Similarities between Regular icosahedron and Tetrahedron
Regular icosahedron and Tetrahedron have 41 things in common (in Unionpedia): Alternating group, American Mathematical Monthly, Antiprism, Conformal map, Coxeter element, Coxeter–Dynkin diagram, Digon, Dihedral angle, Distance-regular graph, Distance-transitive graph, Dodecahedron, Dual polyhedron, Face (geometry), Geometry, Graph (discrete mathematics), Hamiltonian path, Hyperbolic space, K-vertex-connected graph, List of finite spherical symmetry groups, N-skeleton, Net (polyhedron), Octahedron, Orbifold notation, Orthographic projection, Planar graph, Platonic graph, Platonic solid, Polyhedron, Polytope compound, Projection (linear algebra), ..., Regular graph, Schläfli symbol, Spherical polyhedron, Stereographic projection, Symmetric graph, Symmetric group, Symmetry group, Tangent, Tetrahedron, Vertex figure, Volume. Expand index (11 more) »
Alternating group
In mathematics, an alternating group is the group of even permutations of a finite set.
Alternating group and Regular icosahedron · Alternating group and Tetrahedron ·
American Mathematical Monthly
The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.
American Mathematical Monthly and Regular icosahedron · American Mathematical Monthly and Tetrahedron ·
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 Regular icosahedron · Antiprism and Tetrahedron ·
Conformal map
In mathematics, a conformal map is a function that preserves angles locally.
Conformal map and Regular icosahedron · Conformal map and Tetrahedron ·
Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
Coxeter element and Regular icosahedron · Coxeter element and Tetrahedron ·
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 Regular icosahedron · Coxeter–Dynkin diagram and Tetrahedron ·
Digon
In geometry, a digon is a polygon with two sides (edges) and two vertices.
Digon and Regular icosahedron · Digon and Tetrahedron ·
Dihedral angle
A dihedral angle is the angle between two intersecting planes.
Dihedral angle and Regular icosahedron · Dihedral angle and Tetrahedron ·
Distance-regular graph
In mathematics, a distance-regular graph is a regular graph such that for any two vertices v and w, the number of vertices at distance j from v and at distance k from w depends only upon j, k, and i.
Distance-regular graph and Regular icosahedron · Distance-regular graph and Tetrahedron ·
Distance-transitive graph
In the mathematical field of graph theory, a distance-transitive graph is a graph such that, given any two vertices v and w at any distance i, and any other two vertices x and y at the same distance, there is an automorphism of the graph that carries v to x and w to y.
Distance-transitive graph and Regular icosahedron · Distance-transitive graph and Tetrahedron ·
Dodecahedron
In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces.
Dodecahedron and Regular icosahedron · Dodecahedron and Tetrahedron ·
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 Regular icosahedron · Dual polyhedron and Tetrahedron ·
Face (geometry)
In solid geometry, a face is a flat (planar) surface that forms part of the boundary of a solid object; a three-dimensional solid bounded exclusively by flat faces is a polyhedron.
Face (geometry) and Regular icosahedron · Face (geometry) and Tetrahedron ·
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 Regular icosahedron · Geometry and Tetrahedron ·
Graph (discrete mathematics)
In mathematics, and more specifically in graph theory, a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related".
Graph (discrete mathematics) and Regular icosahedron · Graph (discrete mathematics) and Tetrahedron ·
Hamiltonian path
In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex exactly once.
Hamiltonian path and Regular icosahedron · Hamiltonian path and Tetrahedron ·
Hyperbolic space
In mathematics, hyperbolic space is a homogeneous space that has a constant negative curvature, where in this case the curvature is the sectional curvature.
Hyperbolic space and Regular icosahedron · Hyperbolic space and Tetrahedron ·
K-vertex-connected graph
In graph theory, a connected graph G is said to be k-vertex-connected (or k-connected) if it has more than k vertices and remains connected whenever fewer than k vertices are removed.
K-vertex-connected graph and Regular icosahedron · K-vertex-connected graph and Tetrahedron ·
List of finite spherical symmetry groups
Finite spherical symmetry groups are also called point groups in three dimensions.
