Lidinoid

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 a Schwarz H surface.^[2] It belongs to space group 230(Ia3d).

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

\begin{matrix} (1 / 2) [ & \sin (2 x) \cos (y) \sin (z) \\ + & \sin (2 y) \cos (z) \sin (x) \\ + & \sin (2 z) \cos (x) \sin (y)] \\ - & (1 / 2) [\cos (2 x) \cos (2 y) \\ + & \cos (2 y) \cos (2 z) \\ + & \cos (2 z) \cos (2 x)] + 0.15 = 0 \end{matrix}

References

^ Page Module:Citation/CS1/styles.css has no content.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.
^ Page Module:Citation/CS1/styles.css has no content.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.
^ Page Module:Citation/CS1/styles.css has no content."The lidionoid in the Scientific Graphic Project". Retrieved 2012-09-15.{{cite web}}: CS1 maint: deprecated archival service (link)

Lua error in package.lua at line 80: module 'Module:Navbox/configuration' not found.