Simplest Canonical Polyhedra of Each Symmetry Type

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Simplest Canonical Polyhedron with Cs Symmetry
(1 of 2)
Vertices:  6  (1[3] + 2[3] + 2[4] + 1[5])
Faces:7  ({1 + 1} isosceles triangles
    + {2 opposite + 2 opposite} obtuse triangles
    + 1 isosceles trapezoid)
Edges:11  (7 different lengths)
Symmetry:  Reflection  (Cs = C1h = C1v)
Dual Solid:  Simplest Cs (2 of 2)
(values below based on edge-scribed radius = 1)
Edge 1 (1):  sqrt(root[34th-order polynomial])    ≈1.0098178742901231455003
Edge 2 (2):  sqrt(root[34th-order polynomial])    ≈1.7583556228160815837
Edge 3 (2):  sqrt(root[34th-order polynomial])    ≈1.8786323035563270292
Edge 4 (1):  sqrt(root[34th-order polynomial])    ≈2.7474467328225309129
Edge 5 (1):  sqrt(root[34th-order polynomial])    ≈2.7982651841390281996
Edge 6 (2):  sqrt(root[34th-order polynomial])    ≈2.9185418648792736451
Edge 7 (2):  sqrt(root[34th-order polynomial])    ≈3.7873562941454775288
Edge-scribed Radius:  1
Volume:sqrt(root[34th-order polynomial])    ≈4.1331164969232550008