26 relations: American Mathematical Society, Canada, Carl B. Allendoerfer, Convex polytope, Coxeter group, Dimension, Dover Publications, Duncan Sommerville, Eric Harold Neville, Geometry, Group (mathematics), Group theory, Harold Scott MacDonald Coxeter, Henri Poincaré, Honeycomb, Mathematician, Mathematics, Platonic solid, Polygon, Polyhedron, Regular polytope, Star polygon, Star polyhedron, Tessellation, University of Michigan, Wythoff construction.
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.
New!!: Regular Polytopes (book) and American Mathematical Society · See more »
Canada
Canada is a country located in the northern part of North America.
New!!: Regular Polytopes (book) and Canada · See more »
Carl B. Allendoerfer
Carl Barnett Allendoerfer (April 4, 1911 – September 29, 1974) was an American mathematician in the mid-twentieth century, known for his work in topology and mathematics education.
New!!: Regular Polytopes (book) and Carl B. Allendoerfer · See more »
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.
New!!: Regular Polytopes (book) and Convex polytope · See more »
Coxeter group
In mathematics, a Coxeter group, named after H. S. M. Coxeter, is an abstract group that admits a formal description in terms of reflections (or kaleidoscopic mirrors).
New!!: Regular Polytopes (book) and Coxeter group · See more »
Dimension
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.
New!!: Regular Polytopes (book) and Dimension · See more »
Dover Publications
Dover Publications, also known as Dover Books, is an American book publisher founded in 1941 by Hayward Cirker and his wife, Blanche.
New!!: Regular Polytopes (book) and Dover Publications · See more »
Duncan Sommerville
Duncan MacLaren Young Sommerville (1879–1934) was a Scottish mathematician and astronomer.
New!!: Regular Polytopes (book) and Duncan Sommerville · See more »
Eric Harold Neville
Eric Harold Neville, known as E. H. Neville (1 January 1889 London, England – 22 August 1961 Reading, Berkshire, England) was an English mathematician.
New!!: Regular Polytopes (book) and Eric Harold Neville · See more »
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.
New!!: Regular Polytopes (book) and Geometry · See more »
Group (mathematics)
In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.
New!!: Regular Polytopes (book) and Group (mathematics) · See more »
Group theory
In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.
New!!: Regular Polytopes (book) and Group theory · See more »
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
New!!: Regular Polytopes (book) and Harold Scott MacDonald Coxeter · See more »
Henri Poincaré
Jules Henri Poincaré (29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science.
New!!: Regular Polytopes (book) and Henri Poincaré · See more »
Honeycomb
A honeycomb is a mass of hexagonal prismatic wax cells built by honey bees in their nests to contain their larvae and stores of honey and pollen.
New!!: Regular Polytopes (book) and Honeycomb · See more »
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.
New!!: Regular Polytopes (book) and Mathematician · See more »
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
New!!: Regular Polytopes (book) and Mathematics · See more »
Platonic solid
In three-dimensional space, a Platonic solid is a regular, convex polyhedron.
New!!: Regular Polytopes (book) and Platonic solid · See more »
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.
New!!: Regular Polytopes (book) and Polygon · See more »
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.
New!!: Regular Polytopes (book) and Polyhedron · See more »
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.
New!!: Regular Polytopes (book) and Regular polytope · See more »
Star polygon
In geometry, a star polygon is a type of non-convex polygon.
New!!: Regular Polytopes (book) and Star polygon · See more »
Star polyhedron
In geometry, a star polyhedron is a polyhedron which has some repetitive quality of nonconvexity giving it a star-like visual quality.
New!!: Regular Polytopes (book) and Star polyhedron · See more »
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.
New!!: Regular Polytopes (book) and Tessellation · See more »
University of Michigan
The University of Michigan (UM, U-M, U of M, or UMich), often simply referred to as Michigan, is a public research university in Ann Arbor, Michigan.
New!!: Regular Polytopes (book) and University of Michigan · See more »
Wythoff construction
In geometry, a Wythoff construction, named after mathematician Willem Abraham Wythoff, is a method for constructing a uniform polyhedron or plane tiling.
New!!: Regular Polytopes (book) and Wythoff construction · See more »
Redirects here:
Regular Polytopes, Regular polytopes (book).
References
[1] https://en.wikipedia.org/wiki/Regular_Polytopes_(book)