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

3-3 duoprism

+ Save concept

In geometry of 4 dimensions, a 3-3 duoprism or triangular duoprism, the smallest p-q duoprism, is a 4-polytope resulting from the Cartesian product of two triangles. [1]

42 relations: Birectified 16-cell honeycomb, Cartesian product, Complete bipartite graph, Complex polytope, Convex polytope, Coxeter notation, Coxeter–Dynkin diagram, Disphenoid, Dual polyhedron, Duocylinder, Duoprism, Duopyramid, Four-dimensional space, Geometry, Harold Scott MacDonald Coxeter, Isogonal figure, Isohedral figure, Isosceles triangle, John Horton Conway, Norman Johnson (mathematician), Projection (linear algebra), Rectified 5-simplexes, Regular 4-polytope, Rook's graph, Runcinated 5-cubes, Runcinated 5-orthoplexes, Runcinated 5-simplexes, Schläfli symbol, Schlegel diagram, Square, Tesseract, Three utilities problem, Triangle, Triangular prism, Uniform 5-polytope, Vertex arrangement, Vertex figure, 3-3 duoprism, 3-4 duoprism, 4-polytope, 5-5 duoprism, 5-simplex.

Birectified 16-cell honeycomb

In four-dimensional Euclidean geometry, the birectified 16-cell honeycomb (or runcic tesseractic honeycomb) is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.

New!!: 3-3 duoprism and Birectified 16-cell honeycomb · See 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.

New!!: 3-3 duoprism and Cartesian product · See more »

Complete bipartite graph

No description.

New!!: 3-3 duoprism and Complete bipartite graph · See more »

Complex polytope

In geometry, a complex polytope is a generalization of a polytope in real space to an analogous structure in a complex Hilbert space, where each real dimension is accompanied by an imaginary one.

New!!: 3-3 duoprism and Complex polytope · 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!!: 3-3 duoprism and Convex polytope · See more »

Coxeter notation

In geometry, Coxeter notation (also Coxeter symbol) is a system of classifying symmetry groups, describing the angles between with fundamental reflections of a Coxeter group in a bracketed notation expressing the structure of a Coxeter-Dynkin diagram, with modifiers to indicate certain subgroups.

New!!: 3-3 duoprism and Coxeter notation · 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).

New!!: 3-3 duoprism and Coxeter–Dynkin diagram · See more »

Disphenoid

In geometry, a disphenoid (from Greek sphenoeides, "wedgelike") is a tetrahedron whose four faces are congruent acute-angled triangles.

New!!: 3-3 duoprism and Disphenoid · See more »

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.

New!!: 3-3 duoprism and Dual polyhedron · See more »

Duocylinder

The duocylinder, or double cylinder, is a geometric object embedded in 4-dimensional Euclidean space, defined as the Cartesian product of two disks of respective radii r1 and r2: It is analogous to a cylinder in 3-space, which is the Cartesian product of a disk with a line segment.

New!!: 3-3 duoprism and Duocylinder · See more »

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.

New!!: 3-3 duoprism and Duoprism · See more »

Duopyramid

In geometry of 4 dimensions or higher, a duopyramid or fusil is a polytope constructed by 2 orthogonal polytopes with edges connecting all pairs of vertices between the two.

New!!: 3-3 duoprism and Duopyramid · See more »

Four-dimensional space

A four-dimensional space or 4D space is a mathematical extension of the concept of three-dimensional or 3D space.

New!!: 3-3 duoprism and Four-dimensional space · 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!!: 3-3 duoprism and Geometry · 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!!: 3-3 duoprism and Harold Scott MacDonald Coxeter · See more »

Isogonal figure

In geometry, a polytope (a polygon, polyhedron or tiling, for example) is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries of the figure.

New!!: 3-3 duoprism and Isogonal figure · See more »

Isohedral figure

In geometry, a polytope of dimension 3 (a polyhedron) or higher is isohedral or face-transitive when all its faces are the same.

New!!: 3-3 duoprism and Isohedral figure · See more »

Isosceles triangle

In geometry, an isosceles triangle is a triangle that has two sides of equal length.

New!!: 3-3 duoprism and Isosceles triangle · See more »

John Horton Conway

John Horton Conway FRS (born 26 December 1937) is an English mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory.

