | 0 0 0  0  2 0  2 0  0 0  1 1 0  0  0  0  0  0 0  0  0 0  0  0 0  0  0 0 0
......o........3......o........3......o........     |  *  * * *  *  * 12  *  *  *  *  * *  *  * | 0  0  0  0  0  0  0  0  0  1  0  0  0 0  1  0  0  2  2  2  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0 | 0 0  0  0 0  0  0  1 0  0  0  0 0  2 0  0  0  0  0  0  0  2  0 1  2  2  1  2  0  0  0  0  0  0  0 0  0  0  0  0 0  0 0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 0  0  0 0 0 | 0 0 0  0  2 0  0 1  0 0  1 0 1  2  0  0  0  0 0  0  0 0  0  0 0  0  0 0 0
.......o.......3.......o.......3.......o.......     |  *  * * *  *  *  * 24  *  *  *  * *  *  * | 0  0  0  0  0  0  0  0  0  0  0  1  0 0  0  1  0  0  1  0  1  1  1  1  1  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0 | 0 0  0  0 0  0  0  0 0  0  0  1 0  0 0  1  0  0  1  0  0  1  1 0  1  0  0  1  1  1  1  1  1  1  1 0  0  0  0  0 0  0 0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 0  0  0 0 0 | 0 0 0  0  1 0  1 0  1 0  1 0 0  1  1  1  1  0 0  0  0 0  0  0 0  0  0 0 0
........o......3........o......3........o......     |  *  * * *  *  *  *  * 12  *  *  * *  *  * | 0  0  0  0  0  0  0  0  0  0  0  0  2 0  0  0  0  0  0  0  0  2  0  0  0  2  1  2 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0 | 0 0  0  0 0  0  0  0 0  0  0  0 0  0 0  0  1  2  2  0  0  0  0 0  0  0  0  0  2  0  0  2  2  0  0 1  1  2  2  0 0  0 0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 0  0  0 0 0 | 0 0 0  0  0 0  1 0  2 1  0 0 0  0  2  0  2  1 1  0  0 0  0  0 0  0  0 0 0
.........o.....3.........o.....3.........o.....     |  *  * * *  *  *  *  *  * 12  *  * *  *  * | 0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  2  0  0  0  0  0  2  0  0  0  1  0 1  2  1  0  0  0  0  0  0  0  0  0  0  0  0  0 0 | 0 0  0  0 0  0  0  0 0  0  0  0 0  0 0  0  0  0  0  1  2  0  2 0  0  0  0  0  0  0  0  2  0  2  0 0  0  0  2  1 1  2 0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 0  0  0 0 0 | 0 0 0  0  0 0  1 0  0 0  2 1 0  0  0  0  2  1 0  1  0 0  0  0 0  0  0 0 0
..........o....3..........o....3..........o....     |  *  * * *  *  *  *  *  *  * 12  * *  *  * | 0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  2  0  0  0  2  0  0  0  0 0  0  0  2  2  2  0  0  0  0  0  0  0  0  0  0 0 | 0 0  0  0 0  0  0  0 0  0  0  0 0  0 0  0  0  0  0  0  0  0  0 0  0  1  2  2  0  1  0  0  0  0  2 0  0  0  0  0 0  0 1  1  1  2  2 0  0  0  0  0  0  0  0 0  0 0  0  0 0 0 | 0 0 0  0  0 0  0 0  0 0  2 0 1  1  0  1  0  0 0  0  1 1  0  0 0  0  0 0 0
...........o...3...........o...3...........o...     |  *  * * *  *  *  *  *  *  *  * 24 *  *  * | 0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  1  0  0  1 0  1  0  0  1  0  1  1  1  1  1  0  0  0  0  0 0 | 0 0  0  0 0  0  0  0 0  0  0  0 0  0 0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  1  0  1  1  1 0  1  1  1  1 0  1 0  1  0  0  1 1  1  1  1  1  1  1  1 0  0 0  0  0 0 0 | 0 0 0  0  0 0  0 0  0 0  1 0 0  0  1  1  1  1 1  1  1 0  1  1 1  1  0 0 0
............o..3............o..3............o..     |  *  * * *  *  *  *  *  *  *  *  * 6  *  * | 0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  2  0  0  0  0  0  4  0  0  2  2  0  0  0 0 | 0 0  0  0 0  0  0  0 0  0  0  0 0  0 0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0 1  4 0  0  0  0  0 0  2  0  0  0  4  4  0 1  4 0  0  0 0 0 | 0 0 0  0  0 0  0 0  0 0  2 0 0  0  0  0  0  0 0  2  0 0  2  0 0  4  2 0 0
.............o.3.............o.3.............o.     |  *  * * *  *  *  *  *  *  *  *  * * 12  * | 0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  2  0  0  0  2  0  1  0  2  2  0 0 | 0 0  0  0 0  0  0  0 0  0  0  0 0  0 0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0 0  0  2  1  2 0  0  2  0  0  2  0  2 0  2 1  2  1 0 0 | 0 0 0  0  0 0  0 0  0 0  1 0 0  0  0  0  0  0 0  0  2 1  0  2 0  2  1 1 0
..............o3..............o3..............o     |  *  * * *  *  *  *  *  *  *  *  * *  * 12 | 0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  2  0  1  0  2  2 1 | 0 0  0  0 0  0  0  0 0  0  0  0 0  0 0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0 0  0  0  0  0 0  0  0  1  2  0  2  2 1  2 0  2  2 1 2 | 0 0 0  0  0 0  0 0  0 0  0 0 0  0  0  0  0  0 0  0  0 0  1  2 1  2  2 2 1
----------------------------------------------------+-------------------------------------------+------------------------------------------------------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------+--------------------------------------------------------------------------
x.............. ............... ...............     |  2  0 0 0  0  0  0  0  0  0  0  0 0  0  0 | 6  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * * | 2 0  2  0 1  0  0  0 0  0  0  0 0  0 0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0 0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 0  0  0 0 0 | 1 2 0  2  0 0  0 0  0 0  0 0 0  0  0  0  0  0 0  0  0 0  0  0 0  0  0 0 0
