Lidinoid

Today we want to talk about Lidinoid, since it is a topic that has gained relevance in recent times. Lidinoid has captured the attention of people of all ages and interests, as its influence extends to various areas of daily life. From politics to entertainment, Lidinoid has left a significant mark on the world today. In this article, we will explore the various aspects related to Lidinoid, from its history to its impact on today's society. We are sure that you will find interesting and relevant information about Lidinoid that will allow you to better understand this phenomenon and its importance today.

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]

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