![]() It has 10 faces on the polar axis with 10 faces following the equator. The rhombic icosahedron is a polyhedron composed of 20 rhombic faces, of which three, four, or five meet at each vertex.As with any crossed quadrilateral, the sum of its interior angles is 720, allowing for internal angles to appear on the outside and exceed 180. The rhombic enneacontahedron is a polyhedron composed of 90 rhombic faces, with three, five, or six rhombi meeting at each vertex. A crossed rectangle may be considered equiangular if right and left turns are allowed.It is nonconvex with 60 golden rhombic faces with icosahedral symmetry. The rhombic hexecontahedron is a stellation of the rhombic triacontahedron.The great rhombic triacontahedron is a nonconvex isohedral, isotoxal polyhedron with 30 intersecting rhombic faces.The rhombic triacontahedron is a convex polyhedron with 30 golden rhombi (rhombi whose diagonals are in the golden ratio) as its faces.The rhombic dodecahedron is a convex polyhedron with 12 congruent rhombi as its faces.A rhombohedron (also called a rhombic hexahedron) is a three-dimensional figure like a cuboid (also called a rectangular parallelepiped), except that its 3 pairs of parallel faces are up to 3 types of rhombi instead of rectangles.Three-dimensional analogues of a rhombus include the bipyramid and the bicone as a surface of revolution.Ĭonvex polyhedra with rhombi include the infinite set of rhombic zonohedrons, which can be seen as projective envelopes of hypercubes.Identical rhombi can tile the 2D plane in three different ways, including, for the 60° rhombus, the rhombille tiling.One of the five 2D lattice types is the rhombic lattice, also called centered rectangular lattice.K = p ⋅ q 2 This is a special case of the superellipse, with exponent 1. ![]() Quadrilateral, trapezoid, parallelogram, kite ![]()
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