Acronym ...
Name pentagonal butterfly wedge,
blend of 2 pentagonal pyramids,
half of blend of 2 pentagonal antiprisms
 
Circumradius sqrt[(5+sqrt(5))/8] = 0.951057
Vertex figure [33,5], [3,5,3/2,5/4], and [32,5]
Lace city
in approx. ASCII-art
 o   o 
   f   
x     x
Coordinates (τ/2, 1/2, 0)   & even permutations, all changes of sign, but last coordinate non-negative
where τ = (1+sqrt(5))/2
Dihedral angles
(at margins)
  • between {3} and {3}:   arccos(-sqrt(5)/3) = 138.189685°
  • between {3} and {5} (of pap):   arccos(-sqrt[(5-2 sqrt(5))/15]) = 100.812317°
  • between {3} and {5} (of peppy):   arccos(sqrt[(5+2 sqrt(5))/15]) = 37.377368°
Confer
uniform relatives:
ike  
blend-component:
peppy  
compounds:
2pap-blend  

Incidence matrix

2 * * | 2 2 0 0 | 1 2 1  [33,5]
* 2 * | 2 0 2 0 | 2 2 0  [3,5,3/2,5/4]
* * 4 | 0 1 1 1 | 1 1 1  [32,5]
------+---------+------
1 1 0 | 4 * * * | 1 1 0
1 0 1 | * 4 * * | 0 1 1
0 1 1 | * * 4 * | 1 1 0
0 0 2 | * * * 2 | 1 0 1
------+---------+------
1 2 2 | 2 0 2 1 | 2 * *
1 1 1 | 1 1 1 0 | * 4 *
1 0 2 | 0 2 0 1 | * * 2

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