As abstract polytope ikadoe is isomorphic to both, the gissid-gike antiprism and the gissid-gike retroprism,
both having then exactly the same incidences but different heights. Thereby it replaces pentagons by pentagrams resp. does by gissids,
ikes by gikes, and peppies by stappies.
In the taller one of those, the antiprism, the first type vertex figure acts in turn
as a pentagonal antiprism variant, and in the narrower one, the gissid-gike retroprism, that
vertex figure is as a pentagonal retroprism variant instead.
Thence ikadoe then will be the conjugate to that gissid-gike retroprism.
The analysis of the being used lacing facets shows that the half-height section results in a half-edge sized srid.
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
