Acronym ikaid, ike || id, K-4.137 Name icosahedron atop icosidodecahedron,icosahedral cap of rectified hexacosachoron,icosahedral cupola Segmentochoron display Circumradius sqrt[5+2 sqrt(5)] = 3.077684 Lace cityin approx. ASCII-art ``` x5o o5o o5f x5o x5x o5x f5o o5o o5x ``` ``` x3o o3f f3o o3x F=ff=x+f=2x+v o3x x3f F3o f3f o3F f3x x3o ``` Dihedral angles at {3} between oct and oct:   arccos[-(1+3 sqrt(5))/8] = 164.477512° at {3} between ike and oct:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244° at {3} between oct and peppy:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244° at {5} between id and peppy:   36° at {3} between id and oct:   arccos(sqrt[7+3 sqrt(5)]/4) = 22.238756° Confer uniform relative: rox   related CRFs: line || bilbiro   {3} || thawro   related segmentochora: gyepipa pero   papaid   peppia pero   teddi aid   general polytopal classes: segmentochora   fundamental lace prisms Externallinks

As abstract polytope ikaid is isomorphe to gikagid, thereby replacing pentagons by pentagrams, resp. ike by gike, peppy by stappy, and id by gid.

Incidence matrix according to Dynkin symbol

```xo3ox5oo&#x   → height = (sqrt(5)-1)/4 = 0.309017
(ike || id)

o.3o.5o.    | 12  * ♦  5  5  0 |  5  5  5  0  0 | 1  5  1 0
.o3.o5.o    |  * 30 |  0  2  4 |  0  1  4  2  2 | 0  2  2 1
------------+-------+----------+----------------+----------
x. .. ..    |  2  0 | 30  *  * |  2  1  0  0  0 | 1  2  0 0
oo3oo5oo&#x |  1  1 |  * 60  * |  0  1  2  0  0 | 0  2  1 0
.. .x ..    |  0  2 |  *  * 60 |  0  0  1  1  1 | 0  1  1 1
------------+-------+----------+----------------+----------
x.3o. ..    |  3  0 |  3  0  0 | 20  *  *  *  * | 1  1  0 0
xo .. ..&#x |  2  1 |  1  2  0 |  * 30  *  *  * | 0  2  0 0
.. ox ..&#x |  1  2 |  0  2  1 |  *  * 60  *  * | 0  1  1 0
.o3.x ..    |  0  3 |  0  0  3 |  *  *  * 20  * | 0  1  0 1
.. .x5.o    |  0  5 |  0  0  5 |  *  *  *  * 12 | 0  0  1 1
------------+-------+----------+----------------+----------
x.3o.5o.    ♦ 12  0 | 30  0  0 | 20  0  0  0  0 | 1  *  * *
xo3ox ..&#x ♦  3  3 |  3  6  3 |  1  3  3  1  0 | * 20  * *
.. ox5oo&#x ♦  1  5 |  0  5  5 |  0  0  5  0  1 | *  * 12 *
.o3.x5.o    ♦  0 30 |  0  0 60 |  0  0  0 20 12 | *  *  * 1
```