Dini's surface

In geometry, Dini's surface is a surface with constant negative curvature that can be created by twisting a pseudosphere. ^[1]

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Table of Contents

1. 9 relations: Breather surface, Curvature, Generalized helicoid, Geometry, Parametric equation, Pseudosphere, Surface (mathematics), Tractrix, Ulisse Dini.

2. Surfaces of constant negative curvature

Breather surface

In differential geometry, a breather surface is a one-parameter family of mathematical surfaces which correspond to breather solutions of the sine-Gordon equation, a differential equation appearing in theoretical physics.

See Dini's surface and Breather surface

Curvature

In mathematics, curvature is any of several strongly related concepts in geometry that intuitively measure the amount by which a curve deviates from being a straight line or by which a surface deviates from being a plane.

See Dini's surface and Curvature

Generalized helicoid

In geometry, a generalized helicoid is a surface in Euclidean space generated by rotating and simultaneously displacing a curve, the profile curve, along a line, its axis.

See Dini's surface and Generalized helicoid

Geometry

Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures.

See Dini's surface and Geometry

Parametric equation

In mathematics, a parametric equation defines a group of quantities as functions of one or more independent variables called parameters.

See Dini's surface and Parametric equation

Pseudosphere

In geometry, a pseudosphere is a surface with constant negative Gaussian curvature.

See Dini's surface and Pseudosphere

Surface (mathematics)

In mathematics, a surface is a mathematical model of the common concept of a surface.

See Dini's surface and Surface (mathematics)

Tractrix

In geometry, a tractrix (plural: tractrices) is the curve along which an object moves, under the influence of friction, when pulled on a horizontal plane by a line segment attached to a pulling point (the tractor) that moves at a right angle to the initial line between the object and the puller at an infinitesimal speed.

See Dini's surface and Tractrix

Ulisse Dini

Ulisse Dini (14 November 1845 – 28 October 1918) was an Italian mathematician and politician, born in Pisa.

See Dini's surface and Ulisse Dini

See also

Surfaces of constant negative curvature

• Dini's surface

References

[1] https://en.wikipedia.org/wiki/Dini's_surface

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