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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).

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 a Schwarz H surface. It belongs to space group 230(Ia3d).

The Lidinoid can be approximated as a level set:

${\displaystyle {\begin{aligned}(1/2)\\-&(1/2)+0.15=0\end{aligned}}}$

References

1. Lidin, Sven; Larsson, Stefan (1990). "Bonnet Transformation of Infinite Periodic Minimal Surfaces with Hexagonal Symmetry". J. Chem. Soc. Faraday Trans. 86 (5): 769–775. doi:10.1039/FT9908600769.
2. Adam G. Weyhaupt (2008). "Deformations of the gyroid and lidinoid minimal surfaces". Pacific Journal of Mathematics. 235 (1): 137–171. doi:10.2140/pjm.2008.235.137.
3. "The lidionoid in the Scientific Graphic Project". Archived from the original on 2012-12-20. Retrieved 2012-09-15.

External images

• The lidinoid at the minimal surface archive
• The lidinoid in the Scientific Graphic Project

v t e Minimal surfaces
Associate family Bour's Catalan's Catenoid Chen–Gackstatter Costa's Enneper Gyroid Helicoid Henneberg k-noid Lidinoid Neovius Richmond Riemann's Saddle tower Scherk Schwarz Triply periodic

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