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Regular icosahedron and Stereographic projection

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

Difference between Regular icosahedron and Stereographic projection

Regular icosahedron vs. Stereographic projection

In geometry, a regular icosahedron is a convex polyhedron with 20 faces, 30 edges and 12 vertices. In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane.

Similarities between Regular icosahedron and Stereographic projection

Regular icosahedron and Stereographic projection have 10 things in common (in Unionpedia): Cartography, Conformal map, Euclidean space, Geometry, Isometry, Poincaré disk model, Polytope, Sphere, Spherical coordinate system, Stereographic projection.

Cartography

Cartography (from Greek χάρτης chartēs, "papyrus, sheet of paper, map"; and γράφειν graphein, "write") is the study and practice of making maps.

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Conformal map

In mathematics, a conformal map is a function that preserves angles locally.

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Euclidean space

In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.

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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.

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Isometry

In mathematics, an isometry (or congruence, or congruent transformation) is a distance-preserving transformation between metric spaces, usually assumed to be bijective.

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Poincaré disk model

In geometry, the Poincaré disk model, also called the conformal disk model, is a model of 2-dimensional hyperbolic geometry in which the points of the geometry are inside the unit disk, and the straight lines consist of all segments of circles contained within that disk that are orthogonal to the boundary of the disk, plus all diameters of the disk.

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Polytope

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

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Sphere

A sphere (from Greek σφαῖρα — sphaira, "globe, ball") is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball (viz., analogous to the circular objects in two dimensions, where a "circle" circumscribes its "disk").

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Spherical coordinate system

In mathematics, a spherical coordinate system is a coordinate system for three-dimensional space where the position of a point is specified by three numbers: the radial distance of that point from a fixed origin, its polar angle measured from a fixed zenith direction, and the azimuth angle of its orthogonal projection on a reference plane that passes through the origin and is orthogonal to the zenith, measured from a fixed reference direction on that plane.

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Stereographic projection

In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane.

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The list above answers the following questions

Regular icosahedron and Stereographic projection Comparison

Regular icosahedron has 163 relations, while Stereographic projection has 120. As they have in common 10, the Jaccard index is 3.53% = 10 / (163 + 120).

References

This article shows the relationship between Regular icosahedron and Stereographic projection. To access each article from which the information was extracted, please visit:

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