Lidinoid

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Lidinoid in a unit cell.

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[edit]

  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

External images[edit]