Simplest Canonical Polyhedra of Each Symmetry Type

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Simplest Canonical Polyhedron with Cs Symmetry
(2 of 2)
Vertices:  7  (1[3] + 1[3] + 2[3] + 2[3] + 1[4])
Faces:6  (1 isosceles triangle + 2 opposite acute triangles
    + 2 opposite irregular tetragons + 1 mirror-symmetric pentagon)
Edges:11  (7 different lengths)
Symmetry:  Reflection  (Cs = C1h = C1v)
Dual Solid:  Simplest Cs (1 of 2)
(values below based on edge-scribed radius = 1)
Edge 1 (2):  sqrt(root[34th-order polynomial])    ≈1.2127549163785345388
Edge 2 (2):  sqrt(root[34th-order polynomial])    ≈1.2677400002019117724
Edge 3 (1):  sqrt(root[34th-order polynomial])    ≈1.3270523242606989007
Edge 4 (2):  sqrt(root[34th-order polynomial])    ≈1.4631651312583255486
Edge 5 (1):  sqrt(root[34th-order polynomial])    ≈1.9726817081625627444
Edge 6 (1):  sqrt(root[34th-order polynomial])    ≈2.0538094313368121586
Edge 7 (2):  sqrt(root[34th-order polynomial])    ≈2.3042196462166031684
Edge-scribed Radius:  1
Volume:sqrt(root[34th-order polynomial])    ≈2.4688834863205429376