Faster access than browser!Similarities between Cross-polytope and Platonic solid
Cross-polytope and Platonic solid have 20 things in common (in Unionpedia): Dual polyhedron, Edge (geometry), Face (geometry), Hypercube, List of regular polytopes and compounds, Ludwig Schläfli, Octahedron, Polygon, Polyhedron, Polytope, Regular 4-polytope, Regular polygon, Regular polytope, Regular Polytopes (book), Schläfli symbol, Simplex, Square, Vertex (geometry), Vertex figure, 16-cell.
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.
Cross-polytope and Dual polyhedron · Dual polyhedron and Platonic solid ·
Edge (geometry)
In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope.
Cross-polytope and Edge (geometry) · Edge (geometry) and Platonic solid ·
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.
Cross-polytope and Face (geometry) · Face (geometry) and Platonic solid ·
Hypercube
In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.
Cross-polytope and Hypercube · Hypercube and Platonic solid ·
List of regular polytopes and compounds
This page lists the regular polytopes and regular polytope compounds in Euclidean, spherical and hyperbolic spaces.
Cross-polytope and List of regular polytopes and compounds · List of regular polytopes and compounds and Platonic solid ·
Ludwig Schläfli
Ludwig Schläfli (15 January 1814 – 20 March 1895) was a Swiss mathematician, specialising in geometry and complex analysis (at the time called function theory) who was one of the key figures in developing the notion of higher-dimensional spaces.
Cross-polytope and Ludwig Schläfli · Ludwig Schläfli and Platonic solid ·
Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
Cross-polytope and Octahedron · Octahedron and Platonic solid ·
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.
Cross-polytope and Polygon · Platonic solid and Polygon ·
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.
Cross-polytope and Polyhedron · Platonic solid and Polyhedron ·
Polytope
In elementary geometry, a polytope is a geometric object with "flat" sides.
Cross-polytope and Polytope · Platonic solid and Polytope ·
Regular 4-polytope
In mathematics, a regular 4-polytope is a regular four-dimensional polytope.
Cross-polytope and Regular 4-polytope · Platonic solid and Regular 4-polytope ·
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).
Cross-polytope and Regular polygon · Platonic solid and Regular polygon ·
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.
Cross-polytope and Regular polytope · Platonic solid and Regular polytope ·
Regular Polytopes (book)
Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.
Cross-polytope and Regular Polytopes (book) · Platonic solid and Regular Polytopes (book) ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
Cross-polytope and Schläfli symbol · Platonic solid and Schläfli symbol ·
Simplex
In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.
Cross-polytope and Simplex · Platonic solid and Simplex ·
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.
Cross-polytope and Square · Platonic solid and Square ·
Vertex (geometry)
In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.
Cross-polytope and Vertex (geometry) · Platonic solid and Vertex (geometry) ·
Vertex figure
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
Cross-polytope and Vertex figure · Platonic solid and Vertex figure ·
16-cell
In four-dimensional geometry, a 16-cell is a regular convex 4-polytope.
The list above answers the following questions
- What Cross-polytope and Platonic solid have in common
- What are the similarities between Cross-polytope and Platonic solid
Cross-polytope and Platonic solid Comparison
Cross-polytope has 67 relations, while Platonic solid has 190. As they have in common 20, the Jaccard index is 7.78% = 20 / (67 + 190).
References
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