Acronym ikepy, K-4.84
Name icosahedral pyramid,
vertex cap of hexacosachoron
Segmentochoron display
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°
Confer
uniform relative:
ex  
segmentochora:
peppypy   pappy   mibdipy   teddipy  
general polytopal classes:
Blind polytopes   segmentochora   fundamental lace prisms  

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

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