Acronym ...
Name xofxxFfooFxfo3xxxoFxxxFoxxx3ofxFoofFxxfox&#xt
Confer
uniform relative:
ex  
related CRFs:
xoofxxFfooFxofo3xxFxoFxxxFoxFxx3ofoxFoofFxxfoox&#xt  

This polychoron either can be derived as a diminishing of the EKF xoofxxFfooFxofo3xxFxoFxxxFoxFxx3ofoxFoofFxxfoox&#xt (F = ff = f+x) by removing both the 3rd and 13th layer. Alternatively these processes could be commutated here: starting from ex in axially tetrahedric subsymmetry, which can be given as xoofoxFfoofxofo 3 oofoxfooofxofoo 3 ofoxfoofFxofoox &#xt, one first deletes the 3rd and 13th layer, i.e. the vertex sets of a vertex inscribed f-scaled oct at the respective heights, resulting in xo.foxFfoofx.fo 3 oo.oxfooofxo.oo 3 of.xfoofFxof.ox &#xt. Thereon one then applies the kaleido faceting wrt. the central node in the (formerly) fifth resp. in the 11th layer, resulting in xo.fxxFfooFx.fo 3 oo.o(-x)fooof(-x)o.oo 3 of.xFoofFxxf.ox &#xt. Finally one applies the Stott expansion wrt. the central node simultanuously in all layers, which reproduces this polychoron alike.


Incidence matrix according to Dynkin symbol

xofxxFfooFxfo3xxxoFxxxFoxxx3ofxFoofFxxfox&#xt   → height(1,2) = height(4,5) = height(6,7) = height(7,8) = height(9,10) = height(12,13) = sqrt[3-sqrt(5)]/4 = 0.218508
                                                  height(5,6) = height(8,9) = sqrt[7-3 sqrt(5)]/4 = 0.135045
                                                  height(2,3) = height(3,4) = height(10,11) = height(11,12) = 1/sqrt(8) = 0.353553
(tut || pseudo inv (f,x)-tut || 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,x)-tut || inv tut)

o............3o............3o............     & | 24  *  *  *  *  *  * |  1  2  2  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 2 1  2  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 | 1 2  1  2 1 0  0  0 0  0  0  0  0  0 0 0
.o...........3.o...........3.o...........     & |  * 24  *  *  *  *  * |  0  0  2  0  2  2  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | 0 0  1  2  0  0  2 1  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 1  1  2 0 1  2  1 0  0  0  0  0  0 0 0
..o..........3..o..........3..o..........     & |  *  * 48  *  *  *  * |  0  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  1  1  1 0  1  0  0  1  1 1  1  1  1  1  1  1  1  1  1 0  0  0  0  0  0  0  0 0  0 | 0 0  1  1 1 0  1  1 1  1  1  1  1  0 0 0
...o.........3...o.........3...o.........     & |  *  *  * 24  *  *  * |  0  0  0  0  0  0  2  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  2  1  2  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 1  1  2 0  1  0  0  0  1 1 0
....o........3....o........3....o........     & |  *  *  *  * 24  *  * |  0  0  0  0  0  0  0  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  2 0  0  1  0  0  0  0  2  2  0 0  0  0  0  0  3  2  2 0  0 | 0 0  1  0 0 0  0  3 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  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  2  1  0  0  2  0  2 0  0  1  2  2  0  2  0 1  2 | 0 0  0  0 0 0  0  1 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  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  2  2  0  2  2 0  2  0  0  2  0  2  1 0  2 | 0 0  0  0 0 0  0  2 0  2  0  2  2  2 0 0
------------------------------------------------+----------------------+----------------------------------------------------------------------+----------------------------------------------------------------------------------------------+-----------------------------------------
x............ ............. .............     & |  2  0  0  0  0  0  0 | 12  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 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 | 1 2  1  0 0 0  0  0 0  0  0  0  0  0 0 0
............. x............ .............     & |  2  0  0  0  0  0  0 |  * 24  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 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 | 1 1  0  1 1 0  0  0 0  0  0  0  0  0 0 0
oo...........3oo...........3oo...........&#x  & |  1  1  0  0  0  0  0 |  *  * 48  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 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 1  1  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 |  *  *  * 48  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 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  1  1 1 0  0  0 0  0  0  0  0  0 0 0
