Similarities between Platonic solid and Rectified 5-cell
Platonic solid and Rectified 5-cell have 19 things in common (in Unionpedia): Cartesian coordinate system, Cross-polytope, Dual polyhedron, Face (geometry), Isogonal figure, Isotoxal figure, Octahedron, Pentagon, Polyhedral combinatorics, Rectification (geometry), Regular polytope, Schläfli symbol, Simplex, Tetrahedron, Triangle, Vertex figure, Wythoff construction, 24-cell, 5-cell.
Cartesian coordinate system
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.
Cartesian coordinate system and Platonic solid · Cartesian coordinate system and Rectified 5-cell ·
Cross-polytope
In geometry, a cross-polytope, orthoplex, hyperoctahedron, or cocube is a regular, convex polytope that exists in n-dimensions.
Cross-polytope and Platonic solid · Cross-polytope and Rectified 5-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.
Dual polyhedron and Platonic solid · Dual polyhedron and Rectified 5-cell ·
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 Platonic solid · Face (geometry) and Rectified 5-cell ·
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.
Isogonal figure and Platonic solid · Isogonal figure and Rectified 5-cell ·
Isotoxal figure
In geometry, a polytope (for example, a polygon or a polyhedron), or a tiling, is isotoxal or edge-transitive if its symmetries act transitively on its edges.
Isotoxal figure and Platonic solid · Isotoxal figure and Rectified 5-cell ·
Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
Octahedron and Platonic solid · Octahedron and Rectified 5-cell ·
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 Platonic solid · Pentagon and Rectified 5-cell ·
Polyhedral combinatorics
Polyhedral combinatorics is a branch of mathematics, within combinatorics and discrete geometry, that studies the problems of counting and describing the faces of convex polyhedra and higher-dimensional convex polytopes.
Platonic solid and Polyhedral combinatorics · Polyhedral combinatorics and Rectified 5-cell ·
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.
Platonic solid and Rectification (geometry) · Rectification (geometry) and Rectified 5-cell ·
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.
Platonic solid and Regular polytope · Rectified 5-cell and Regular polytope ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
Platonic solid and Schläfli symbol · Rectified 5-cell 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.
Platonic solid and Simplex · Rectified 5-cell and Simplex ·
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.
Platonic solid and Tetrahedron · Rectified 5-cell and Tetrahedron ·
Triangle
A triangle is a polygon with three edges and three vertices.
Platonic solid and Triangle · Rectified 5-cell and Triangle ·
Vertex figure
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
Platonic solid and Vertex figure · Rectified 5-cell and Vertex figure ·
Wythoff construction
In geometry, a Wythoff construction, named after mathematician Willem Abraham Wythoff, is a method for constructing a uniform polyhedron or plane tiling.
Platonic solid and Wythoff construction · Rectified 5-cell and Wythoff construction ·
24-cell
In geometry, the 24-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.
24-cell and Platonic solid · 24-cell and Rectified 5-cell ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
The list above answers the following questions
- What Platonic solid and Rectified 5-cell have in common
- What are the similarities between Platonic solid and Rectified 5-cell
Platonic solid and Rectified 5-cell Comparison
Platonic solid has 190 relations, while Rectified 5-cell has 53. As they have in common 19, the Jaccard index is 7.82% = 19 / (190 + 53).
References
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