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    Canonical Tetragonal Antiwedge

    Visual representation

    Combinatorial properties

    vertices | 6 edges | 10 faces | 6 (4 triangles, 2 quadrilaterals)

    Edge lengths

    1 (2 edges) | 1/2 (1 + sqrt(5)) (4 edges) | root of x^4 - 6 x^3 + 12 x^2 - 4 x - 4 near x = 1.16812 (1 edge) | root of x^4 - 4 x^3 + 7 x^2 - 6 x + 1 near x = 1.78615 (2 edges) | root of x^4 - 2 x^3 - 4 x + 4 near x = 2.40419 (1 edge)

    Geometric properties

    1/3 sqrt(1/2 (9 + 3 sqrt(5) + sqrt(118 + 74 sqrt(5))))≈1.34463

    sqrt(root of x^16 - 144 x^15 + 8000 x^14 - 238336 x^13 + 4471808 x^12 - 59056128 x^11 + 582574080 x^10 - 4450287616 x^9 + 27899592704 x^8 - 131002793984 x^7 + 465349640192 x^6 - 1506711437312 x^5 + 3103331975168 x^4 - 2996008124416 x^3 + 1021665345536 x^2 - 98784247808 x + 4294967296 near x = 60.3084)≈7.76585

    sqrt(sqrt(ϕ) + 1)/2≈0.753661

    Net

    Skeleton graph

    6-path complement graph

    Dual polyhedron

    tetragonal antiwedge

    Dual skeleton graph

    6-path complement graph

    Properties

    canonical | chiral | convex | rigid | self-dual | simple