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Lidinoid

Index Lidinoid

In differential geometry, the lidinoid is a triply periodic minimal surface. [1]

7 relations: Associate family, Differential geometry, Gyroid, Level set, Minimal surface, Space group, Triply periodic minimal surface.

Associate family

In differential geometry, the associate family (or Bonnet family) of a minimal surface is a one-parameter family of minimal surfaces which share the same Weierstrass data.

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Differential geometry

Differential geometry is a mathematical discipline that uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra to study problems in geometry.

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Gyroid

A gyroid is an infinitely connected triply periodic minimal surface discovered by Alan Schoen in 1970.

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Level set

In mathematics, a level set of a real-valued function ''f'' of ''n'' real variables is a set of the form that is, a set where the function takes on a given constant value c. When the number of variables is two, a level set is generically a curve, called a level curve, contour line, or isoline.

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Minimal surface

In mathematics, a minimal surface is a surface that locally minimizes its area.

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Space group

In mathematics, physics and chemistry, a space group is the symmetry group of a configuration in space, usually in three dimensions.

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Triply periodic minimal surface

In differential geometry, a triply periodic minimal surface (TPMS) is a minimal surface in ℝ3 that is invariant under a rank-3 lattice of translations.

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HG surface.

References

[1] https://en.wikipedia.org/wiki/Lidinoid

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