Acronym hoddated ex
Name (shallow-)hexa-octa-diminished deep-tetra-diminished hexacosachoron
 
 ©
Circumradius (1+sqrt(5))/2 = 1.618034
Confer
uniform relative:
ex  
related CRFs:
ikepy   biscex  

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

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