............. .x........... .............     & |  0  2  0  0  0  0  0 |  *  *  *  * 24  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  0  1  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 1  0  1 0 1  1  0 0  0  0  0  0  0 0 0
.oo..........3.oo..........3.oo..........&#x  & |  0  1  1  0  0  0  0 |  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  0  0  0  0  1 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  1  1 0 0  1  1 0  0  0  0  0  0 0 0
.o.o.........3.o.o.........3.o.o.........&#x  & |  0  1  0  1  0  0  0 |  *  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 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 1  1  1 0  0  0  0  0  0 0 0
............. ..x.......... .............     & |  0  0  2  0  0  0  0 |  *  *  *  *  *  *  * 24  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  0  0  1  0  0 0  1  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  1  0 1  1  0  1  0  0 0 0
............. ............. ..x..........     & |  0  0  2  0  0  0  0 |  *  *  *  *  *  *  *  * 24  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  0  0  0  1  0 0  0  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  1  0 1 0  0  0 1  0  1  0  0  0 0 0
..oo.........3..oo.........3..oo.........&#x  & |  0  0  1  1  0  0  0 |  *  *  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  *  *  *  * | 0 0  0  0  0  0  0 0  0  0  0  1  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  1  1 0  1  0  0  0  0 0 0
..o.o........3..o.o........3..o.o........&#x  & |  0  0  1  0  1  0  0 |  *  *  *  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  *  *  * | 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  1  0 0 0  0  1 0  0  1  0  1  0 0 0
..o..o.......3..o..o.......3..o..o.......&#x  & |  0  0  1  0  0  1  0 |  *  *  *  *  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  *  * | 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 1  0  1  1  1  0 0 0
..o...o......3..o...o......3..o...o......&#x  & |  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  1  1  0  1  1 0  0  0  0  0  0  0  0 0  0 | 0 0  0  0 0 0  0  1 0  1  0  1  1  0 0 0
...x......... ............. .............     & |  0  0  0  2  0  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  * 24  *  *  *  *  *  *  *  *  * | 0 0  0  0  0  0  0 0  0  1  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 1  0  1 0  0  0  0  0  0 1 0
...o..o......3...o..o......3...o..o......&#x  & |  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  1  0  0  0 0  1  0  0  1  0  0  0 0  0 | 0 0  0  0 0 0  0  1 0  1  0  0  0  1 0 0
...o...o.....3...o...o.....3...o...o.....&#x  & |  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  1  1  1  0  0  0 0  0 | 0 0  0  0 0 0  0  1 0  0  0  0  0  1 1 0
....x........ ............. .............     & |  0  0  0  0  2  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 12  *  *  *  *  *  * | 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  0  0  2  0  0 0  0 | 0 0  1  0 0 0  0  2 0  0  0  0  0  0 0 1
....oo.......3....oo.......3....oo.......&#x  & |  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  2  0  0 0  0  0  0  0  0  2  0 0  0 | 0 0  0  0 0 0  0  1 0  0  1  0  2  0 0 0
....o.o......3....o.o......3....o.o......&#x  & |  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  1  0 0  0  0  0  0  0  1  1 0  0 | 0 0  0  0 0 0  0  2 0  0  0  0  1  0 0 0
....o...o....3....o...o....3....o...o....&#x    |  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  2  0  1 0  0 | 0 0  0  0 0 0  0  2 0  0  0  0  0  0 0 1
............. .....x....... .............     & |  0  0  0  0  0  2  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 24  *  * | 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 1  0  0  1  0  1 1 0
.....oo......3.....oo......3.....oo......&#x  & |  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  1 0  0  0  0  1  0  1  0 0  1 | 0 0  0  0 0 0  0  1 0  0  0  1  1  1 0 0
