Help with symmetry and group of a 2D surface embedded in 3D Euclidean space.

I have been making math-based sculptures using a 3D printer and other techniques. For a few months I have been working with the approximate gyroid surface in Cartesian coordinates defined by

Cos(y) Sin(x)+ Cos(z) Sin(y) + Cos(x])Sin(z) = 0 for real 0 <= x, y, z <= 2 pi.

This is periodic, of course, in each of the three coordinates, but I am only considering one period of each as a connected surface of genus... I think genus 3. At this point I need a little bit of help understanding the symmetry properties of the algebraic expression and the geometric figure. I would estimate this at about 1-3 hours assuming the teacher is familiar with 3D symmetry operations and defining the appropriate group. I am not conversant with that.

Taidot: Matematiikka

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Tietoa työnantajasta:
( 1 arvostelu ) Cherry Hill, United States

Projektin tunnus: #26783650

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Dear Hiring Manager, I am working for many years in the solid state theory and familiar with both point and space symmetry of periodic systems. The symmetry of Your surface is quite apparent. I could prepare some illus Lisää

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For the last two years I have been teaching mathematics and physics to other students. I am especially good in the fields of geometry, algebra, dynamics and kinematics. Also I have been to many competitions in these a Lisää

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How are you ! Please call me Tatyana Pichinenko. Graduated from the Mathematics faculty of a University 12 years ago. Good solving of Problems: from middle school to University. I am very excited with your pro Lisää

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Hi, Good day. I read your project description very carefully. I've really rich experience in Mathematics. Besides I have Doctor Degree and excellent programming skills. If we have a opportunity to work together, I'll d Lisää

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