Similarities between Polyhedron and Tetrahedron
Polyhedron and Tetrahedron have 40 things in common (in Unionpedia): American Mathematical Monthly, Antiprism, Complete graph, Convex polytope, Crystal, Cube, Digon, Dihedral angle, Dodecahedron, Dot product, Dual polyhedron, Edge (geometry), Face (geometry), Geometry, Graph (discrete mathematics), Graph theory, Harold Scott MacDonald Coxeter, Honeycomb (geometry), K-vertex-connected graph, N-skeleton, Net (polyhedron), Octahedron, Parallelepiped, Piero della Francesca, Planar graph, Platonic solid, Point groups in three dimensions, Polygon, Pyramid (geometry), Right angle, ..., Simplex, Symmetric graph, Symmetry group, Tetrahedron, Three-dimensional space, Trapezohedron, Uniform polyhedron, Vertex (geometry), Vertex figure, Volume. Expand index (10 more) »
American Mathematical Monthly
The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.
American Mathematical Monthly and Polyhedron · 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 Polyhedron · Antiprism and Tetrahedron ·
Complete graph
No description.
Complete graph and Polyhedron · Complete graph and Tetrahedron ·
Convex polytope
A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n-dimensional space Rn.
Convex polytope and Polyhedron · Convex polytope and Tetrahedron ·
Crystal
A crystal or crystalline solid is a solid material whose constituents (such as atoms, molecules, or ions) are arranged in a highly ordered microscopic structure, forming a crystal lattice that extends in all directions.
Crystal and Polyhedron · Crystal and Tetrahedron ·
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 Polyhedron · Cube and Tetrahedron ·
Digon
In geometry, a digon is a polygon with two sides (edges) and two vertices.
Digon and Polyhedron · Digon and Tetrahedron ·
Dihedral angle
A dihedral angle is the angle between two intersecting planes.
Dihedral angle and Polyhedron · Dihedral angle 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 Polyhedron · Dodecahedron and Tetrahedron ·
Dot product
In mathematics, the dot product or scalar productThe term scalar product is often also used more generally to mean a symmetric bilinear form, for example for a pseudo-Euclidean space.
Dot product and Polyhedron · Dot product 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 Polyhedron · Dual polyhedron and Tetrahedron ·
Edge (geometry)
In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope.
Edge (geometry) and Polyhedron · Edge (geometry) 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 Polyhedron · 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 Polyhedron · 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 Polyhedron · Graph (discrete mathematics) and Tetrahedron ·
Graph theory
In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects.
Graph theory and Polyhedron · Graph theory and Tetrahedron ·
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 Polyhedron · Harold Scott MacDonald Coxeter and Tetrahedron ·
Honeycomb (geometry)
In geometry, a honeycomb is a space filling or close packing of polyhedral or higher-dimensional cells, so that there are no gaps.
Honeycomb (geometry) and Polyhedron · Honeycomb (geometry) 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 Polyhedron · K-vertex-connected graph 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 Polyhedron · 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 Polyhedron · Net (polyhedron) and Tetrahedron ·
Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
Octahedron and Polyhedron · Octahedron and Tetrahedron ·
Parallelepiped
In geometry, a parallelepiped is a three-dimensional figure formed by six parallelograms (the term rhomboid is also sometimes used with this meaning).
Parallelepiped and Polyhedron · Parallelepiped and Tetrahedron ·
Piero della Francesca
Piero della Francesca (c. 1415 – 12 October 1492) was an Italian painter of the Early Renaissance.
Piero della Francesca and Polyhedron · Piero della Francesca 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 Polyhedron · Planar graph and Tetrahedron ·
Platonic solid
In three-dimensional space, a Platonic solid is a regular, convex polyhedron.
Platonic solid and Polyhedron · Platonic solid and Tetrahedron ·
Point groups in three dimensions
In geometry, a point group in three dimensions is an isometry group in three dimensions that leaves the origin fixed, or correspondingly, an isometry group of a sphere.
Point groups in three dimensions and Polyhedron · Point groups in three dimensions and Tetrahedron ·
Polygon
In elementary geometry, a polygon is a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed polygonal chain or circuit.
Polygon and Polyhedron · Polygon and Tetrahedron ·
Pyramid (geometry)
In geometry, a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex.
Polyhedron and Pyramid (geometry) · Pyramid (geometry) and Tetrahedron ·
Right angle
In geometry and trigonometry, a right angle is an angle of exactly 90° (degrees), corresponding to a quarter turn.
Polyhedron and Right angle · Right angle and Tetrahedron ·
Simplex
In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.
Polyhedron and Simplex · Simplex 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).
Polyhedron and Symmetric graph · Symmetric graph 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.
Polyhedron and Symmetry group · Symmetry group 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.
Polyhedron and Tetrahedron · Tetrahedron and Tetrahedron ·
Three-dimensional space
Three-dimensional space (also: 3-space or, rarely, tri-dimensional space) is a geometric setting in which three values (called parameters) are required to determine the position of an element (i.e., point).
Polyhedron and Three-dimensional space · Tetrahedron and Three-dimensional space ·
Trapezohedron
The n-gonal trapezohedron, antidipyramid, antibipyramid or deltohedron is the dual polyhedron of an n-gonal antiprism.
Polyhedron and Trapezohedron · Tetrahedron and Trapezohedron ·
Uniform polyhedron
A uniform polyhedron is a polyhedron which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry mapping any vertex onto any other).
Polyhedron and Uniform polyhedron · Tetrahedron and Uniform polyhedron ·
Vertex (geometry)
In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.
Polyhedron and Vertex (geometry) · Tetrahedron and Vertex (geometry) ·
Vertex figure
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
Polyhedron 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 Polyhedron and Tetrahedron have in common
- What are the similarities between Polyhedron and Tetrahedron
Polyhedron and Tetrahedron Comparison
Polyhedron has 210 relations, while Tetrahedron has 202. As they have in common 40, the Jaccard index is 9.71% = 40 / (210 + 202).
References
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