Johnson Solids (Page 2)

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(J37) Elongated Square Gyrobicupola

Vertices:   24  ({16 + 8}[4]) Faces: 26  (8 equilateral triangles + {8 * 2 + 2} squares) Edges: 48 Symmetry:   4-fold Antiprismatic  (D4v) Square-Square Angle:   acos(−sqrt(2)/2)     135 degrees Square-Triangle Angle:   acos(−sqrt(6)/3)     ≈144.735610317 degrees Dual Solid:   Gyrate Deltoidal Icositetrahedron (values below based on edge length = 1) Circumscribed Radius:   sqrt(5+2*sqrt(2))/2     ≈1.3989663259659067020 Midscribed Radius:   sqrt(2*(2+sqrt(2)))/2     ≈1.3065629648763765279 Square Center Radius:   (1+sqrt(2))/2     ≈1.2071067811865475244 Triangle Center Radius:   (3*sqrt(3)+sqrt(6))/6     ≈1.2742736942483016631 Volume: (12+10*sqrt(2))/3     ≈8.7140452079103168293 References: [1] Duncan M. Y. Sommerville, Semi-regular Networks of the Plane in Absolute Geometry, Transactions of the Royal Society of Edinburgh 41 (1905), 725-747, +12 plates.