"Expanded octahedron" redirects here. For the tensegrity structure, see Jessen's icosahedron.
Rhombicuboctahedron
Type
Archimdean Uniform polyhedron
Faces
26
Edges
48
Vertices
24
Vertex configuration
Symmetry group
Octahedral symmetry
Dual polyhedron
Deltoidal icositetrahedron
Vertex figure
Net
In geometry, the rhombicuboctahedron, or small rhombicuboctahedron, is a polyhedron with eight triangular, six square, and twelve rectangular faces. There are 24 identical vertices, with one triangle, one square, and two rectangles meeting at each one. If all the rectangles are themselves square (equivalently, all the edges are the same length, ensuring the triangles are equilateral), it is an Archimedean solid. The polyhedron has octahedral symmetry, like the cube and octahedron. Its dual is called the deltoidal icositetrahedron or trapezoidal icositetrahedron, although its faces are not really true trapezoids.
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In geometry, the rhombicuboctahedron, or small rhombicuboctahedron, is a polyhedron with eight triangular, six square, and twelve rectangular faces. There...
with Schläfli symbol tr{4,3}, and Coxeter diagram . Nonconvex great rhombicuboctahedron - a uniform star polyhedron, with Schläfli symbol r{4,3/2}, and Coxeter...
The truncated rhombicuboctahedron is a polyhedron, constructed as a truncation of the rhombicuboctahedron. It has 50 faces consisting of 18 octagons,...
It is also known as pseudo-rhombicuboctahedron because many mathematicians mistakenly constructed a rhombicuboctahedron. It is not considered to be an...
a 14th polyhedron, the elongated square gyrobicupola (or pseudo-rhombicuboctahedron), meets a weaker definition of an Archimedean solid, in which "identical...
In geometry, the nonconvex great rhombicuboctahedron is a nonconvex uniform polyhedron, indexed as U17. It has 26 faces (8 triangles and 18 squares),...
t{8} is a hexadecagon, {16}. A 3D analog of the octagon can be the rhombicuboctahedron with the triangular faces on it like the replaced edges, if one considers...
constructed as a rectified rhombicuboctahedron. Expanded rhombic dodecahedron Rectified rhombicuboctahedron Rectified small rhombicuboctahedron Rhombirhombicuboctahedron...
In geometry, the pseudo great rhombicuboctahedron is one of the two pseudo uniform polyhedra, the other being the convex elongated square gyrobicupola...
In geometry, the truncated cuboctahedron or great rhombicuboctahedron is an Archimedean solid, named by Kepler as a truncation of a cuboctahedron. It...
The snub rhombicuboctahedron is a polyhedron, constructed as a truncated rhombicuboctahedron. It has 74 faces: 18 squares, and 56 triangles. It can also...
solid in question, or between the bases in the case of Bi- solids. A rhombicuboctahedron can thus be described as an elongated square orthobicupola. Gyroelongated[z]...
solids, including the rhombicuboctahedron, in Pacioli's Divina proportione. According to one scholar, in the rhombicuboctahedron featured in the portrait...
kites. The deltoidal icositetrahedron, whose dual is the (uniform) rhombicuboctahedron, is tightly related to the pseudo-deltoidal icositetrahedron, whose...
Europe. It is thought that Leonardo da Vinci may have painted the rhombicuboctahedron. Exhaustive 2007 study by Fritjof Capra shows that Leonardo was a...
three-dimensional version of the octagram is the nonconvex great rhombicuboctahedron (quasirhombicuboctahedron), which can be thought of as a quasicantellated...
In particular we can get regular octagons (truncated cube). The rhombicuboctahedron is obtained by cutting off both corners and edges to the correct...
W85 may refer to: W85 (nuclear warhead) Nonconvex great rhombicuboctahedron W85 heavy machine gun W85, a classification in masters athletics This disambiguation...
landing positions. Note that this design is not isohedral. 18 Rounded rhombicuboctahedron Eighteen faces are squares. The eight triangular faces are rounded...
layout of the faces of the (small) rhombicuboctahedron under projection to 2 dimensions. The rhombicuboctahedron is also constructed from the cube or...
2006. The library's main architectural component has the shape of a rhombicuboctahedron. The height of the building is 73.6 metres (241.5 feet) and weight...
diagram, , having half of the vertices of the cantellated cube (rhombicuboctahedron), . There are two dual positions of this construction, and combining...
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