New!!: 3-3 duoprism and John Horton Conway · See more »

Norman Johnson (mathematician)

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

New!!: 3-3 duoprism and Norman Johnson (mathematician) · See more »

Projection (linear algebra)

In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that.

New!!: 3-3 duoprism and Projection (linear algebra) · See more »

Rectified 5-simplexes

In five-dimensional geometry, a rectified 5-simplex is a convex uniform 5-polytope, being a rectification of the regular 5-simplex.

New!!: 3-3 duoprism and Rectified 5-simplexes · See more »

Regular 4-polytope

In mathematics, a regular 4-polytope is a regular four-dimensional polytope.

New!!: 3-3 duoprism and Regular 4-polytope · See more »

Rook's graph

In graph theory, a rook's graph is a graph that represents all legal moves of the rook chess piece on a chessboard.

New!!: 3-3 duoprism and Rook's graph · See more »

Runcinated 5-cubes

In five-dimensional geometry, a runcinated 5-cube is a convex uniform 5-polytope that is a runcination (a 3rd order truncation) of the regular 5-cube.

New!!: 3-3 duoprism and Runcinated 5-cubes · See more »

Runcinated 5-orthoplexes

In five-dimensional geometry, a runcinated 5-orthoplex is a convex uniform 5-polytope with 3rd order truncation (runcination) of the regular 5-orthoplex.

New!!: 3-3 duoprism and Runcinated 5-orthoplexes · See more »

Runcinated 5-simplexes

In six-dimensional geometry, a runcinated 5-simplex is a convex uniform 5-polytope with 3rd order truncations (Runcination) of the regular 5-simplex.

New!!: 3-3 duoprism and Runcinated 5-simplexes · See more »

Schläfli symbol

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

New!!: 3-3 duoprism and Schläfli symbol · See more »

Schlegel diagram

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.

New!!: 3-3 duoprism and Schlegel diagram · See more »

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.

New!!: 3-3 duoprism and Square · See more »

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.

New!!: 3-3 duoprism and Tesseract · See more »

Three utilities problem

The classical mathematical puzzle known as the three utilities problem; the three cottages problem or sometimes water, gas and electricity can be stated as follows: The problem is an abstract mathematical puzzle which imposes constraints that would not exist in a practical engineering situation.

New!!: 3-3 duoprism and Three utilities problem · See more »

Triangle

A triangle is a polygon with three edges and three vertices.

New!!: 3-3 duoprism and Triangle · See more »

Triangular prism

In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides.

New!!: 3-3 duoprism and Triangular prism · See more »

Uniform 5-polytope

In geometry, a uniform 5-polytope is a five-dimensional uniform polytope.

New!!: 3-3 duoprism and Uniform 5-polytope · See more »

Vertex arrangement

In geometry, a vertex arrangement is a set of points in space described by their relative positions.

New!!: 3-3 duoprism and Vertex arrangement · 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.

New!!: 3-3 duoprism and Vertex figure · See more »

3-3 duoprism

In geometry of 4 dimensions, a 3-3 duoprism or triangular duoprism, the smallest p-q duoprism, is a 4-polytope resulting from the Cartesian product of two triangles.

New!!: 3-3 duoprism and 3-3 duoprism · See more »

3-4 duoprism

In geometry of 4 dimensions, a 3-4 duoprism, the second smallest p-q duoprism, is a 4-polytope resulting from the Cartesian product of a triangle and a square.

New!!: 3-3 duoprism and 3-4 duoprism · See more »

4-polytope

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

New!!: 3-3 duoprism and 4-polytope · See more »

5-5 duoprism

In geometry of 4 dimensions, a 5-5 duoprism or pentagonal duoprism is a polygonal duoprism, a 4-polytope resulting from the Cartesian product of two pentagons.

New!!: 3-3 duoprism and 5-5 duoprism · See more »

5-simplex

In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope.

New!!: 3-3 duoprism and 5-simplex · See more »

Redirects here:

3-3 duopyramid, Triangular duoprism.

References

[1] https://en.wikipedia.org/wiki/3-3_duoprism

OutgoingIncoming
Hey! We are on Facebook now! »