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GYROID


Surface studied and named by A. H. Schoen in 1970.
Alan Hugh Schoen (1924-...): American Mathematician.
Websites:
English Wikipedia
Alan H. Schoen's page
meet the gyroid
www.susqu.edu/brakke/evolver/examples/periodic/gyroid/gyroid.html
Scherer's PhD thesis
bugman123.com/MinimalSurfaces/index.html

 
 
The gyroid is a triply periodic minimal surface the fundamental patch of which is reproduced opposite.

The opposite figure is based on the equation that gives a non-minimal surface close to the true gyroid.
 

The fundamental patch is composed of 8 isometric skew hexagons, six of which have a vertex at the center of the patch.
The complete gyroid separates the space into two isometric domains, like the Schwarz P surface.

Compare to the Neovius surface.
 

Gyroid intersected by a sphere, by Alain Esculier

Where?????

 

Similarities with the brain coral...

or with a shower flower brush...

 


Engravings of gyroids with curvature lines and asymptotic lines, by Patrice Jeener, with its generous authorization.


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© Robert FERRÉOL  2017