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The rhombic icosahedron is a polyhedron shaped like an oblate sphere. Its 20 faces are congruent golden rhombi; 3, 4, or 5 faces meet at each vertex. It has 5 faces (green on top figure) meeting at each of its 2 poles; these 2 vertices lie on its axis of 5-fold symmetry, which is perpendicular to 5 axes of 2-fold symmetry through the midpoints of opposite equatorial edges (example on top figure: most left-hand and most right-hand mid-edges). Its other 10 faces follow its equator, 5 above and 5 below it; each of these 10 rhombi has 2 of its 4 sides lying on this zig-zag skew decagon equator. The rhombic icosahedron has 22 vertices. It has D5d, [2+,10], (2*5) symmetry group, of order 20; thus it has a center of symmetry (since 5 is odd). Even though all its faces are congruent, the rhombic icosahedron is not face-transitive, since one can distinguish whether a particular face is near the equator or near a pole by examining the types of vertices surrounding this face.

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We couldn't find any anagrams for the word rhombic icosahedron.

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rhoeo, rhomb, rhombencephalon, rhombenporphyr, rhombic, rhombical, rhombiform, rhomboclase, rhomboganoid, rhomboganoidei

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"rhombic icosahedron." Anagrams.net. STANDS4 LLC, 2024. Web. 14 May 2024. <https://www.anagrams.net/rhombic%20icosahedron>.

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