Faster access than browser!Similarities between Icosahedron and Platonic solid
Icosahedron and Platonic solid have 21 things in common (in Unionpedia): Alternation (geometry), Antiprism, Convex set, Dihedral angle, Dodecahedron, Dual polyhedron, Edge (geometry), Face (geometry), Golden ratio, Icosahedral symmetry, Isohedral figure, Johnson solid, Kepler–Poinsot polyhedron, Polyhedron, Regular icosahedron, Schläfli symbol, Stellation, Tetrahedral symmetry, Truncated octahedron, Vertex (geometry), 600-cell.
Alternation (geometry)
In geometry, an alternation or partial truncation, is an operation on a polygon, polyhedron, tiling, or higher dimensional polytope that removes alternate vertices.
Alternation (geometry) and Icosahedron · Alternation (geometry) and Platonic solid ·
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 Icosahedron · Antiprism and Platonic solid ·
Convex set
In convex geometry, a convex set is a subset of an affine space that is closed under convex combinations.
Convex set and Icosahedron · Convex set and Platonic solid ·
Dihedral angle
A dihedral angle is the angle between two intersecting planes.
Dihedral angle and Icosahedron · Dihedral angle and Platonic solid ·
Dodecahedron
In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces.
Dodecahedron and Icosahedron · Dodecahedron and Platonic solid ·
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 Icosahedron · 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.
Edge (geometry) and Icosahedron · 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.
Face (geometry) and Icosahedron · Face (geometry) and Platonic solid ·
Golden ratio
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.
Golden ratio and Icosahedron · Golden ratio and Platonic solid ·
Icosahedral symmetry
A regular icosahedron has 60 rotational (or orientation-preserving) symmetries, and a symmetry order of 120 including transformations that combine a reflection and a rotation.
Icosahedral symmetry and Icosahedron · Icosahedral symmetry and Platonic solid ·
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.
Icosahedron and Isohedral figure · Isohedral figure and Platonic solid ·
Johnson solid
In geometry, a Johnson solid is a strictly convex polyhedron, which is not uniform (i.e., not a Platonic solid, Archimedean solid, prism, or antiprism), and each face of which is a regular polygon.
Icosahedron and Johnson solid · Johnson solid and Platonic solid ·
Kepler–Poinsot polyhedron
In geometry, a Kepler–Poinsot polyhedron is any of four regular star polyhedra.
Icosahedron and Kepler–Poinsot polyhedron · Kepler–Poinsot polyhedron and Platonic solid ·
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.
Icosahedron and Polyhedron · Platonic solid and Polyhedron ·
Regular icosahedron
In geometry, a regular icosahedron is a convex polyhedron with 20 faces, 30 edges and 12 vertices.
Icosahedron and Regular icosahedron · Platonic solid and Regular icosahedron ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
Icosahedron and Schläfli symbol · Platonic solid and Schläfli symbol ·
Stellation
In geometry, stellation is the process of extending a polygon in two dimensions, polyhedron in three dimensions, or, in general, a polytope in n dimensions to form a new figure.
Icosahedron and Stellation · Platonic solid and Stellation ·
Tetrahedral symmetry
A regular tetrahedron, an example of a solid with full tetrahedral symmetry A regular tetrahedron has 12 rotational (or orientation-preserving) symmetries, and a symmetry order of 24 including transformations that combine a reflection and a rotation.
Icosahedron and Tetrahedral symmetry · Platonic solid and Tetrahedral symmetry ·
Truncated octahedron
In geometry, the truncated octahedron is an Archimedean solid.
Icosahedron and Truncated octahedron · Platonic solid and Truncated octahedron ·
Vertex (geometry)
In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.
Icosahedron and Vertex (geometry) · Platonic solid and Vertex (geometry) ·
600-cell
In geometry, the 600-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.
The list above answers the following questions
- What Icosahedron and Platonic solid have in common
- What are the similarities between Icosahedron and Platonic solid
Icosahedron and Platonic solid Comparison
Icosahedron has 46 relations, while Platonic solid has 190. As they have in common 21, the Jaccard index is 8.90% = 21 / (46 + 190).
References
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