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Diminishings here take place overlappingly by removing ikepies (monostratic or shallow diminishings) resp. biscexes (bistratic or deep diminishings). Its relation to the base ex best is seen in the according layer description in axially tetrahedral subsymmetry. In fact this polychoron occurs there as x.o.o….o.x.fo-3-o.f.x....f.o.oo-3-o.o.f....x.f.ox-&#xt.

The above picture only shows the front view. This is why the mibdi cells and further tets are not visible there.

Incidence matrix according to Dynkin symbol

xoooxfo3ofxfooo3oofxfox&#xt   → height(1,2) = height(5,6) = 1/sqrt(8) = 0.353553
                                height(2,3) = height(4,5) = sqrt[3+sqrt(5)]/4 = 0.572061
                                height(3,4) = sqrt[7+3 sqrt(5)]/4 = 0.925615
                                height(6,7) = sqrt[3-sqrt(5)]/4 = 0.218508
(tet || pseudo f-oct || pseudo inv (f,x)-tut || pseudo inv (x,f)-tut || pseudo (x,f)-co || pseudo f-tet || inv tet)

o......3o......3o......     | 4 *  *  *  * * * | 3  3  0  0  0 0  0  0  0  0  0 0 | 3 3  3 0 0  0  0  0 0  0  0  0 0 | 1 3 1 0 0 0 0 0
.o.....3.o.....3.o.....     | * 6  *  *  * * * | 0  2  2  0  0 0  0  0  0  0  0 0 | 0 1  4 1 0  0  0  0 0  0  0  0 0 | 0 2 2 0 0 0 0 0
..o....3..o....3..o....     | * * 12  *  * * * | 0  0  1  2  1 0  0  0  0  0  0 0 | 0 0  2 1 1  2  0  0 0  0  0  0 0 | 0 1 2 1 0 0 0 0
...o...3...o...3...o...     | * *  * 12  * * * | 0  0  0  0  1 1  2  0  0  0  0 0 | 0 0  0 1 0  2  1  2 0  0  0  0 0 | 0 0 2 1 1 0 0 0
....o..3....o..3....o..     | * *  *  * 12 * * | 0  0  0  0  0 0  2  2  1  1  0 0 | 0 0  0 0 0  1  2  2 1  2  1  0 0 | 0 0 1 1 2 1 0 0
.....o.3.....o.3.....o.     | * *  *  *  * 4 * | 0  0  0  0  0 0  0  0  3  0  3 0 | 0 0  0 0 0  0  0  3 0  0  3  3 0 | 0 0 1 0 3 0 1 0
......o3......o3......o     | * *  *  *  * * 4 ♦ 0  0  0  0  0 0  0  0  0  3  3 3 | 0 0  0 0 0  0  0  0 0  3  3  6 3 | 0 0 0 0 3 1 3 1
----------------------------+------------------+----------------------------------+----------------------------------+----------------
x...... ....... .......     | 2 0  0  0  0 0 0 | 6  *  *  *  * *  *  *  *  *  * * | 2 1  0 0 0  0  0  0 0  0  0  0 0 | 1 2 0 0 0 0 0 0
oo.....3oo.....3oo.....&#x  | 1 1  0  0  0 0 0 | * 12  *  *  * *  *  *  *  *  * * | 0 1  2 0 0  0  0  0 0  0  0  0 0 | 0 2 1 0 0 0 0 0
.oo....3.oo....3.oo....&#x  | 0 1  1  0  0 0 0 | *  * 12  *  * *  *  *  *  *  * * | 0 0  2 1 0  0  0  0 0  0  0  0 0 | 0 1 2 0 0 0 0 0
....... ..x.... .......     | 0 0  2  0  0 0 0 | *  *  * 12  * *  *  *  *  *  * * | 0 0  1 0 1  1  0  0 0  0  0  0 0 | 0 1 1 1 0 0 0 0
..oo...3..oo...3..oo...&#x  | 0 0  1  1  0 0 0 | *  *  *  * 12 *  *  *  *  *  * * | 0 0  0 1 0  2  0  0 0  0  0  0 0 | 0 0 2 1 0 0 0 0
....... ....... ...x...     | 0 0  0  2  0 0 0 | *  *  *  *  * 6  *  *  *  *  * * | 0 0  0 1 0  0  0  2 0  0  0  0 0 | 0 0 2 0 1 0 0 0
...oo..3...oo..3...oo..&#x  | 0 0  0  1  1 0 0 | *  *  *  *  * * 24  *  *  *  * * | 0 0  0 0 0  1  1  1 0  0  0  0 0 | 0 0 1 1 1 0 0 0
....x.. ....... .......     | 0 0  0  0  2 0 0 | *  *  *  *  * *  * 12  *  *  * * | 0 0  0 0 0  0  1  0 1  1  0  0 0 | 0 0 0 1 1 1 0 0
....oo.3....oo.3....oo.&#x  | 0 0  0  0  1 1 0 | *  *  *  *  * *  *  * 12  *  * * | 0 0  0 0 0  0  0  2 0  0  1  0 0 | 0 0 1 0 2 0 0 0
....o.o3....o.o3....o.o&#x  | 0 0  0  0  1 0 1 | *  *  *  *  * *  *  *  * 12  * * | 0 0  0 0 0  0  0  0 0  1  2  0 0 | 0 0 0 0 2 1 0 0
