In geometry, the rectified truncated cube is a polyhedron, constructed as a rectified, truncated cube. It has 38 faces: 8 equilateral triangles, 24 isosceles triangles, and 6 octagons.
Topologically, the triangles corresponding to the cube's vertices are always equilateral, although the octagons, while having equal edge lengths, do not have the same edge lengths with the equilateral triangles, having different but alternating angles, causing the other triangles to be isosceles instead.
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In geometry, the rectifiedtruncatedcube is a polyhedron, constructed as a rectified, truncatedcube. It has 38 faces: 8 equilateral triangles, 24 isosceles...
alternately colored truncated cubic cells. A double symmetry construction can be made by placing octahedra on the truncatedcubes, resulting in a nonuniform...
diagonals of its square sides. With Oh symmetry, order 48, it is a rectifiedcube or rectified octahedron (Norman Johnson) With Td symmetry, order 24, it is...
each vertex. A regular octahedron is the dual polyhedron of a cube. It is also a rectified tetrahedron, a square bipyramid in any of three orthogonal orientations...
of the cube. The remaining space consists of four equal irregular tetrahedra with a volume of 1/6 of that of the cube, each. The rectifiedcube is the...
has truncated square tiling, truncated cuboctahedron, and truncated octahedron facets in a mirrored sphenoid vertex figure. The alternated rectified square...
short for truncated cuboctahedral rhombus, with cuboctahedral rhombus being his name for a rhombic dodecahedron. There are different truncations of a rhombic...
an octahedron. A truncated tetrahedron is the Goldberg polyhedron GIII(1,1), containing triangular and hexagonal faces. A truncated tetrahedron can be...
truncatedcubes, 16 cuboctahedra, 24 octagonal prisms, and 32 triangular prisms. The runcitruncated tesseract may be constructed from the truncated tesseract...
fill space with the truncatedcube, truncated tetrahedron and triangular prism as a truncated runcic cubic honeycomb. Truncated small rhombicuboctahedron...
also be constructed as a rectified rhombicuboctahedron. Expanded rhombic dodecahedron Rectified rhombicuboctahedron Rectified small rhombicuboctahedron...
The icosidodecahedron is a rectified dodecahedron and also a rectified icosahedron, existing as the full-edge truncation between these regular solids...
Depending on how much is truncated (see table below), different Platonic and Archimedean (and other) solids can be created. If the truncation is exactly deep enough...
dodecahedron is the third in an infinite set of truncated trapezohedra which can be constructed by truncating the two axial vertices of a pentagonal trapezohedron...
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