Simplest Canonical Polyhedra of Each Symmetry Type

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Simplest Canonical Polyhedron with C11v Symmetry
(Hendecagonal Pyramid)
Vertices:  12  (11[3] + 1[11])
Faces:12  (11 isosceles triangles + 1 regular hendecagon)
Edges:22  (11 short + 11 long)
Symmetry:  11-fold Pyramidal  (C11v)
Dual Solid:  Hendecagonal Pyramid (itself)
(values below based on edge-scribed radius = 1)
Short Edge (11):  sqrt(root[(x^5)−8*(x^4)−1664*(x^3)    
    −15360*(x^2)+102400*x−32768])    
≈0.58115138286959583481
Long Edge (11):  sqrt(root[(x^5)−72*(x^4)+1088*(x^3)    
    −1024*(x^2)−28672*x−32768])    
≈7.1734638990630628076
Edge-scribed Radius:  1
Volume:root[243*(x^5)−35640*(x^4)+1463616*(x^3)    
    −24532992*(x^2)+179908608*x−479756288]    
≈7.4849294507101031873