The metabidiminished rhombicosidodecahedron is a convex equilateral solid that is Johnson solid
The unit metabidiminished 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 gyrate
bidiminished 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. "Metabidiminished Rhombicosidodecahedron."
From MathWorld https://mathworld.wolfram.com/MetabidiminishedRhombicosidodecahedron.html
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