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  2. Rhombicosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Rhombicosidodecahedron

    Alternatively, if you expand each of five cubes by moving the faces away from the origin the right amount and rotating each of the five 72° around so they are equidistant from each other, without changing the orientation or size of the faces, and patch the pentagonal and triangular holes in the result, you get a rhombicosidodecahedron ...

  3. Gyrate rhombicosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Gyrate_rhombicosidodecahedron

    A gyrate rhombicosidodecahedron with edge length has a surface area by adding all of the area of its faces: [2] (+ + +). Its volume can be calculated by slicing it into two regular pentagonal cupolas and one parabigyrate rhombicosidodecahedron, and adding their volumes: [ 2 ] 60 + 29 5 3 a 3 ≈ 41.615 a 3 . {\displaystyle {\frac {60+29{\sqrt ...

  4. Truncated rhombicosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Truncated...

    In geometry, the truncated rhombicosidodecahedron is a polyhedron, constructed as a truncated rhombicosidodecahedron. It has 122 faces: 12 decagons, 30 octagons, 20 hexagons, and 60 squares. It has 122 faces: 12 decagons, 30 octagons, 20 hexagons, and 60 squares.

  5. Rhombic dodecahedron - Wikipedia

    en.wikipedia.org/wiki/Rhombic_dodecahedron

    3D model of a rhombic dodecahedron. In geometry, the rhombic dodecahedron is a convex polyhedron with 12 congruent rhombic faces.It has 24 edges, and 14 vertices of 2 types. As a Catalan solid, it is the dual polyhedron of the cuboctahedron.

  6. Gyrate bidiminished rhombicosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Gyrate_bidiminished...

    In geometry, the gyrate bidiminished rhombicosidodecahedron is one of the Johnson solids (J 82). A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (that is, they are not Platonic solids , Archimedean solids , prisms , or antiprisms ).

  7. Metabidiminished rhombicosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Metabidiminished...

    In geometry, the metabidiminished rhombicosidodecahedron is one of the Johnson solids (J 81). A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (that is, they are not Platonic solids , Archimedean solids , prisms , or antiprisms ).

  8. Parabidiminished rhombicosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Parabidiminished...

    In geometry, the parabidiminished rhombicosidodecahedron is one of the Johnson solids (J 80). It is also a canonical polyhedron . A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (that is, they are not Platonic solids , Archimedean solids , prisms , or antiprisms ).

  9. Parabigyrate rhombicosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Parabigyrate...

    Alternative Johnson solids, constructed by rotating different cupolae of a rhombicosidodecahedron, are: The gyrate rhombicosidodecahedron (J 72) where only one cupola is rotated; The metabigyrate rhombicosidodecahedron (J 74) where two non-opposing cupolae are rotated; And the trigyrate rhombicosidodecahedron (J 75) where three cupolae are rotated.