Similarities between Cuboctahedron and Polyhedron
Cuboctahedron and Polyhedron have 28 things in common (in Unionpedia): Abstract polytope, Archimedean solid, Archimedes, Cube, Dual polyhedron, Edge (geometry), Geometry, Graph theory, Icosahedron, Icosidodecahedron, Isogonal figure, Isotoxal figure, Johnson solid, N-skeleton, Norman Johnson (mathematician), Octahedron, Polytope, Quasiregular polyhedron, Rhombicuboctahedron, Stellation, Symmetry group, Tessellation, Tetrahedron, Tetrahemihexahedron, Uniform star polyhedron, Vertex (geometry), Vertex configuration, Vertex figure.
Abstract polytope
In mathematics, an abstract polytope is an algebraic partially ordered set or poset which captures the combinatorial properties of a traditional polytope, but not any purely geometric properties such as angles, edge lengths, etc.
Abstract polytope and Cuboctahedron · Abstract polytope and Polyhedron ·
Archimedean solid
In geometry, an Archimedean solid is one of the 13 solids first enumerated by Archimedes.
Archimedean solid and Cuboctahedron · Archimedean solid and Polyhedron ·
Archimedes
Archimedes of Syracuse (Ἀρχιμήδης) was a Greek mathematician, physicist, engineer, inventor, and astronomer.
Archimedes and Cuboctahedron · Archimedes and Polyhedron ·
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 Cuboctahedron · Cube and Polyhedron ·
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.
Cuboctahedron and Dual polyhedron · Dual polyhedron and Polyhedron ·
Edge (geometry)
In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope.
Cuboctahedron and Edge (geometry) · Edge (geometry) and Polyhedron ·
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.
Cuboctahedron and Geometry · Geometry and Polyhedron ·
Graph theory
In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects.
Cuboctahedron and Graph theory · Graph theory and Polyhedron ·
Icosahedron
In geometry, an icosahedron is a polyhedron with 20 faces.
Cuboctahedron and Icosahedron · Icosahedron and Polyhedron ·
Icosidodecahedron
In geometry, an icosidodecahedron is a polyhedron with twenty (icosi) triangular faces and twelve (dodeca) pentagonal faces.
Cuboctahedron and Icosidodecahedron · Icosidodecahedron and Polyhedron ·
Isogonal figure
In geometry, a polytope (a polygon, polyhedron or tiling, for example) is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries of the figure.
Cuboctahedron and Isogonal figure · Isogonal figure and Polyhedron ·
Isotoxal figure
In geometry, a polytope (for example, a polygon or a polyhedron), or a tiling, is isotoxal or edge-transitive if its symmetries act transitively on its edges.
Cuboctahedron and Isotoxal figure · Isotoxal figure and Polyhedron ·
Johnson solid
In geometry, a Johnson solid is a strictly convex polyhedron, which is not uniform (i.e., not a Platonic solid, Archimedean solid, prism, or antiprism), and each face of which is a regular polygon.
Cuboctahedron and Johnson solid · Johnson solid and Polyhedron ·
N-skeleton
In mathematics, particularly in algebraic topology, the of a topological space X presented as a simplicial complex (resp. CW complex) refers to the subspace Xn that is the union of the simplices of X (resp. cells of X) of dimensions In other words, given an inductive definition of a complex, the is obtained by stopping at the.
Cuboctahedron and N-skeleton · N-skeleton and Polyhedron ·
Norman Johnson (mathematician)
Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.
Cuboctahedron and Norman Johnson (mathematician) · Norman Johnson (mathematician) and Polyhedron ·
Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
Cuboctahedron and Octahedron · Octahedron and Polyhedron ·
Polytope
In elementary geometry, a polytope is a geometric object with "flat" sides.
Cuboctahedron and Polytope · Polyhedron and Polytope ·
Quasiregular polyhedron
In geometry, a quasiregular polyhedron is a semiregular polyhedron that has exactly two kinds of regular faces, which alternate around each vertex.
Cuboctahedron and Quasiregular polyhedron · Polyhedron and Quasiregular polyhedron ·
Rhombicuboctahedron
In geometry, the rhombicuboctahedron, or small rhombicuboctahedron, is an Archimedean solid with eight triangular and eighteen square faces.
Cuboctahedron and Rhombicuboctahedron · Polyhedron and Rhombicuboctahedron ·
Stellation
In geometry, stellation is the process of extending a polygon in two dimensions, polyhedron in three dimensions, or, in general, a polytope in n dimensions to form a new figure.
Cuboctahedron and Stellation · Polyhedron and Stellation ·
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.
Cuboctahedron and Symmetry group · Polyhedron and Symmetry group ·
Tessellation
A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps.
Cuboctahedron and Tessellation · Polyhedron and Tessellation ·
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.
Cuboctahedron and Tetrahedron · Polyhedron and Tetrahedron ·
Tetrahemihexahedron
In geometry, the tetrahemihexahedron or hemicuboctahedron is a uniform star polyhedron, indexed as U4.
Cuboctahedron and Tetrahemihexahedron · Polyhedron and Tetrahemihexahedron ·
Uniform star polyhedron
In geometry, a uniform star polyhedron is a self-intersecting uniform polyhedron.
Cuboctahedron and Uniform star polyhedron · Polyhedron and Uniform star polyhedron ·
Vertex (geometry)
In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.
Cuboctahedron and Vertex (geometry) · Polyhedron and Vertex (geometry) ·
Vertex configuration
In geometry, a vertex configuration by Walter Steurer, Sofia Deloudi, (2009) pp.
Cuboctahedron and Vertex configuration · Polyhedron and Vertex configuration ·
Vertex figure
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
Cuboctahedron and Vertex figure · Polyhedron and Vertex figure ·
The list above answers the following questions
- What Cuboctahedron and Polyhedron have in common
- What are the similarities between Cuboctahedron and Polyhedron
Cuboctahedron and Polyhedron Comparison
Cuboctahedron has 93 relations, while Polyhedron has 210. As they have in common 28, the Jaccard index is 9.24% = 28 / (93 + 210).
References
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