............. ......x...... .............       |  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  2  0  0  0  0 0  2  0  0  0  0  0  0 0  2 | 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 |  3  3  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
............. x............3o............     & |  3  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 | * 8  *  *  *  *  * *  *  *  *  *  * *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  * *  * | 1 0  0  0 1 0  0  0 0  0  0  0  0  0 0 0
xo........... ............. .............&#x  & |  2  1  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 | * * 24  *  *  *  * *  *  *  *  *  * *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  * *  * | 0 1  1  0 0 0  0  0 0  0  0  0  0  0 0 0
............. xx........... .............&#x  & |  2  2  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 | * *  * 24  *  *  * *  *  *  *  *  * *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  * *  * | 0 1  0  1 0 0  0  0 0  0  0  0  0  0 0 0
............. x.x.......... .............&#x  & |  2  0  2  0  0  0  0 |  0  1  0  2  0  0  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | * *  *  * 24  *  * *  *  *  *  *  * *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  * *  * | 0 0  0  1 1 0  0  0 0  0  0  0  0  0 0 0
............. ............. o.x..........&#x  & |  1  0  2  0  0  0  0 |  0  0  0  2  0  0  0  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | * *  *  *  * 24  * *  *  *  *  *  * *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  * *  * | 0 0  1  0 1 0  0  0 0  0  0  0  0  0 0 0
ooo..........3ooo..........3ooo..........&#x  & |  1  1  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 | * *  *  *  *  * 48 *  *  *  *  *  * *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  * *  * | 0 0  1  1 0 0  0  0 0  0  0  0  0  0 0 0
.o...........3.x........... .............     & |  0  3  0  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 | * *  *  *  *  *  * 8  *  *  *  *  * *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  * *  * | 0 1  0  0 0 1  0  0 0  0  0  0  0  0 0 0
............. .xx.......... .............&#x  & |  0  2  2  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 | * *  *  *  *  *  * * 24  *  *  *  * *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  * *  * | 0 0  0  1 0 0  1  0 0  0  0  0  0  0 0 0
.o.x......... ............. .............&#x  & |  0  1  0  2  0  0  0 |  0  0  0  0  0  0  2  0  0  0  0  0  0  1  0  0  0  0  0  0  0  0  0 | * *  *  *  *  *  * *  * 24  *  *  * *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  * *  * | 0 0  0  0 0 1  0  1 0  0  0  0  0  0 0 0
............. .x.o......... .............&#x  & |  0  2  0  1  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 | * *  *  *  *  *  * *  *  * 24  *  * *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  * *  * | 0 0  0  0 0 1  1  0 0  0  0  0  0  0 0 0
.ooo.........3.ooo.........3.ooo.........&#x  & |  0  1  1  1  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 | * *  *  *  *  *  * *  *  *  * 48  * *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  * *  * | 0 0  0  0 0 0  1  1 0  0  0  0  0  0 0 0
.of.x........ ............. .............&#xt & |  0  1  2  0  2  0  0 |  0  0  0  0  0  2  0  0  0  0  2  0  0  0  0  0  1  0  0  0  0  0  0 | * *  *  *  *  *  * *  *  *  *  * 24 *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  * *  * | 0 0  1  0 0 0  0  1 0  0  0  0  0  0 0 0
............. ..x..........3..x..........     & |  0  0  6  0  0  0  0 |  0  0  0  0  0  0  0  3  3  0  0  0  0  0  0  0  0  0  0  0  0  0  0 | * *  *  *  *  *  * *  *  *  *  *  * 8  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  * *  * | 0 0  0  0 1 0  0  0 1  0  0  0  0  0 0 0
............. ..xo......... .............&#x  & |  0  0  2  1  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 | * *  *  *  *  *  * *  *  *  *  *  * * 24  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  * *  * | 0 0  0  0 0 0  1  0 0  1  0  0  0  0 0 0
............. ............. ..x.o........&#x  & |  0  0  2  0  1  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 | * *  *  *  *  *  * *  *  *  *  *  * *  * 24  *  *  *  *  *  *  * *  *  *  *  *  *  *  * *  * | 0 0  1  0 0 0  0  0 0  0  1  0  0  0 0 0
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