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    Rhombic Dodecahedron Stellations

    Polyhedra with available data

    first rhombic dodecahedron stellation | second rhombic dodecahedron stellation | third rhombic dodecahedron stellation

    Visual representations

    Combinatorial properties

    | vertices | edges | faces first rhombic dodecahedron stellation | 26 | 72 | 48 (48 triangles) second rhombic dodecahedron stellation | 50 | 120 | 72 (48 triangles, 24 quadrilaterals) third rhombic dodecahedron stellation | 74 | 120 | 48 (24 quadrilaterals, 24 hexagons)

    Edge lengths

    1 (48 edges) | 2/sqrt(3) (24 edges)

    1 (96 edges) | 2/sqrt(3) (24 edges)

    1 (96 edges) | 2/sqrt(3) (24 edges)

    Geometric properties

    | volume first rhombic dodecahedron stellation | 32/(3 sqrt(3)) second rhombic dodecahedron stellation | 64/(3 sqrt(3)) third rhombic dodecahedron stellation | 32/sqrt(3) | surface area first rhombic dodecahedron stellation | 16 sqrt(2) second rhombic dodecahedron stellation | 32 sqrt(2) third rhombic dodecahedron stellation | 48 sqrt(2) | inradius first rhombic dodecahedron stellation | sqrt(2/3) second rhombic dodecahedron stellation | sqrt(2/3) third rhombic dodecahedron stellation | sqrt(2/3)

    Skeleton graphs

    | skeleton graph name first rhombic dodecahedron stellation | disdyakis dodecahedral graph second rhombic dodecahedron stellation | (not a named graph) third rhombic dodecahedron stellation | (not a named graph)

    Dual skeleton graphs

    | dual skeleton name first rhombic dodecahedron stellation | great rhombicuboctahedral graph second rhombic dodecahedron stellation | (not a named graph) third rhombic dodecahedron stellation | (not a named graph)

    Common properties

    amphichiral | concave | rigid | simple | stellation

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