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.