The polyhedron compound of the icosidodecahedron and its dual, the rhombic triacontahedron. The compound can be constructed from an icosidodecahedron of unit edge length by midpoint augmentation with heights
(1)
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(2)
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The resulting solid has edge lengths
(3)
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(4)
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(5)
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(6)
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(7)
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surface area given by the largest positive root of
(8)
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and volume
(9)
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