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    Self-dual Polyhedron

    Members

    canonical square pyramid | canonical pentagonal pyramid | canonical hexagonal pyramid | canonical heptagonal pyramid | canonical octagonal pyramid | canonical nonagonal pyramid | canonical decagonal pyramid | cube-octahedron compound | first cube-octahedron 5-compound | Goddard-Henning enneahedron | equilateral square pyramid | equilateral pentagonal pyramid | tetragonal antiwedge | regular tetrahedron | first tetrahedron 8-compound | second tetrahedron 8-compound | third tetrahedron 8-compound | fourth tetrahedron 8-compound | first tetrahedron 18-compound | first tetrahedron 50-compound | ... (total: 36)

    Visual representations

    Combinatorial properties

    | vertices | edges | faces canonical square pyramid | 5 | 8 | 5 (4 triangles, 1 quadrilateral) canonical pentagonal pyramid | 6 | 10 | 6 (5 triangles, 1 pentagon) canonical hexagonal pyramid | 7 | 12 | 7 (6 triangles, 1 hexagon) canonical heptagonal pyramid | 8 | 14 | 8 (7 triangles, 1 heptagon) canonical octagonal pyramid | 9 | 16 | 9 (8 triangles, 1 octagon) canonical nonagonal pyramid | 10 | 18 | 10 (9 triangles, 1 nonagon) canonical decagonal pyramid | 11 | 20 | 11 (10 triangles, 1 decagon) cube-octahedron compound | 14 | 24 | 14 (8 triangles, 6 quadrilaterals) first cube-octahedron 5-compound | 50 | 120 | 70 (40 triangles, 30 quadrilaterals) Goddard-Henning enneahedron | 9 | 16 | 9 (4 triangles, 5 quadrilaterals) equilateral square pyramid | 5 | 8 | 5 (4 triangles, 1 quadrilateral) equilateral pentagonal pyramid | 6 | 10 | 6 (5 triangles, 1 pentagon) tetragonal antiwedge | 6 | 10 | 6 (4 triangles, 2 quadrilaterals) regular tetrahedron | 4 | 6 | 4 (4 triangles) first tetrahedron 8-compound | 32 | 48 | 32 (32 triangles) second tetrahedron 8-compound | 32 | 48 | 32 (32 triangles) third tetrahedron 8-compound | 26 | 48 | 32 (32 triangles) fourth tetrahedron 8-compound | 32 | 48 | 32 (32 triangles) first tetrahedron 18-compound | 32 | 108 | 72 (72 triangles) first tetrahedron 50-compound | 140 | 300 | 200 (200 triangles) second tetrahedron 50-compound | 80 | 300 | 200 (200 triangles) third tetrahedron 50-compound | 92 | 300 | 200 (200 triangles) fourth tetrahedron 4-compound | 14 | 24 | 16 (16 triangles) fourth tetrahedron 4-compound | 16 | 24 | 16 (16 triangles) fourth tetrahedron 4-compound | 16 | 24 | 16 (16 triangles) first tetrahedron 70-compound | 140 | 420 | 280 (280 triangles) first tetrahedron 6-compound | 24 | 36 | 24 (24 triangles) third tetrahedron 6-compound | 20 | 36 | 24 (24 triangles) first tetrahedron 10-compound | 20 | 60 | 40 (40 triangles) second tetrahedron 10-compound | 32 | 60 | 40 (40 triangles) first tetrahedron 12-compound | 48 | 72 | 48 (48 triangles) second tetrahedron 12-compound | 48 | 72 | 48 (48 triangles) first tetrahedron 20-compound | 38 | 120 | 80 (80 triangles) first tetrahedron 24-compound | 78 | 144 | 96 (96 triangles) first tetrahedron 24-compound | 80 | 156 | 104 (104 triangles) first tetrahedron 2-compound | 8 | 12 | 8 (8 triangles)

    Edge lengths

    1 (4 edges) | 1/2 (2 + sqrt(2)) (4 edges)

    1 (5 edges) | 1/2 (3 + sqrt(5)) (5 edges)

    1 (6 edges) | 2 + sqrt(3) (6 edges)

    1 (7 edges) | root of x^3 - 6 x^2 + 5 x - 1 near x = 5.04892 (7 edges)

    1 (8 edges) | root of 2 x^4 - 16 x^3 + 20 x^2 - 8 x + 1 near x = 6.56854 (8 edges)

    1 (9 edges) | root of x^3 - 9 x^2 + 6 x - 1 near x = 8.29086 (9 edges)

    1 (10 edges) | root of x^4 - 12 x^3 + 19 x^2 - 8 x + 1 near x = 10.2159 (10 edges)

    1 (12 edges) | sqrt(2) (12 edges)

    1 (60 edges) | sqrt(2) (60 edges)

    1 (8 edges) | 3/2 (4 edges) | 1/2 (1 + sqrt(3)) (4 edges)