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  
External
links
polytopewiki  

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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