Derived Solids

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Snub Icosidodecahedron (canonical)
canonical form
Vertices:  120  (60[5] + 60[5])
Faces:182  (20 equilateral triangles + {60 * 2} isosceles triangles
    + 30 rhombi + 12 regular pentagons)
Edges:300  (60 short + 180 medium + 60 long)
Symmetry:  Chiral Icosahedral  (I)
(values below based on edge-scribed radius = 1)
Short Edge (60):  sqrt(root[24th-order polynomial])    ≈0.28693489698431339084
Medium Edge (180):  sqrt(root[24th-order polynomial])    ≈0.33175498801366960022
Long Edge (60):  sqrt(root[24th-order polynomial])    ≈0.37657507904302580959
Rhombus Length:  sqrt(root[24th-order polynomial])    ≈0.49986130243131586056
Rhombus Width:  sqrt(root[24th-order polynomial])    ≈0.436330341163055976854
Rhombus Angle:  acos(root[24th-order polynomial])    ≈82.235598927 degrees
Edge-scribed Radius:  1
Volume:sqrt(root[24th-order polynomial])    ≈4.1334814499207241664