Acronym ikadoe (alt.: ikap), ike || doe, K-4.78
Name icosahedron atop dodecahedron,
icosahedral antiprism,
dodecahedral antiprism,
segment of vertex-first hexacosachoron
 
Segmentochoron display
Circumradius (1+sqrt(5))/2 = 1.618034
Lace city
in approx. ASCII-art
  o5o  o5x      x5o  o5o  
                          
x5o      f5o  o5f      o5x
       x3o   o3f f3o   o3x       
                                 
                                 
o3o o3f   f3x       x3f   f3o o3o
Dihedral angles
  • at {3} between tet and tet:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {3} between ike and tet:   arccos[-sqrt(5/8)] = 142.238756°
  • at {3} between peppy and tet:   arccos[-sqrt(5/8)] = 142.238756°
  • at {5} between doe and peppy:   72°
Confer
uniform relative:
ex  
related segmentochora:
papadoe   teddi adoe   mibdiadoe  
general polytopal classes:
segmentochora   fundamental lace prisms  
External
links
polytopewiki  

As abstract polytope ikadoe is isomorphic to gissidagike, thereby replacing pentagons by pentagrams resp. replacing does by gissids, ikes by gikes, and peppies by stappies.


Incidence matrix according to Dynkin symbol

xo3oo5ox&#x   → height = 1/2
(ike || doe)


o.3o.5o.    | 12  *   5  5  0 |  5 10  5  0 | 1  5  5  1 0
.o3.o5.o    |  * 20 |  0  3  3 |  0  3  6  3 | 0  1  3  3 1
------------+-------+----------+-------------+-------------
x. .. ..    |  2  0 | 30  *  * |  2  2  0  0 | 1  2  1  0 0
oo3oo5oo&#x |  1  1 |  * 60  * |  0  2  2  0 | 0  1  2  1 0
.. .. .x    |  0  2 |  *  * 30 |  0  0  2  2 | 0  0  1  2 1
------------+-------+----------+-------------+-------------
x.3o. ..    |  3  0 |  3  0  0 | 20  *  *  * | 1  1  0  0 0
xo .. ..&#x |  2  1 |  1  2  0 |  * 60  *  * | 0  1  1  0 0
.. .. ox&#x |  1  2 |  0  2  1 |  *  * 60  * | 0  0  1  1 0
.. .o5.x    |  0  5 |  0  0  5 |  *  *  * 12 | 0  0  0  1 1
------------+-------+----------+-------------+-------------
x.3o.5o.     12  0 | 30  0  0 | 20  0  0  0 | 1  *  *  * *
xo3oo ..&#x   3  1 |  3  3  0 |  1  3  0  0 | * 20  *  * *
xo .. ox&#x   2  2 |  1  4  1 |  0  2  2  0 | *  * 30  * *
.. oo5ox&#x   1  5 |  0  5  5 |  0  0  5  1 | *  *  * 12 *
.o3.o5.x      0 20 |  0  0 30 |  0  0  0 12 | *  *  *  * 1

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