Acronym  stappy, 5/2pyr 
Name 
pentagrammic pyramid, stellated pentagonal pyramid 
©  
Circumradius  sqrt[(5sqrt(5))/8] = 0.587785 
Vertex figures  [3^{5/2}], [3,3,5/2] 
General of army  ov5oo&#x 
Colonel of regiment  (is itself locally convex) 
Dihedral angles 

Confer  
External links 
As abstract polytope stappy is isomorph to peppy, thereby replacing the base pentagram by a pentagon.
This polyhedron is an edgefaceting of the small stellated dodecahedron (sissid).
Incidence matrix according to Dynkin symbol
ox5/2oo&#x → height = sqrt((5+sqrt(5))/10) = 0.850651
(pt  {5/2})
tip o. o.  1 *  5 0  5 0
base .o .o  * 5  1 2  2 1
+++
lace oo5/2oo&#x  1 1  5 *  2 0
base .x ..  0 2  * 5  1 1
+++
coat ox ..&#x  1 2  2 1  5 *
base .x5/2.o  0 5  0 5  * 1
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