Acronym ...
Name xoofxxFfooFxofo3xxFxoFxxxFoxFxx3ofoxFoofFxxfoox&#xt
Face vector 204, 924, 1104, 384
Confer
uniform relative:
ex  
related CRFs:
xo.fxxFfooFx.fo3xx.xoFxxxFox.xx3of.xFoofFxxf.ox&#xt  
general polytopal classes:
expanded kaleido-facetings  

The relation to ex runs as follows: ex in axial tetrahedral subsymmetry can be given as xoofoxFfoofxofo 3 oofoxfooofxofoo 3 ofoxfoofFxofoox &#xt (F = ff = f+x). There the fifth layer will be transformed according to: o3x3fx3(-x)3F and the eleventh layer according to: f3x3oF3(-x)3x. This then results in the kaleido-faceting xoofxxFfooFxofo 3 oofo(-x)fooof(-x)ofoo 3 ofoxFoofFxxfoox &#xt. Then a (uniformly to all layers) applied Stott expansion wrt. the second node produces this polychoron.


Incidence matrix according to Dynkin symbol

xoofxxFfooFxofo3xxFxoFxxxFoxFxx3ofoxFoofFxxfoox&#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,x,x)-toe || 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..............     & | 24  *  *  *  *  *  *  * |  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 | 2 1  2  2  1  2  1  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 | 1 2  2  2 1  1  2 0  0  0  0 0  0  0  0  0  0 0 0
.o.............3.o.............3.o.............     & |  * 24  *  *  *  *  *  * |  0  0  2  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  1  2  0  0  0  2  2  0 1  2  1  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 1  1  2 0  0  2 1  2  1  0 0  0  0  0  0  0 0 0
..o............3..o............3..o............     & |  *  * 12  *  *  *  *  * |  0  0  0  2  0  0  2  0  0  4  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 0 0  0  0  1  0  0  4  0  4 0  0  0  0  4  0  2  1  4 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  2  4 0  0  2  2 0  0  0  0  0  0 0 0
...o...........3...o...........3...o...........     & |  *  *  * 48  *  *  *  * |  0  0  0  0  1  0  0  1  0  1  0  1  1  1  1  1  1  0  0  0  0  0  0  0  0  0  0 | 0 0  0  0  0  1  1  0  1  1 0  1  0  0  1  1  1  0  1 1  1  1  1  1  1  1  1  1  1 0  0  0  0  0  0  0  0 0  0 | 0 0  0  1 1  1  1 0  1  1  1 1  1  1  1  1  0 0 0
....o..........3....o..........3....o..........     & |  *  *  *  * 24  *  *  * |  0  0  0  0  0  0  0  0  2  0  0  0  0  2  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  2  1  0  2  0  0  0 0  1  0  0  0  0  2  0  0  0 1  1  2  1  2  0  0  0 0  0 | 0 0  0  0 0  0  0 1  1  2  0 0  1  0  0  0  1 1 0
.....o.........3.....o.........3.....o.........     & |  *  *  *  *  * 24  *  * |  0  0  0  0  0  0  0  0  0  0  1  0  0  0  2  0  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  1  2 0  0  1  0  0  0  0  2  2  0 0  0  0  0  0  3  2  2 0  0 | 0 0  0  0 0  0  0 0  0  3  1 0  0  1  0  2  0 0 1
......o........3......o........3......o........     & |  *  *  *  *  *  * 24  * |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  2  0  1  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  2  1  0  0  2  0  2 0  0  1  2  2  0  2  0 1  2 | 0 0  0  0 0  0  0 0  0  1  0 1  0  1  2  2  2 1 0
.......o.......3.......o.......3.......o.......       |  *  *  *  *  *  *  * 24 |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0  2  0  0  0  2  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  2  2  0  2  2 0  2  0  0  2  0  2  1 0  2 | 0 0  0  0 0  0  0 0  0  2  0 0  2  0  2  2  2 0 0
------------------------------------------------------+-------------------------+----------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------+--------------------------------------------------
x.............. ............... ...............     & |  2  0  0  0  0  0  0  0 | 12  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 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 | 1 2  2  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 |  * 24  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 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 | 1 1  0  1 1  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 |  *  * 48  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  1  1  0  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  0  0  0  0  0 0  0 | 0 1  1  1 0  0  1 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 |  *  *  * 24  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  0  0  1  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  2  0 0  1  2 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 |  *  *  *  * 48  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  0  0  0  1  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  0  0  0 0  0 | 0 0  0  1 1  1  1 0  0  0  0 0  0  0  0  0  0 0 0
............... .x............. ...............     & |  0  2  0  0  0  0  0  0 |  *  *  *  *  * 24  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  0  1  0  0  0  0  0  0 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  0 | 0 1  0  1 0  0  0 1  1  0  0 0  0  0  0  0  0 0 0
.oo............3.oo............3.oo............&#x  & |  0  1  1  0  0  0  0  0 |  *  *  *  *  *  * 24  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  0  0  0  0  0  2  0  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  1  0 0  0  2 0  0  1  0 0  0  0  0  0  0 0 0
.o.o...........3.o.o...........3.o.o...........&#x  & |  0  1  0  1  0  0  0  0 |  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  0  0  0  0  0  0  1  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 | 0 0  0  1 0  0  1 0  1  1  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 |  *  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  0  0  0  0  0  0  0  0 0  0  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 0  0  0 0  0  0 1  1  1  0 0  0  0  0  0  0 0 0
..oo...........3..oo...........3..oo...........&#x  & |  0  0  1  1  0  0  0  0 |  *  *  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  0  0  0  0  0  0  0  1 0  0  0  0  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  1  1 0  0  1  1 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 |  *  *  *  *  *  *  *  *  *  * 24  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  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  2  1 0  0  0  0  0  0 0 0
