Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Free
Faster access than browser!
 

Runcination and Uniform polytope

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

Difference between Runcination and Uniform polytope

Runcination vs. Uniform polytope

In geometry, runcination is an operation that cuts a regular polytope (or honeycomb) simultaneously along the faces, edges and vertices, creating new facets in place of the original face, edge, and vertex centers. A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.

Similarities between Runcination and Uniform polytope

Runcination and Uniform polytope have 22 things in common (in Unionpedia): Alicia Boole Stott, Antiprism, Cantellation (geometry), Convex uniform honeycomb, Coxeter–Dynkin diagram, Cubic honeycomb, Expansion (geometry), Harold Scott MacDonald Coxeter, Honeycomb (geometry), Norman Johnson (mathematician), Prism (geometry), Rectification (geometry), Regular polytope, Runcinated 120-cells, Runcinated 24-cells, Runcinated 5-cell, Runcinated tesseracts, Schläfli symbol, Truncation (geometry), Uniform 4-polytope, Uniform polyhedron, Vertex figure.

Alicia Boole Stott

Alicia Boole Stott (8 June 1860 – 17 December 1940) was an Irish-English mathematician.

Alicia Boole Stott and Runcination · Alicia Boole Stott and Uniform polytope · See more »

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 Runcination · Antiprism and Uniform polytope · See more »

Cantellation (geometry)

In geometry, a cantellation is an operation in any dimension that bevels a regular polytope at its edges and vertices, creating a new facet in place of each edge and vertex.

Cantellation (geometry) and Runcination · Cantellation (geometry) and Uniform polytope · See more »

Convex uniform honeycomb

In geometry, a convex uniform honeycomb is a uniform tessellation which fills three-dimensional Euclidean space with non-overlapping convex uniform polyhedral cells.

Convex uniform honeycomb and Runcination · Convex uniform honeycomb and Uniform polytope · See more »

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 Runcination · Coxeter–Dynkin diagram and Uniform polytope · See more »

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.

Cubic honeycomb and Runcination · Cubic honeycomb and Uniform polytope · See more »

Expansion (geometry)

In geometry, expansion is a polytope operation where facets are separated and moved radially apart, and new facets are formed at separated elements (vertices, edges, etc.). Equivalently this operation can be imagined by keeping facets in the same position but reducing their size.

Expansion (geometry) and Runcination · Expansion (geometry) and Uniform polytope · 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 Runcination · Harold Scott MacDonald Coxeter and Uniform polytope · See more »

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 Runcination · Honeycomb (geometry) and Uniform polytope · See more »

Norman Johnson (mathematician)

Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.

Norman Johnson (mathematician) and Runcination · Norman Johnson (mathematician) and Uniform polytope · See more »

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.

Prism (geometry) and Runcination · Prism (geometry) and Uniform polytope · See more »

Rectification (geometry)

In Euclidean geometry, rectification or complete-truncation is the process of truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points.

Rectification (geometry) and Runcination · Rectification (geometry) and Uniform polytope · 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.

Regular polytope and Runcination · Regular polytope and Uniform polytope · See more »

Runcinated 120-cells

In four-dimensional geometry, a runcinated 120-cell (or runcinated 600-cell) is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular 120-cell.

Runcinated 120-cells and Runcination · Runcinated 120-cells and Uniform polytope · See more »

Runcinated 24-cells

In four-dimensional geometry, a runcinated 24-cell is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular 24-cell.

Runcinated 24-cells and Runcination · Runcinated 24-cells and Uniform polytope · See more »

Runcinated 5-cell

In four-dimensional geometry, a runcinated 5-cell is a convex uniform 4-polytope, being a runcination (a 3rd order truncation, up to face-planing) of the regular 5-cell.

Runcinated 5-cell and Runcination · Runcinated 5-cell and Uniform polytope · See more »

Runcinated tesseracts

In four-dimensional geometry, a runcinated tesseract (or runcinated 16-cell) is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular tesseract.

Runcinated tesseracts and Runcination · Runcinated tesseracts and Uniform polytope · See more »

Schläfli symbol

In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.

Runcination and Schläfli symbol · Schläfli symbol and Uniform polytope · See more »

Truncation (geometry)

In geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a new facet in place of each vertex.

Runcination and Truncation (geometry) · Truncation (geometry) and Uniform polytope · See more »

Uniform 4-polytope

In geometry, a uniform 4-polytope (or uniform polychoron) is a 4-polytope which is vertex-transitive and whose cells are uniform polyhedra, and faces are regular polygons.

Runcination and Uniform 4-polytope · Uniform 4-polytope and Uniform polytope · See more »

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).

Runcination and Uniform polyhedron · Uniform polyhedron and Uniform polytope · See more »

Vertex figure

In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.

Runcination and Vertex figure · Uniform polytope and Vertex figure · See more »

The list above answers the following questions

Runcination and Uniform polytope Comparison

Runcination has 29 relations, while Uniform polytope has 150. As they have in common 22, the Jaccard index is 12.29% = 22 / (29 + 150).

References

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

Hey! We are on Facebook now! »