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4-polytope and Prism (geometry)

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

Difference between 4-polytope and Prism (geometry)

4-polytope vs. Prism (geometry)

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

Similarities between 4-polytope and Prism (geometry)

4-polytope and Prism (geometry) have 23 things in common (in Unionpedia): Cartesian product, Cube, Duoprism, Euler characteristic, Face (geometry), Geometry, Isogonal figure, Line segment, Net (polyhedron), Norman Johnson (mathematician), Polygon, Polyhedron, Polytope, Regular polygon, Schlegel diagram, Square, Square tiling, Star polygon, Stella (software), Symmetry group, Tesseract, Uniform polyhedron, Vertex figure.

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 Prism (geometry) · See more »

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 Prism (geometry) · 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.

4-polytope and Duoprism · Duoprism and Prism (geometry) · See more »

Euler characteristic

In mathematics, and more specifically in algebraic topology and polyhedral combinatorics, the Euler characteristic (or Euler number, or Euler–Poincaré characteristic) is a topological invariant, a number that describes a topological space's shape or structure regardless of the way it is bent.

4-polytope and Euler characteristic · Euler characteristic and Prism (geometry) · 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.

4-polytope and Face (geometry) · Face (geometry) and Prism (geometry) · 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.

4-polytope and Geometry · Geometry and Prism (geometry) · 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.

4-polytope and Isogonal figure · Isogonal figure and Prism (geometry) · See more »

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 Prism (geometry) · 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.

4-polytope and Net (polyhedron) · Net (polyhedron) and Prism (geometry) · See more »

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 Prism (geometry) · 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.

4-polytope and Polygon · Polygon and Prism (geometry) · 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.

4-polytope and Polyhedron · Polyhedron and Prism (geometry) · See more »

Polytope

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

4-polytope and Polytope · Polytope and Prism (geometry) · See more »

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 · Prism (geometry) and Regular polygon · 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.

4-polytope and Schlegel diagram · Prism (geometry) 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.

4-polytope and Square · Prism (geometry) and Square · See more »

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 · Prism (geometry) and Square tiling · See more »

Star polygon

In geometry, a star polygon is a type of non-convex polygon.

4-polytope and Star polygon · Prism (geometry) and Star polygon · See more »

Stella (software)

Stella, a computer program available in three versions (Great Stella, Small Stella and Stella4D), was created by Robert Webb of Australia.

4-polytope and Stella (software) · Prism (geometry) and Stella (software) · See more »

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 · Prism (geometry) and Symmetry group · 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.

4-polytope and Tesseract · Prism (geometry) and Tesseract · 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).

4-polytope and Uniform polyhedron · Prism (geometry) and Uniform polyhedron · 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.

4-polytope and Vertex figure · Prism (geometry) and Vertex figure · See more »

The list above answers the following questions

4-polytope and Prism (geometry) Comparison

4-polytope has 83 relations, while Prism (geometry) has 65. As they have in common 23, the Jaccard index is 15.54% = 23 / (83 + 65).

References

This article shows the relationship between 4-polytope and Prism (geometry). To access each article from which the information was extracted, please visit:

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