............... x.............. ...............     |  2  0 0 0  0  0  0  0  0  0  0  0 0  0  0 | * 12  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * * | 1 1  0  1 0  1  0  0 0  0  0  0 0  0 0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0 0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 0  0  0 0 0 | 1 1 1  0  1 0  0 0  0 0  0 0 0  0  0  0  0  0 0  0  0 0  0  0 0  0  0 0 0
oo.............3oo.............3oo.............&#x  |  1  1 0 0  0  0  0  0  0  0  0  0 0  0  0 | *  * 24  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * * | 0 0  1  1 0  0  1  0 0  0  0  0 0  0 0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0 0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 0  0  0 0 0 | 0 1 0  1  1 0  0 0  0 0  0 0 0  0  0  0  0  0 0  0  0 0  0  0 0  0  0 0 0
o.o............3o.o............3o.o............&#x  |  1  0 1 0  0  0  0  0  0  0  0  0 0  0  0 | *  *  * 12  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * * | 0 0  0  0 1  0  2  1 0  0  0  0 0  0 0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0 0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 0  0  0 0 0 | 0 0 0  2  2 0  0 0  0 0  0 0 0  0  0  0  0  0 0  0  0 0  0  0 0  0  0 0 0
o..o...........3o..o...........3o..o...........&#x  |  1  0 0 1  0  0  0  0  0  0  0  0 0  0  0 | *  *  *  * 12  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * * | 0 0  0  0 0  2  0  1 0  0  0  0 0  0 0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0 0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 0  0  0 0 0 | 0 0 1  0  2 0  0 0  0 0  0 0 0  0  0  0  0  0 0  0  0 0  0  0 0  0  0 0 0
............... .x............. ...............     |  0  2 0 0  0  0  0  0  0  0  0  0 0  0  0 | *  *  *  *  * 12  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * * | 0 0  0  1 0  0  0  0 1  0  1  0 0  0 0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0 0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 0  0  0 0 0 | 0 1 0  0  1 1  0 0  0 0  0 0 0  0  0  0  0  0 0  0  0 0  0  0 0  0  0 0 0
.oo............3.oo............3.oo............&#x  |  0  1 1 0  0  0  0  0  0  0  0  0 0  0  0 | *  *  *  *  *  * 12  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * * | 0 0  0  0 0  0  2  0 0  0  0  2 0  0 0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0 0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 0  0  0 0 0 | 0 0 0  1  2 0  1 0  0 0  0 0 0  0  0  0  0  0 0  0  0 0  0  0 0  0  0 0 0
.o..o..........3.o..o..........3.o..o..........&#x  |  0  1 0 0  1  0  0  0  0  0  0  0 0  0  0 | *  *  *  *  *  *  * 24  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * * | 0 0  0  0 0  0  0  0 0  1  1  1 0  0 0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0 0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 0  0  0 0 0 | 0 0 0  0  1 1  1 0  0 0  0 0 0  0  0  0  0  0 0  0  0 0  0  0 0  0  0 0 0
..o..o.........3..o..o.........3..o..o.........&#x  |  0  0 1 0  0  1  0  0  0  0  0  0 0  0  0 | *  *  *  *  *  *  *  * 12  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * * | 0 0  0  0 0  0  0  1 0  0  0  2 1  0 0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0 0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 0  0  0 0 0 | 0 0 0  0  2 0  2 0  0 0  0 0 0  0  0  0  0  0 0  0  0 0  0  0 0  0  0 0 0
...o..o........3...o..o........3...o..o........&#x  |  0  0 0 1  0  0  1  0  0  0  0  0 0  0  0 | *  *  *  *  *  *  *  *  * 12  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * * | 0 0  0  0 0  0  0  1 0  0  0  0 0  2 0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0 0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 0  0  0 0 0 | 0 0 0  0  2 0  0 1  0 0  0 0 0  0  0  0  0  0 0  0  0 0  0  0 0  0  0 0 0
....x.......... ............... ...............     |  0  0 0 0  2  0  0  0  0  0  0  0 0  0  0 | *  *  *  *  *  *  *  *  *  * 12  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * * | 0 0  0  0 0  0  0  0 0  1  0  0 0  0 1  0  1  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0 0  0 0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 0  0  0 0 0 | 0 0 0  0  0 1  1 0  0 1  0 0 0  0  0  0  0  0 0  0  0 0  0  0 0  0  0 0 0
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............... ....o..x....... ...............&#x  |  0  0 0 0  1  0  0  2  0  0  0  0 0  0  0 | 0  0  0  0  0  0  0  0  0  0  0  2  0 0  0  0  0  0  0  0  1  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 0 | * *  *  * *  *  *  * *  *  *  * *  * * 12  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  * *  *  *  *  * *  * *  *  *  *  * *  *  *  *  *  *  *  * *  * *  *  * * * | 0 0 0  0  1 0  0 0  1 0  0 0 0  0  0  0  0  0 0  0  0 0  0  0 0  0  0 0 0
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