............... ...x........... ...............     & |  0  0  0  2  0  0  0  0 |  *  *  *  *  *  *  *  *  *  *  * 24  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  0  0  0  1  0  0  0  0 0  1  0  0  0  0  0  0  0 1  1  0  1  0  1  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | 0 0  0  1 1  0  0 0  1  0  0 1  1  0  1  0  0 0 0
............... ............... ...x...........     & |  0  0  0  2  0  0  0  0 |  *  *  *  *  *  *  *  *  *  *  *  * 24  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  0  0  0  0  1  0  0  0 0  0  0  0  0  0  1  0  0 1  0  1  0  1  0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | 0 0  0  0 1  1  0 0  0  0  1 1  0  1  0  0  0 0 0
...oo..........3...oo..........3...oo..........&#x  & |  0  0  0  1  1  0  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  0  0  0  0  0  0  0  0 0  0  0  0  0  1  0  0  0 0  1  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  1  1  0 0  1  0  0  0  0 0 0
...o.o.........3...o.o.........3...o.o.........&#x  & |  0  0  0  1  0  1  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  1 0  0  1  0  0  0  0  1  1  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  1  0 0 0
...o..o........3...o..o........3...o..o........&#x  & |  0  0  0  1  0  0  1  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  *  * | 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  1 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 0 0
...o...o.......3...o...o.......3...o...o.......&#x  & |  0  0  0  1  0  0  0  1 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  * | 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  1  1 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  1  0 0 0
....x.......... ............... ...............     & |  0  0  0  0  2  0  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 24  *  *  *  *  *  *  *  *  * | 0 0  0  0  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 1  0  1  0  0  0  0  0 0  0 | 0 0  0  0 0  0  0 1  0  1  0 0  0  0  0  0  0 1 0
....o..o.......3....o..o.......3....o..o.......&#x  & |  0  0  0  0  1  0  0  1 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  * | 0 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  1  0  0  1  0  0  0 0  0 | 0 0  0  0 0  0  0 0  0  1  0 0  1  0  0  0  1 0 0
....o...o......3....o...o......3....o...o......&#x  & |  0  0  0  0  1  0  1  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 48  *  *  *  *  *  *  * | 0 0  0  0  0  0  0  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  1  0 0  0  0  0  0  1 1 0
.....x......... ............... ...............     & |  0  0  0  0  0  2  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 12  *  *  *  *  *  * | 0 0  0  0  0  0  0  0  0  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  2  0  0 0  0 | 0 0  0  0 0  0  0 0  0  2  0 0  0  0  0  0  0 0 1
.....oo........3.....oo........3.....oo........&#x  & |  0  0  0  0  0  1  1  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 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  0  0  2  0  0 0  0  0  0  0  0  2  0 0  0 | 0 0  0  0 0  0  0 0  0  1  0 0  0  1  0  2  0 0 0
.....o.o.......3.....o.o.......3.....o.o.......&#x  & |  0  0  0  0  0  1  0  1 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 48  *  *  *  * | 0 0  0  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  0  0  1  1 0  0 | 0 0  0  0 0  0  0 0  0  2  0 0  0  0  0  1  0 0 0
.....o...o.....3.....o...o.....3.....o...o.....&#x    |  0  0  0  0  0  2  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 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  0  0  0  0  0 0  0  0  0  0  2  0  1 0  0 | 0 0  0  0 0  0  0 0  0  2  0 0  0  0  0  0  0 0 1
............... ......x........ ...............     & |  0  0  0  0  0  0  2  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 24  *  * | 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  0 0  0  0  1  0  0  0  0 1  1 | 0 0  0  0 0  0  0 0  0  0  0 1  0  0  1  0  1 1 0
......oo.......3......oo.......3......oo.......&#x  & |  0  0  0  0  0  0  1  1 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 48  * | 0 0  0  0  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  1  0  1  0 0  1 | 0 0  0  0 0  0  0 0  0  1  0 0  0  0  1  1  1 0 0
............... .......x....... ...............       |  0  0  0  0  0  0  0  2 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 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  2  0  0  0  0 0  2  0  0  0  0  0  0 0  2 | 0 0  0  0 0  0  0 0  0  0  0 0  2  0  2  0  2 0 0
------------------------------------------------------+-------------------------+----------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------------+--------------------------------------------------
x..............3x.............. ...............     & |  6  0  0  0  0  0  0  0 |  3  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 | 8 *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  * *  * | 1 1  0  0 0  0  0 0  0  0  0 0  0  0  0  0  0 0 0
............... x..............3o..............     & |  3  0  0  0  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 | * 8  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  * *  * | 1 0  0  0 1  0  0 0  0  0  0 0  0  0  0  0  0 0 0
xo............. ............... ...............&#x  & |  2  1  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 | * * 24  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  * *  * | 0 1  1  0 0  0  0 0  0  0  0 0  0  0  0  0  0 0 0
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............... xx.x........... ...............&#x  &   2  2  0  2  0  0  0  0 |  0  1  2  0  2  1  0  2  0  0  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 0 0  0  1  0  1  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  0  0  0  0 0  0 | * *  * 24 *  *  * *  *  *  * *  *  *  *  *  * * *
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............... ............... ..ox.o.........&#x  &   0  0  1  2  0  1  0  0 |  0  0  0  0  0  0  0  0  0  2  1  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  0  0  0  0  1  0  2 0  0  1  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0 0  0 | * *  *  * *  *  * *  *  * 24 *  *  *  *  *  * * *
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