Genus-three surface and Torus

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

Difference between Genus-three surface and Torus

Genus-three surface vs. Torus

In geometry, a genus-three surface is a smooth closed surface with three holes, or, in other words, a surface of genus three. In geometry, a torus (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle.

Similarities between Genus-three surface and Torus

Genus-three surface and Torus have 7 things in common (in Unionpedia): Connected sum, Genus (mathematics), Genus-two surface, Geometry, Smoothness, Sphere, Surface (topology).

Connected sum

In mathematics, specifically in topology, the operation of connected sum is a geometric modification on manifolds.

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Genus (mathematics)

In mathematics, genus (plural genera) has a few different, but closely related, meanings.

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Genus-two surface

In mathematics, a genus-two surface (also known as a double torus or two-holed torus) is a surface formed by the connected sum of two tori.

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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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Smoothness

In mathematical analysis, the smoothness of a function is a property measured by the number of derivatives it has that are continuous.

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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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Surface (topology)

In topology and differential geometry, a surface is a two-dimensional manifold, and, as such, may be an "abstract surface" not embedded in any Euclidean space.

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The list above answers the following questions

What Genus-three surface and Torus have in common
What are the similarities between Genus-three surface and Torus

Genus-three surface and Torus Comparison

Genus-three surface has 14 relations, while Torus has 146. As they have in common 7, the Jaccard index is 4.38% = 7 / (14 + 146).

References

This article shows the relationship between Genus-three surface and Torus. To access each article from which the information was extracted, please visit:

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