Acronym  peppy, 5pyr, J2 
Name  pentagonal pyramid 
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Circumradius  sqrt[(5+sqrt(5))/8] = 0.951057 
Vertex figures  [3^{5}], [3,3,5] 
General of army  (is itself convex) 
Colonel of regiment  (is itself locally convex) 
Dual  (topologically selfdual, in different orientation) 
Dihedral angles 

Confer 

External links 
As abstract polytope peppy is isomorph to stappy, thereby replacing the base pentagon by a pentagram.
This polyhedron is an edgefaceting of the icosahedron (ike).
Incidence matrix according to Dynkin symbol
ox5oo&#x → height = sqrt((5sqrt(5))/10) = 0.525731
(pt  {5})
tip o. o.  1 *  5 0  5 0
base .o .o  * 5  1 2  2 1
+++
lace oo5oo&#x  1 1  5 *  2 0
base .x ..  0 2  * 5  1 1
+++
coat ox ..&#x  1 2  2 1  5 *
base .x5.o  0 5  0 5  * 1
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