Acronym	ikepy, K-4.84
Name	icosahedral pyramid, vertex cap of hexacosachoron
Segmentochoron display / VRML	⭳
Circumradius	(1+sqrt(5))/2 = 1.618034
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex)
Dihedral angles	at {3} between tet and tet:   arccos[-(1+3 sqrt(5))/8] = 164.477512° at {3} between ike and tet:   arccos(sqrt[7+3 sqrt(5)]/4) = 22.238756°
Face vector	13, 42, 50, 21
Confer	uniform relative: ex   segmentochora: peppypy   pappy   mibdipy   teddipy   ambification: ikaid   general polytopal classes: Blind polytopes   segmentochora   fundamental lace prisms
External links

As abstract polytope ikepy is isomorph to gikepy, thereby replacing the base ike by gike.

Incidence matrix according to Dynkin symbol

ox3oo5oo&#x   → height = (sqrt(5)-1)/4 = 0.309017
(pt || ike)

o.3o.5o.    | 1  * ♦ 12  0 | 30  0 | 20 0
.o3.o5.o    | * 12 ♦  1  5 |  5  5 |  5 1
------------+------+-------+-------+-----
oo3oo5oo&#x | 1  1 | 12  * |  5  0 |  5 0
.x .. ..    | 0  2 |  * 30 |  1  2 |  2 1
------------+------+-------+-------+-----
ox .. ..&#x | 1  2 |  2  1 | 30  * |  2 0
.x3.o ..    | 0  3 |  0  3 |  * 20 |  1 1
------------+------+-------+-------+-----
ox3oo ..&#x ♦ 1  3 |  3  3 |  3  1 | 20 *
.x3.o5.o    ♦ 0 12 |  0 30 |  0 20 |  * 1