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Regular polytope and Schlegel diagram

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Regular polytope and Schlegel diagram

Regular polytope vs. Schlegel diagram

In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry. In geometry, a Schlegel diagram is a projection of a polytope from R^d into R^ through a point beyond one of its facets or faces.

Similarities between Regular polytope and Schlegel diagram

Regular polytope and Schlegel diagram have 17 things in common (in Unionpedia): Dodecahedron, Duncan Sommerville, Face (geometry), Facet (geometry), Harold Scott MacDonald Coxeter, Net (polyhedron), Pentagon, Perspective (graphical), Point (geometry), Polyhedron, Polytope, Regular Polytopes (book), Simplex, Square, Tetrahedron, 120-cell, 4-polytope.

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 polytope · Dodecahedron and Schlegel diagram · See more »

Duncan Sommerville

Duncan MacLaren Young Sommerville (1879–1934) was a Scottish mathematician and astronomer.

Duncan Sommerville and Regular polytope · Duncan Sommerville and Schlegel diagram · See more »

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 polytope · Face (geometry) and Schlegel diagram · See more »

Facet (geometry)

In geometry, a facet is a feature of a polyhedron, polytope, or related geometric structure, generally of dimension one less than the structure itself.

Facet (geometry) and Regular polytope · Facet (geometry) and Schlegel diagram · 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.

Harold Scott MacDonald Coxeter and Regular polytope · Harold Scott MacDonald Coxeter and Schlegel diagram · See more »

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 polytope · Net (polyhedron) and Schlegel diagram · See more »

Pentagon

In geometry, a pentagon (from the Greek πέντε pente and γωνία gonia, meaning five and angle) is any five-sided polygon or 5-gon.

Pentagon and Regular polytope · Pentagon and Schlegel diagram · See more »

Perspective (graphical)

Perspective (from perspicere "to see through") in the graphic arts is an approximate representation, generally on a flat surface (such as paper), of an image as it is seen by the eye.

Perspective (graphical) and Regular polytope · Perspective (graphical) and Schlegel diagram · See more »

Point (geometry)

In modern mathematics, a point refers usually to an element of some set called a space.

Point (geometry) and Regular polytope · Point (geometry) and Schlegel diagram · 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.

Polyhedron and Regular polytope · Polyhedron and Schlegel diagram · See more »

Polytope

In elementary geometry, a polytope is a geometric object with "flat" sides.

Polytope and Regular polytope · Polytope and Schlegel diagram · See more »

Regular Polytopes (book)

Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.

Regular Polytopes (book) and Regular polytope · Regular Polytopes (book) and Schlegel diagram · See more »

Simplex

In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.

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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.

Regular polytope and Square · Schlegel diagram and Square · See more »

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.

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120-cell

In geometry, the 120-cell is the convex regular 4-polytope with Schläfli symbol.

120-cell and Regular polytope · 120-cell and Schlegel diagram · See more »

4-polytope

In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope.

4-polytope and Regular polytope · 4-polytope and Schlegel diagram · See more »

The list above answers the following questions

Regular polytope and Schlegel diagram Comparison

Regular polytope has 124 relations, while Schlegel diagram has 28. As they have in common 17, the Jaccard index is 11.18% = 17 / (124 + 28).

References

This article shows the relationship between Regular polytope and Schlegel diagram. To access each article from which the information was extracted, please visit:

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