Similarities between Octahedron and Uniform 4-polytope
Octahedron and Uniform 4-polytope have 23 things in common (in Unionpedia): Antiprism, Convex uniform honeycomb, Coxeter element, Coxeter–Dynkin diagram, Cube, Cuboctahedron, Dual polyhedron, Fundamental domain, Geometry, Harold Scott MacDonald Coxeter, Hexagonal prism, Hyperplane, Icosidodecahedron, Order (group theory), Platonic solid, Rectification (geometry), Schläfli symbol, Symmetry group, Tesseract, Tetrahedron, Truncated octahedron, Truncated tetrahedron, Wythoff construction.
Antiprism
In geometry, an n-sided antiprism is a polyhedron composed of two parallel copies of some particular n-sided polygon, connected by an alternating band of triangles.
Antiprism and Octahedron · Antiprism and Uniform 4-polytope ·
Convex uniform honeycomb
In geometry, a convex uniform honeycomb is a uniform tessellation which fills three-dimensional Euclidean space with non-overlapping convex uniform polyhedral cells.
Convex uniform honeycomb and Octahedron · Convex uniform honeycomb and Uniform 4-polytope ·
Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
Coxeter element and Octahedron · Coxeter element and Uniform 4-polytope ·
Coxeter–Dynkin diagram
In geometry, a Coxeter–Dynkin diagram (or Coxeter diagram, Coxeter graph) is a graph with numerically labeled edges (called branches) representing the spatial relations between a collection of mirrors (or reflecting hyperplanes).
Coxeter–Dynkin diagram and Octahedron · Coxeter–Dynkin diagram and Uniform 4-polytope ·
Cube
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.
Cube and Octahedron · Cube and Uniform 4-polytope ·
Cuboctahedron
In geometry, a cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces.
Cuboctahedron and Octahedron · Cuboctahedron and Uniform 4-polytope ·
Dual polyhedron
In geometry, any polyhedron is associated with a second dual figure, where the vertices of one correspond to the faces of the other and the edges between pairs of vertices of one correspond to the edges between pairs of faces of the other.
Dual polyhedron and Octahedron · Dual polyhedron and Uniform 4-polytope ·
Fundamental domain
Given a topological space and a group acting on it, the images of a single point under the group action form an orbit of the action.
Fundamental domain and Octahedron · Fundamental domain and Uniform 4-polytope ·
Geometry
Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
Geometry and Octahedron · Geometry and Uniform 4-polytope ·
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
Harold Scott MacDonald Coxeter and Octahedron · Harold Scott MacDonald Coxeter and Uniform 4-polytope ·
Hexagonal prism
In geometry, the hexagonal prism is a prism with hexagonal base.
Hexagonal prism and Octahedron · Hexagonal prism and Uniform 4-polytope ·
Hyperplane
In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.
Hyperplane and Octahedron · Hyperplane and Uniform 4-polytope ·
Icosidodecahedron
In geometry, an icosidodecahedron is a polyhedron with twenty (icosi) triangular faces and twelve (dodeca) pentagonal faces.
Icosidodecahedron and Octahedron · Icosidodecahedron and Uniform 4-polytope ·
Order (group theory)
In group theory, a branch of mathematics, the term order is used in two unrelated senses.
Octahedron and Order (group theory) · Order (group theory) and Uniform 4-polytope ·
Platonic solid
In three-dimensional space, a Platonic solid is a regular, convex polyhedron.
Octahedron and Platonic solid · Platonic solid and Uniform 4-polytope ·
Rectification (geometry)
In Euclidean geometry, rectification or complete-truncation is the process of truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points.
Octahedron and Rectification (geometry) · Rectification (geometry) and Uniform 4-polytope ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
Octahedron and Schläfli symbol · Schläfli symbol and Uniform 4-polytope ·
Symmetry group
In group theory, the symmetry group of an object (image, signal, etc.) is the group of all transformations under which the object is invariant with composition as the group operation.
Octahedron and Symmetry group · Symmetry group and Uniform 4-polytope ·
Tesseract
In geometry, the tesseract is the four-dimensional analogue of the cube; the tesseract is to the cube as the cube is to the square.
Octahedron and Tesseract · Tesseract and Uniform 4-polytope ·
Tetrahedron
In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.
Octahedron and Tetrahedron · Tetrahedron and Uniform 4-polytope ·
Truncated octahedron
In geometry, the truncated octahedron is an Archimedean solid.
Octahedron and Truncated octahedron · Truncated octahedron and Uniform 4-polytope ·
Truncated tetrahedron
In geometry, the truncated tetrahedron is an Archimedean solid.
Octahedron and Truncated tetrahedron · Truncated tetrahedron and Uniform 4-polytope ·
Wythoff construction
In geometry, a Wythoff construction, named after mathematician Willem Abraham Wythoff, is a method for constructing a uniform polyhedron or plane tiling.
Octahedron and Wythoff construction · Uniform 4-polytope and Wythoff construction ·
The list above answers the following questions
- What Octahedron and Uniform 4-polytope have in common
- What are the similarities between Octahedron and Uniform 4-polytope
Octahedron and Uniform 4-polytope Comparison
Octahedron has 105 relations, while Uniform 4-polytope has 145. As they have in common 23, the Jaccard index is 9.20% = 23 / (105 + 145).
References
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