Acronym iku
Name (1,0,20,0,0)-diminished vertex-first-rotunda of ex,
(full-symmetrical) icosiena-diminished vertex-first-rotunda of ex,
axially-icosahedral ursachoron ofx3xoo5ooo&#xt,
ike-based ursulate
 
 ©
Circumradius (1+sqrt(5))/2 = 1.618034
Lace city
in approx. ASCII-art
            o5o       
                   o5x
                      
                      
o5o                   
                   f5o
            o5f       
                      
o5x                   
                      
                      
                   x5x
                      
                      
x5o                   
                      
            f5o       
                   o5f
o5o                   
                      
                      
                   x5o
            o5o       
        x3o   o3f f3o   o3x        
                                   		with
                                   		F=ff=f+x
                                   
                                   
   f3o       o3F   F3o       o3f   
                                   
                                   
o3x   x3f F3o   f3f   o3F f3x   x3o
Dihedral angles
Face vector 54, 162, 142, 34
Confer
related CRFs:
tetu   octu   id || f-ike || ike || pt   vertex-first rotunda of ex   ike || doe || id  
uniform relative:
ex  
general polytopal classes:
ursachora   bistratic lace towers  

The axial top-vertex and all 20 vertices of the inscribed doe-layer of the rotunda of ex 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

ofx3xoo5ooo&#xt   → height(1,2) = 1/2
                    height(2,3) = (1+sqrt(5))/4 = 0.809017
(id || pseudo f-ike || ike)

o..3o..5o..     | 30  *  * |  4  2  0  0 |  2  2  1  4  0 | 1  2  2 0
.o.3.o.5.o.     |  * 12  * |  0  5  1  0 |  0  0  5  5  0 | 0  5  1 0
..o3..o5..o     |  *  * 12 |  0  0  1  5 |  0  0  5  0  5 | 0  5  0 1
----------------+----------+-------------+----------------+----------
... x.. ...     |  2  0  0 | 60  *  *  * |  1  1  0  1  0 | 1  1  1 0
oo.3oo.5oo.&#x  |  1  1  0 |  * 60  *  * |  0  0  1  2  0 | 0  2  1 0
.oo3.oo5.oo&#x  |  0  1  1 |  *  * 12  * |  0  0  5  0  0 | 0  5  0 0
..x ... ...     |  0  0  2 |  *  *  * 30 |  0  0  1  0  2 | 0  2  0 1
----------------+----------+-------------+----------------+----------
o..3x.. ...     |  3  0  0 |  3  0  0  0 | 20  *  *  *  * | 1  1  0 0
... x..5o..     |  5  0  0 |  5  0  0  0 |  * 12  *  *  * | 1  0  1 0
ofx ... ...&#xt |  1  2  2 |  0  2  2  1 |  *  * 30  *  * | 0  2  0 0
... xo. ...&#x  |  2  1  0 |  1  2  0  0 |  *  *  * 60  * | 0  1  1 0
..x3..o ...     |  0  0  3 |  0  0  0  3 |  *  *  *  * 20 | 0  1  0 1
----------------+----------+-------------+----------------+----------
o..3x..5o..      30  0  0 | 60  0  0  0 | 20 12  0  0  0 | 1  *  * *
ofx3xoo ...&#xt   3  3  3 |  3  6  3  3 |  1  0  3  3  1 | * 20  * *
... xo.5oo.&#x    5  1  0 |  5  5  0  0 |  0  1  0  5  0 | *  * 12 *
..x3..o5..o       0  0 12 |  0  0  0 30 |  0  0  0  0 20 | *  *  * 1

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