Johnson Solids (Page 4)
(box: x-ray)
(F: faces)
(slider: perspective)
(image: L=rotate R=zoom)
(M: metrics)
Please use a browser that supports "canvas"
(J72)
Gyrate Rhombicosidodecahedron
Vertices:
60 ({10 * 4 + 5 * 4}[4])
Faces:
62 ({5 * 4} equilateral triangles + {10 + 5 * 4} squares
+ {5 * 2 + 1 * 2} regular pentagons)
Edges:
120
Symmetry:
5-fold Pyramidal (C5v)
(values below based on edge length = 1)
Circumscribed Radius:
sqrt(11+4*sqrt(5))/2
≈2.2329505094156900495004
Midscribed Radius:
sqrt(2*(5+2*sqrt(5)))/2
≈2.1762508994828215111
Volume:
(60+29*sqrt(5))/3
≈41.6153237824979670653