The bigyrate diminished rhombicosidodecahedron is a convex equilateral solid that is Johnson solid
The unit bigyrate diminished rhombicosidodecahedron has volume
(1)
and Dehn invariant
where the first expression uses the basis of Conway et al. (1999). It can be dissected into the diminished
rhombicosidodecahedron , metagyrate
diminished rhombicosidodecahedron , and paragyrate
diminished rhombicosidodecahedron , from which it differs only by the relative
positions of the two removed cupolas.
See also Diminished Polyhedron ,
Small Rhombicosidodecahedron
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References Conway, J. H.; Radin, C.; and Sadun, L. "On Angles Whose Squared Trigonometric Functions Are Rational." Discr. Computat. Geom. 22 ,
321-332, 1999. Johnson, N. W. "Convex Polyhedra with Regular
Faces." Canad. J. Math. 18 , 169-200, 1966. Referenced
on Wolfram|Alpha Bigyrate Diminished
Rhombicosidodecahedron
Cite this as:
Weisstein, Eric W. "Bigyrate Diminished Rhombicosidodecahedron."
From MathWorld https://mathworld.wolfram.com/BigyrateDiminishedRhombicosidodecahedron.html
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