Acronym ...
Name tetracontadisdiminished ex
Circumradius (1+sqrt(5))/2 = 1.618034
Lace city
in approx. ASCII-art
            o5o           o5o            
                   o5x                   
                                         
                                         
o5o                                   o5o
                   f5o                   
            o5f           o5f            
                                         
o5x                                   o5x
                                         
                                         
                   x5x                   
                                         
                                         
x5o                                   x5o
                                         
            f5o           f5o            
                   o5f                   
o5o                                   o5o
                                         
                                         
                   x5o                   
            o5o           o5o            
                                         
 |           |      |      |           +-- ike
 |           |      |      +-------------- f-ike
 |           |      +--------------------- id
 |           +---------------------------- f-ike
 +---------------------------------------- ike
        x3o   o3f f3o   o3x        
                                   		with
                                   		F=ff=f+x
                                   
                                   
   f3o       o3F   F3o       o3f   
                                   
                                   
o3x   x3f F3o   f3f   o3F f3x   x3o		- id
                                   
                                   
   f3o       o3F   F3o       o3f   		- f-ike
                                   
                                   
                                   
                                   
        x3o   o3f f3o   o3x        		- ike
                                   
           \
            +---------------------- teddi
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Confer
uniform relative:
ex  
related segmentochora:
ikepy  
related CRFs:
iku   42-diminished sidpixhi  

This polychoron is obtained from ex by chopping off several ikepies. Two of these are antipodal, the others are situated at two parallel layers of 20 each. These cut off vertices then are situated pairwise at neighbouring ones within each layer, respectively at one but neighbouring ones wrt. the polar ones. Therefore the to be introduced ikes within each layer of 20 would pairwise intersect, diminishing those into teddis, while the polar ones remain undiminished. Thus from all the former 600 tets of ex here only the 60 equatorial ones survive.


Incidence matrix according to Dynkin symbol

xfofx3ooxoo5ooooo&#xt   → height(1,2) = height(4,5) = (1+sqrt(5))/4 = 0.809017
                          height(2,3) = height(3,4) = 1/2

o....3o....5o....     & | 24  *  * |  5  1   0  0  0 |  5  5   0  0  0 | 1  5  0
.o...3.o...5.o...     & |  * 24  * |  0  1   5  1  0 |  0  5   5  5  0 | 0  5  5
..o..3..o..5..o..       |  *  * 30 |  0  0   4  0  4 |  0  2   8  2  2 | 0  4  4
------------------------+----------+-----------------+-----------------+--------
x.... ..... .....     & |  2  0  0 | 60  *   *  *  * |  2  1   0  0  0 | 1  2  0
oo...3oo...5oo...&#x  & |  1  1  0 |  * 24   *  *  * |  0  5   0  0  0 | 0  5  0
.oo..3.oo..5.oo..&#x  & |  0  1  1 |  *  * 120  *  * |  0  1   2  1  0 | 0  2  2
.o.o.3.o.o.5.o.o.&#x    |  0  2  0 |  *  *   * 12  * |  0  0   0  5  0 | 0  0  5
..... ..x.. .....       |  0  0  2 |  *  *   *  * 60 |  0  0   2  0  1 | 0  2  1
------------------------+----------+-----------------+-----------------+--------
x....3o.... .....     & |  3  0  0 |  3  0   0  0  0 | 40  *   *  *  * | 1  1  0
xfo.. ..... .....&#xt & |  2  2  1 |  1  2   2  0  0 |  * 60   *  *  * | 0  2  0
..... .ox.. .....&#x  & |  0  1  2 |  0  0   2  0  1 |  *  * 120  *  * | 0  1  1
.ooo.3.ooo.5.ooo.&#x    |  0  2  1 |  0  0   2  1  0 |  *  *   * 60  * | 0  0  2
..o..3..x.. .....       |  0  0  3 |  0  0   0  0  3 |  *  *   *  * 20 | 0  2  0
------------------------+----------+-----------------+-----------------+--------
x....3o....5o....     &  12  0  0 | 30  0   0  0  0 | 20  0   0  0  0 | 2  *  *
xfo..3oox.. .....&#xt &   3  3  3 |  3  3   6  0  3 |  1  3   3  0  1 | * 40  *
..... .oxo. .....&#x      0  2  2 |  0  0   4  1  1 |  0  0   2  2  0 | *  * 60

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