Acronym ...
Name (0,0,20,0,0)-diminished vertex-first-rotunda of ex,
icosi-diminished vertex-first-rotunda of ex,
mono-augmented axially-icosahedral ursachoron ofxo3xooo5oooo&#xt
Circumradius (1+sqrt(5))/2 = 1.618034
Lace city
in approx. ASCII-art 
                 o5o       
                        o5x
                           
                           
     o5o                   
                        f5o
                 o5f       
                           
     o5x                   
                           
                           
o5o                     x5x
                           
                           
     x5o                   
                           
                 f5o       
                        o5f
     o5o                   
                           
                           
                        x5o
                 o5o       

                o3o                
                                   
        x3o   o3f f3o   o3x        
                                   	with
                                   	F=ff=f+x
                                   
                                   
   f3o       o3F   F3o       o3f   
                                   
                                   
o3x   x3f F3o   f3f   o3F f3x   x3o
Dihedral angles
  • at {5} between teddi and teddi:   144°
  • at {3} between teddi and tet:   arccos[-sqrt(5/8)] = 142.238756°
  • at {3} between peppy and teddi:   120°
  • at {5} between id and peppy:   108°
  • at {3} between id and teddi:   60°
Face vector 55, 174, 172, 53
Confer
related CRFs:
iku   vertex-first rotunda of ex  
related segmentochora:
ikepy  
uniform relative:
ex  
general polytopal classes:
ursachora  

All 20 vertices of the inscribed (orthogonal) doe-layer of that rotunda are missing here. The doe-vertices are already close enough, so that their individual sefas will intersect, resulting in likewise diminished ikes: in teddies.


Incidence matrix according to Dynkin symbol

ofxo3xooo5oooo&#xt   → height(1,2) = 1/2
                    height(2,3) = (1+sqrt(5))/4 = 0.809017
                    height(3,4) = (sqrt(5)-1)/4 = 0.309017
(id || pseudo f-ike || pseudo ike || pt)

o...3o...5o...     | 30  *  * * |  4  2  0  0  0 |  2  2  1  4  0  0 | 1  2  2  0
.o..3.o..5.o..     |  * 12  * * |  0  5  1  0  0 |  0  0  5  5  0  0 | 0  5  1  0
..o.3..o.5..o.     |  *  * 12 * |  0  0  1  5  1 |  0  0  5  0  5  5 | 0  5  0  5
...o3...o5...o     |  *  *  * 1 ♦  0  0  0  0 12 |  0  0  0  0  0 30 | 0  0  0 20
-------------------+------------+----------------+-------------------+-----------
.... x... ....     |  2  0  0 0 | 60  *  *  *  * |  1  1  0  1  0  0 | 1  1  1  0
oo..3oo..5oo..&#x  |  1  1  0 0 |  * 60  *  *  * |  0  0  1  2  0  0 | 0  2  1  0
.oo.3.oo.5.oo.&#x  |  0  1  1 0 |  *  * 12  *  * |  0  0  5  0  0  0 | 0  5  0  0
..x. .... ....     |  0  0  2 0 |  *  *  * 30  * |  0  0  1  0  2  1 | 0  2  0  2
..oo3..oo5..oo&#x  |  0  0  1 1 |  *  *  *  * 12 |  0  0  0  0  0  5 | 0  0  0  5
-------------------+------------+----------------+-------------------+-----------
o...3x... ....     |  3  0  0 0 |  3  0  0  0  0 | 20  *  *  *  *  * | 1  1  0  0
.... x...5o...     |  5  0  0 0 |  5  0  0  0  0 |  * 12  *  *  *  * | 1  0  1  0
ofx. .... ....&#xt |  1  2  2 0 |  0  2  2  1  0 |  *  * 30  *  *  * | 0  2  0  0
.... xo.. ....&#x  |  2  1  0 0 |  1  2  0  0  0 |  *  *  * 60  *  * | 0  1  1  0
..x.3..o. ....     |  0  0  3 0 |  0  0  0  3  0 |  *  *  *  * 20  * | 0  1  0  1
..xo .... ....&#x  |  0  0  2 1 |  0  0  0  1  2 |  *  *  *  *  * 30 | 0  0  0  2
-------------------+------------+----------------+-------------------+-----------
o...3x...5o...     ♦ 30  0  0 0 | 60  0  0  0  0 | 20 12  0  0  0  0 | 1  *  *  *
ofx.3xoo. ....&#xt ♦  3  3  3 0 |  3  6  3  3  0 |  1  0  3  3  1  0 | * 20  *  *
.... xo..5oo..&#x  ♦  5  1  0 0 |  5  5  0  0  0 |  0  1  0  5  0  0 | *  * 12  *
..xo3..oo ....&#x  ♦  0  0  3 1 |  0  0  0  3  3 |  0  0  0  0  1  3 | *  *  * 20

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