Acronym iktum
Name bistratic icosahedron-first cap of truncated hexacosachoron,
ike-based tutsatope,
ike-based tutism
 
 ©
Circumradius sqrt[(23+9 sqrt(5))/2] = 4.643523
Lace city
in approx. ASCII-art
        x5o
           
           
    o5o    
        u5o
           
           
           
        x5f
           
o5o        
    u5o    
           
           
x5o     u5x
           
           
           
           
           
o5x     x5u
           
           
    o5u    
o5o        
           
        f5x
           
           
           
        o5u
    o5o    
           
           
        o5x
Dihedral angles
  • at {6} between tut and tut:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {3} between ike and tut:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
  • at {3} between peppy and tut:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
  • at {5} between peppy and ti:   36°
  • at {6} between ti and tut:   arccos(sqrt[7+3 sqrt(5)]/4) = 22.238756°
Confer
uniform relative:
tex  
general polytopal classes:
tutsatopes   bistratic lace towers  

Incidence matrix according to Dynkin symbol

xux3oox5ooo&#xt   → both heights = (sqrt(5)-1)/4 = 0.309017
(ike || pseudo u-ike || ti)

o..3o..5o..     | 12  *  * |  5  1  0  0  0 |  5  5  0  0  0 | 1  5  0 0
.o.3.o.5.o.     |  * 12  * |  0  1  5  0  0 |  0  5  5  0  0 | 0  5  1 0
..o3..o5..o     |  *  * 60 |  0  0  1  1  2 |  0  1  2  2  1 | 0  2  1 1
----------------+----------+----------------+----------------+----------
x.. ... ...     |  2  0  0 | 30  *  *  *  * |  2  1  0  0  0 | 1  2  0 0
oo.3oo.5oo.&#x  |  1  1  0 |  * 12  *  *  * |  0  5  0  0  0 | 0  5  0 0
.oo3.oo5.oo&#x  |  0  1  1 |  *  * 60  *  * |  0  1  2  0  0 | 0  2  1 0
..x ... ...     |  0  0  2 |  *  *  * 30  * |  0  1  0  2  0 | 0  2  0 1
... ..x ...     |  0  0  2 |  *  *  *  * 60 |  0  0  1  1  1 | 0  1  1 1
----------------+----------+----------------+----------------+----------
x..3o.. ...     |  3  0  0 |  3  0  0  0  0 | 20  *  *  *  * | 1  1  0 0
xux ... ...&#xt |  2  2  2 |  1  2  2  1  0 |  * 30  *  *  * | 0  2  0 0
... .ox ...&#x  |  0  1  2 |  0  0  2  0  1 |  *  * 60  *  * | 0  1  1 0
..x3..x ...     |  0  0  6 |  0  0  0  3  3 |  *  *  * 20  * | 0  1  0 1
... ..x5..o     |  0  0  5 |  0  0  0  0  5 |  *  *  *  * 12 | 0  0  1 1
----------------+----------+----------------+----------------+----------
x..3o..5o..      12  0  0 | 30  0  0  0  0 | 20  0  0  0  0 | 1  *  * *
xux3oox ...&#xt   3  3  6 |  3  3  6  3  3 |  1  3  3  1  0 | * 20  * *
... .ox5.oo&#x    0  1  5 |  0  0  5  0  5 |  0  0  5  0  1 | *  * 12 *
..x3..x5..o       0  0 60 |  0  0  0 30 60 |  0  0  0 20 12 | *  *  * 1

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