“Lidinoid”的意思、由来-开放百科全书

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Lidinoid

释义

References
External images

In differential geometry, the lidinoid is a triply periodic minimal surface. The name comes from its Swedish discoverer Sven Lidin (who called it the HG surface).^[1]

It has many similarities to the gyroid, and just as the gyroid is the unique embedded member of the associate family of the Schwarz P surface the lidinoid is the unique embedded member of the associate family of the Schwarz H surface.^[2] It belongs to space group 230(Ia3d).

The Lidinoid can be expressed as a level set:^[3]

References

1. ^{{cite journal |first1=Sven |last1=Lidin |first2=Stefan |last2=Larsson |title=Bonnet Transformation of Infinite Periodic Minimal Surfaces with Hexagonal Symmetry |journal=J. Chem. Soc. Faraday Trans. |year=1990 |volume=86 |issue=5 |pages=769–775 |doi=10.1039/FT9908600769}}
2. ^{{cite journal |author=Adam G. Weyhaupt |title=Deformations of the gyroid and lidinoid minimal surfaces |journal=Pacific Journal of Mathematics |volume=235 |year=2008 |issue=1 |pages=137–171 |doi=10.2140/pjm.2008.235.137}}
3. ^[https://secure.msri.org/about/sgp/jim/papers/morphbysymmetry/lidinoid/index.html The lidionoid in the Scientific Graphic Project]

External images

The lidinoid at the minimal surface archive
[https://secure.msri.org/about/sgp/jim/papers/morphbysymmetry/lidinoid/index.html The lidionoid in the Scientific Graphic Project]

2 : Minimal surfaces|Differential geometry of surfaces

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