.....oo3.....oo3.....oo&#x  | 0 0  0  0  0 1 1 | *  *  *  *  * *  *  *  *  * 12 * | 0 0  0 0 0  0  0  0 0  0  1  2 0 | 0 0 0 0 2 0 1 0
....... ....... ......x     | 0 0  0  0  0 0 2 | *  *  *  *  * *  *  *  *  *  * 6 | 0 0  0 0 0  0  0  0 0  0  0  2 2 | 0 0 0 0 1 0 2 1
----------------------------+------------------+----------------------------------+----------------------------------+----------------
x......3o...... .......     | 3 0  0  0  0 0 0 | 3  0  0  0  0 0  0  0  0  0  0 0 | 4 *  * * *  *  *  * *  *  *  * * | 1 1 0 0 0 0 0 0
xo..... ....... .......&#x  | 2 1  0  0  0 0 0 | 1  2  0  0  0 0  0  0  0  0  0 0 | * 6  * * *  *  *  * *  *  *  * * | 0 2 0 0 0 0 0 0
....... ofx.... .......&#xt | 1 2  2  0  0 0 0 | 0  2  2  1  0 0  0  0  0  0  0 0 | * * 12 * *  *  *  * *  *  *  * * | 0 1 1 0 0 0 0 0
....... ....... .ofx...&#xt | 0 1  2  2  0 0 0 | 0  0  2  0  2 1  0  0  0  0  0 0 | * *  * 6 *  *  *  * *  *  *  * * | 0 0 2 0 0 0 0 0
..o....3..x.... .......     | 0 0  3  0  0 0 0 | 0  0  0  3  0 0  0  0  0  0  0 0 | * *  * * 4  *  *  * *  *  *  * * | 0 1 0 1 0 0 0 0
....... ..xfo.. .......&#xt | 0 0  2  2  1 0 0 | 0  0  0  1  2 0  2  0  0  0  0 0 | * *  * * * 12  *  * *  *  *  * * | 0 0 1 1 0 0 0 0
...ox.. ....... .......&#x  | 0 0  0  1  2 0 0 | 0  0  0  0  0 0  2  1  0  0  0 0 | * *  * * *  * 12  * *  *  *  * * | 0 0 0 1 1 0 0 0
....... ....... ...xfo.&#xt | 0 0  0  2  2 1 0 | 0  0  0  0  0 1  2  0  2  0  0 0 | * *  * * *  *  * 12 *  *  *  * * | 0 0 1 0 1 0 0 0
....x..3....o.. .......     | 0 0  0  0  3 0 0 | 0  0  0  0  0 0  0  3  0  0  0 0 | * *  * * *  *  *  * 4  *  *  * * | 0 0 0 1 0 1 0 0
....x.o ....... .......&#x  | 0 0  0  0  2 0 1 | 0  0  0  0  0 0  0  1  0  2  0 0 | * *  * * *  *  *  * * 12  *  * * | 0 0 0 0 1 1 0 0
....ooo3....ooo3....ooo&#x  | 0 0  0  0  1 1 1 | 0  0  0  0  0 0  0  0  1  1  1 0 | * *  * * *  *  *  * *  * 12  * * | 0 0 0 0 2 0 0 0
....... ....... .....ox&#x  | 0 0  0  0  0 1 2 | 0  0  0  0  0 0  0  0  0  0  2 1 | * *  * * *  *  *  * *  *  * 12 * | 0 0 0 0 1 0 1 0
....... ......o3......x     | 0 0  0  0  0 0 3 | 0  0  0  0  0 0  0  0  0  0  0 3 | * *  * * *  *  *  * *  *  *  * 4 | 0 0 0 0 0 0 1 1
----------------------------+------------------+----------------------------------+----------------------------------+----------------
x......3o......3o......     ♦ 4 0  0  0  0 0 0 | 6  0  0  0  0 0  0  0  0  0  0 0 | 4 0  0 0 0  0  0  0 0  0  0  0 0 | 1 * * * * * * *  (yellow)
xoo....3ofx.... .......&#xt ♦ 3 3  3  0  0 0 0 | 3  6  3  3  0 0  0  0  0  0  0 0 | 1 3  3 0 1  0  0  0 0  0  0  0 0 | * 4 * * * * * *  (rose)
....... ofxfoo.3oofxfo.&#xt ♦ 1 3  6  6  3 1 0 | 0  3  6  3  6 3  6  0  3  0  0 0 | 0 0  3 3 0  3  0  3 0  0  0  0 0 | * * 4 * * * * *  (light yellow)
..oox..3..xfo.. .......&#xt ♦ 0 0  3  3  3 0 0 | 0  0  0  3  3 0  6  3  0  0  0 0 | 0 0  0 0 1  3  3  0 1  0  0  0 0 | * * * 4 * * * *  (light blue)
...oxfo ....... ...xfox&#xt ♦ 0 0  0  2  4 2 2 | 0  0  0  0  0 1  4  2  4  4  4 1 | 0 0  0 0 0  0  2  2 0  2  4  2 0 | * * * * 6 * * *
....x.o3....o.o .......&#x  ♦ 0 0  0  0  3 0 1 | 0  0  0  0  0 0  0  3  0  3  0 0 | 0 0  0 0 0  0  0  0 1  3  0  0 0 | * * * * * 4 * *  (green)
....... .....oo3.....ox&#x  ♦ 0 0  0  0  0 1 3 | 0  0  0  0  0 0  0  0  0  0  3 3 | 0 0  0 0 0  0  0  0 0  0  0  3 1 | * * * * * * 4 *
......o3......o3......x     ♦ 0 0  0  0  0 0 4 | 0  0  0  0  0 0  0  0  0  0  0 6 | 0 0  0 0 0  0  0  0 0  0  0  0 4 | * * * * * * * 1