Acronym ikadoe (alt.: ikap), ike || doe, K-4.78 Name icosahedron atop dodecahedron,icosahedral antiprism,dodecahedral antiprism Segmentochoron display Circumradius (1+sqrt(5))/2 = 1.618034 Lace cityin approx. ASCII-art ``` o5o o5x x5o o5o x5o f5o o5f o5x ``` 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

This one also happens to be the second stratum of ex in vertex first orientation.

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
```