Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I have two planes stacked on top of each other. Each plane looks like this:

Hexagonal

Each plane, however, has a different hexagonal side length (the first plane has hexagons with side length $a$ and the second plane has length $b$).

I am trying to figure out what angle I most rotate the $a$ plane in order to make each "unit cell" periodic. In other words, each ring in each plane should correspond to a ring below it, just with a different rotation.

share|improve this question
    
Don't know if it helps, but $(x,y)$ is a period of the lattice iff $(x,y)=(\frac{3n}2 a,\frac{m\sqrt 3}{2}a)$ where $n\equiv m\pmod 2$. It looks like you ant to find such a period for $a$ and another for $b$ of the same length ... –  Hagen von Eitzen Jun 27 '13 at 17:14
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.