List of finite spherical symmetry groups and Regular icosahedron · List of finite spherical symmetry groups and Tetrahedron ·
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.
N-skeleton and Regular icosahedron · N-skeleton and Tetrahedron ·
Net (polyhedron)
In geometry a net of a polyhedron is an arrangement of edge-joined polygons in the plane which can be folded (along edges) to become the faces of the polyhedron.
Net (polyhedron) and Regular icosahedron · Net (polyhedron) and Tetrahedron ·
Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
Octahedron and Regular icosahedron · Octahedron and Tetrahedron ·
Orbifold notation
In geometry, orbifold notation (or orbifold signature) is a system, invented by William Thurston and popularized by the mathematician John Conway, for representing types of symmetry groups in two-dimensional spaces of constant curvature.
Orbifold notation and Regular icosahedron · Orbifold notation and Tetrahedron ·
Orthographic projection
Orthographic projection (sometimes orthogonal projection), is a means of representing three-dimensional objects in two dimensions.
Orthographic projection and Regular icosahedron · Orthographic projection and Tetrahedron ·
Planar graph
In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect only at their endpoints.
Planar graph and Regular icosahedron · Planar graph and Tetrahedron ·
Platonic graph
In the mathematical field of graph theory, a Platonic graph is a graph that has one of the Platonic solids as its skeleton.
Platonic graph and Regular icosahedron · Platonic graph and Tetrahedron ·
Platonic solid
In three-dimensional space, a Platonic solid is a regular, convex polyhedron.
Platonic solid and Regular icosahedron · Platonic solid and Tetrahedron ·
Polyhedron
In geometry, a polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices.
Polyhedron and Regular icosahedron · Polyhedron and Tetrahedron ·
Polytope compound
A polyhedral compound is a figure that is composed of several polyhedra sharing a common centre.
Polytope compound and Regular icosahedron · Polytope compound and Tetrahedron ·
Projection (linear algebra)
In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that.
Projection (linear algebra) and Regular icosahedron · Projection (linear algebra) and Tetrahedron ·
Regular graph
In graph theory, a regular graph is a graph where each vertex has the same number of neighbors; i.e. every vertex has the same degree or valency.
Regular graph and Regular icosahedron · Regular graph and Tetrahedron ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
Regular icosahedron and Schläfli symbol · Schläfli symbol and Tetrahedron ·
Spherical polyhedron
In mathematics, a spherical polyhedron or spherical tiling is a tiling of the sphere in which the surface is divided or partitioned by great arcs into bounded regions called spherical polygons.
Regular icosahedron and Spherical polyhedron · Spherical polyhedron and Tetrahedron ·
Stereographic projection
In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane.
Regular icosahedron and Stereographic projection · Stereographic projection and Tetrahedron ·
Symmetric graph
In the mathematical field of graph theory, a graph G is symmetric (or arc-transitive) if, given any two pairs of adjacent vertices u1—v1 and u2—v2 of G, there is an automorphism such that In other words, a graph is symmetric if its automorphism group acts transitively upon ordered pairs of adjacent vertices (that is, upon edges considered as having a direction).
Regular icosahedron and Symmetric graph · Symmetric graph and Tetrahedron ·
Symmetric group
In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions.
Regular icosahedron and Symmetric group · Symmetric group and Tetrahedron ·
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.
Regular icosahedron and Symmetry group · Symmetry group and Tetrahedron ·
Tangent
In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve at that point.
Regular icosahedron and Tangent · Tangent and Tetrahedron ·
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.
Regular icosahedron and Tetrahedron · Tetrahedron and Tetrahedron ·
Vertex figure
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
Regular icosahedron and Vertex figure · Tetrahedron and Vertex figure ·
Volume
Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains.
The list above answers the following questions
- What Regular icosahedron and Tetrahedron have in common
- What are the similarities between Regular icosahedron and Tetrahedron
Regular icosahedron and Tetrahedron Comparison
Regular icosahedron has 163 relations, while Tetrahedron has 202. As they have in common 41, the Jaccard index is 11.23% = 41 / (163 + 202).
References
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