The parabididiminished rhombicosidodecahedron is a convex equilateral solid that is Johnson solid
The unit parabididiminished rhombicosidodecahedron 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 metabidiminished
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. "Parabidiminished Rhombicosidodecahedron."
From MathWorld https://mathworld.wolfram.com/ParabidiminishedRhombicosidodecahedron.html
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