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    Space-filling Polyhedron

    Polyhedra with available data

    acute golden rhombohedron | Bilinski dodecahedron | cube | elongated dodecahedron | equilateral elongated gyrobifastigium | equilateral gyrobifastigium | Escher solid | hemicube | obtuse golden rhombohedron | plesiohedral gyrobifastigium | equilateral triangular prism | equilateral hexagonal prism | rhombic dodecahedron | stereohedral elongated square dipyramid | ten-of-diamonds decahedron | trapezo-rhombic dodecahedron | triakis truncated tetrahedron | truncated octahedron (total: 18)

    Visual representations

    Combinatorial properties

    | vertices | edges | faces acute golden rhombohedron | 8 | 12 | 6 (6 quadrilaterals) Bilinski dodecahedron | 14 | 24 | 12 (12 quadrilaterals) cube | 8 | 12 | 6 (6 quadrilaterals) elongated dodecahedron | 18 | 28 | 12 (8 quadrilaterals, 4 hexagons) equilateral elongated gyrobifastigium | 12 | 18 | 8 (4 quadrilaterals, 4 pentagons) equilateral gyrobifastigium | 8 | 14 | 8 (4 triangles, 4 quadrilaterals) Escher solid | 26 | 72 | 48 (48 triangles) hemicube | 7 | 11 | 6 (2 triangles, 4 quadrilaterals) obtuse golden rhombohedron | 8 | 12 | 6 (6 quadrilaterals) plesiohedral gyrobifastigium | 8 | 14 | 8 (4 triangles, 4 quadrilaterals) equilateral triangular prism | 6 | 9 | 5 (2 triangles, 3 quadrilaterals) equilateral hexagonal prism | 12 | 18 | 8 (6 quadrilaterals, 2 hexagons) rhombic dodecahedron | 14 | 24 | 12 (12 quadrilaterals) stereohedral elongated square dipyramid | 10 | 20 | 12 (8 triangles, 4 quadrilaterals) ten-of-diamonds decahedron | 8 | 16 | 10 (8 triangles, 2 quadrilaterals) trapezo-rhombic dodecahedron | 14 | 24 | 12 (12 quadrilaterals) triakis truncated tetrahedron | 16 | 30 | 16 (12 triangles, 4 hexagons) truncated octahedron | 24 | 36 | 14 (6 quadrilaterals, 8 hexagons)

    Edge lengths

    1 (12 edges)

    1 (24 edges)

    1 (12 edges)

    1 (28 edges)

    1 (18 edges)

    1 (14 edges)

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

    1 (2 edges) | 2 (5 edges) | sqrt(5) (4 edges)

    1 (12 edges)

    1 (8 edges) | sqrt(2) (6 edges)