Lidinoid
![](http://upload.wikimedia.org/wikipedia/commons/thumb/c/c5/Lidinoid_surface.jpg/220px-Lidinoid_surface.jpg)
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[]
- ^ 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.
- ^ 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.
- ^ "The lidionoid in the Scientific Graphic Project". Archived from the original on 2012-12-20. Retrieved 2012-09-15.
External images[]
Categories:
- Minimal surfaces
- Differential geometry of surfaces
- Differential geometry stubs