Acronym idati, id || ti, K-4.158
Name icosidodecahedron atop truncated icosahedron,
icosidodecahedral cap of small rhombated hexacosachoron
Segmentochoron display
Circumradius sqrt[19+8 sqrt(5)] = 6.073594
Lace city
in approx. ASCII-art
        o5x   f5o  x5x  o5f   x5o        
o5x  o5u  f5x   x5u   u5x   x5f  u5o  x5o
Dihedral angles
  • at {4} between pip and tricu:   arccos(-sqrt[(5+2 sqrt(5))/10]) = 166.717474°
  • at {3} between tricu and tricu:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {5} between id and pip:   162°
  • at {3} between id and tricu:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
  • at {6} between ti and tricu:   arccos(sqrt[7+3 sqrt(5)]/4) = 22.238756°
  • at {5} between pip and ti:   18°
Confer
uniform relative:
srix  
general polytopal classes:
segmentochora  

Incidence matrix according to Dynkin symbol

ox3xx5oo&#x   → height = (sqrt(5)-1)/4 = 0.309017
(id || ti)

o.3o.5o.    | 30  * |  4  2  0  0 |  2  2  1  4  0  0 | 1  2  2 0
.o3.o5.o    |  * 60 |  0  1  1  2 |  0  0  1  2  2  1 | 0  2  1 1
------------+-------+-------------+-------------------+----------
.. x. ..    |  2  0 | 60  *  *  * |  1  1  0  1  0  0 | 1  1  1 0
oo3oo5oo&#x |  1  1 |  * 60  *  * |  0  0  1  2  0  0 | 0  2  1 0
.x .. ..    |  0  2 |  *  * 30  * |  0  0  1  0  2  0 | 0  2  0 1
.. .x ..    |  0  2 |  *  *  * 60 |  0  0  0  1  1  1 | 0  1  1 1
------------+-------+-------------+-------------------+----------
o.3x. ..    |  3  0 |  3  0  0  0 | 20  *  *  *  *  * | 1  1  0 0
.. x.5o.    |  5  0 |  5  0  0  0 |  * 12  *  *  *  * | 1  0  1 0
ox .. ..&#x |  1  2 |  0  2  1  0 |  *  * 30  *  *  * | 0  2  0 0
.. xx ..&#x |  2  2 |  1  2  0  1 |  *  *  * 60  *  * | 0  1  1 0
.x3.x ..    |  0  6 |  0  0  3  3 |  *  *  *  * 20  * | 0  1  0 1
.. .x5.o    |  0  5 |  0  0  0  5 |  *  *  *  *  * 12 | 0  0  1 1
------------+-------+-------------+-------------------+----------
o.3x.5o.     30  0 | 60  0  0  0 | 20 12  0  0  0  0 | 1  *  * *
ox3xx ..&#x   3  6 |  3  6  3  3 |  1  0  3  3  1  0 | * 20  * *
.. xx5oo&#x   5  5 |  5  5  0  5 |  0  1  0  5  0  1 | *  * 12 *
.x3.x5.o      0 60 |  0  0 30 60 |  0  0  0  0 20 12 | *  *  * 1

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