The gyrate bidiminished rhombicosidodecahedron is a convex equilateral solid that is Johnson solid .

The unit gyrate bidiminished 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 metabidiminished
rhombicosidodecahedron and parabidiminished
rhombicosidodecahedron , from which it differs only by the position at which the
cupolas are removed.

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.
Cite this as:
Weisstein, Eric W. "Gyrate Bidiminished Rhombicosidodecahedron."
From MathWorld --A Wolfram Web Resource. https://mathworld.wolfram.com/GyrateBidiminishedRhombicosidodecahedron.html

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