Faster access than browser!Similarities between 4-polytope and Schläfli symbol
4-polytope and Schläfli symbol have 36 things in common (in Unionpedia): Cartesian product, Convex polytope, Convex set, Cross-polytope, Cube, Cubic honeycomb, Duoprism, Euclidean space, Face (geometry), Geometry, Harold Scott MacDonald Coxeter, Hyperbolic space, Hypercube, Kepler–Poinsot polyhedron, Line segment, Norman Johnson (mathematician), Polyhedron, Prism (geometry), Pyramid (geometry), Regular 4-polytope, Regular polygon, Regular polyhedron, Regular polytope, Simplex, Snub 24-cell, Square, Square tiling, Star polygon, Symmetry group, Tessellation, ..., Tesseract, Vertex figure, 120-cell, 16-cell, 24-cell, 5-cell. Expand index (6 more) »
Cartesian product
In set theory (and, usually, in other parts of mathematics), a Cartesian product is a mathematical operation that returns a set (or product set or simply product) from multiple sets.
4-polytope and Cartesian product · Cartesian product and Schläfli symbol ·
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.
4-polytope and Convex polytope · Convex polytope and Schläfli symbol ·
Convex set
In convex geometry, a convex set is a subset of an affine space that is closed under convex combinations.
4-polytope and Convex set · Convex set and Schläfli symbol ·
Cross-polytope
In geometry, a cross-polytope, orthoplex, hyperoctahedron, or cocube is a regular, convex polytope that exists in n-dimensions.
4-polytope and Cross-polytope · Cross-polytope and Schläfli symbol ·
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.
4-polytope and Cube · Cube and Schläfli symbol ·
Cubic honeycomb
The cubic honeycomb or cubic cellulation is the only regular space-filling tessellation (or honeycomb) in Euclidean 3-space, made up of cubic cells.
4-polytope and Cubic honeycomb · Cubic honeycomb and Schläfli symbol ·
Duoprism
In geometry of 4 dimensions or higher, a duoprism is a polytope resulting from the Cartesian product of two polytopes, each of two dimensions or higher.
4-polytope and Duoprism · Duoprism and Schläfli symbol ·
Euclidean space
In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.
4-polytope and Euclidean space · Euclidean space and Schläfli symbol ·
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.
4-polytope and Face (geometry) · Face (geometry) and Schläfli symbol ·
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.
4-polytope and Geometry · Geometry and Schläfli symbol ·
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
4-polytope and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Schläfli symbol ·
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.
4-polytope and Hyperbolic space · Hyperbolic space and Schläfli symbol ·
Hypercube
In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.
4-polytope and Hypercube · Hypercube and Schläfli symbol ·
Kepler–Poinsot polyhedron
In geometry, a Kepler–Poinsot polyhedron is any of four regular star polyhedra.
4-polytope and Kepler–Poinsot polyhedron · Kepler–Poinsot polyhedron and Schläfli symbol ·
Line segment
In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints.
4-polytope and Line segment · Line segment and Schläfli symbol ·
Norman Johnson (mathematician)
Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.
4-polytope and Norman Johnson (mathematician) · Norman Johnson (mathematician) and Schläfli symbol ·
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.
4-polytope and Polyhedron · Polyhedron and Schläfli symbol ·
Prism (geometry)
In geometry, a prism is a polyhedron comprising an n-sided polygonal base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases.
4-polytope and Prism (geometry) · Prism (geometry) and Schläfli symbol ·
Pyramid (geometry)
In geometry, a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex.
4-polytope and Pyramid (geometry) · Pyramid (geometry) and Schläfli symbol ·
Regular 4-polytope
In mathematics, a regular 4-polytope is a regular four-dimensional polytope.
4-polytope and Regular 4-polytope · Regular 4-polytope and Schläfli symbol ·
Regular polygon
In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).
4-polytope and Regular polygon · Regular polygon and Schläfli symbol ·
Regular polyhedron
A regular polyhedron is a polyhedron whose symmetry group acts transitively on its flags.
4-polytope and Regular polyhedron · Regular polyhedron and Schläfli symbol ·
Regular polytope
In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry.
4-polytope and Regular polytope · Regular polytope and Schläfli symbol ·
Simplex
In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.
4-polytope and Simplex · Schläfli symbol and Simplex ·
Snub 24-cell
In geometry, the snub 24-cell or snub disicositetrachoron is a convex uniform 4-polytope composed of 120 regular tetrahedral and 24 icosahedral cells.
4-polytope and Snub 24-cell · Schläfli symbol and Snub 24-cell ·
Square
In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or (100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted.
4-polytope and Square · Schläfli symbol and Square ·
Square tiling
In geometry, the square tiling, square tessellation or square grid is a regular tiling of the Euclidean plane.
4-polytope and Square tiling · Schläfli symbol and Square tiling ·
Star polygon
In geometry, a star polygon is a type of non-convex polygon.
4-polytope and Star polygon · Schläfli symbol and Star polygon ·
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.
4-polytope and Symmetry group · Schläfli symbol 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.
4-polytope and Tessellation · Schläfli symbol and Tessellation ·
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.
4-polytope and Tesseract · Schläfli symbol and Tesseract ·
Vertex figure
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
4-polytope and Vertex figure · Schläfli symbol and Vertex figure ·
120-cell
In geometry, the 120-cell is the convex regular 4-polytope with Schläfli symbol.
120-cell and 4-polytope · 120-cell and Schläfli symbol ·
16-cell
In four-dimensional geometry, a 16-cell is a regular convex 4-polytope.
16-cell and 4-polytope · 16-cell and Schläfli symbol ·
24-cell
In geometry, the 24-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.
24-cell and 4-polytope · 24-cell and Schläfli symbol ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
The list above answers the following questions
- What 4-polytope and Schläfli symbol have in common
- What are the similarities between 4-polytope and Schläfli symbol
4-polytope and Schläfli symbol Comparison
4-polytope has 83 relations, while Schläfli symbol has 224. As they have in common 36, the Jaccard index is 11.73% = 36 / (83 + 224).
References
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