Here is a first example illustrating in animated fashion the effects of lattices rotating on top of each other - an important concept in grain boundary theory.

Link to the newest version of this page without insets

Animation: Two-Dimensional Coincidence Lattices Obtained by Rotating Two Hexagonal Lattices

The animation rotates a hexagonal lattice on top of an identical one. For certain angles some lattice points coincide: this is shown for a few seconds.
Due to small aberrations in the drawings, the coincidence is not perfect, but close enough to show the development of a "Coincidence Site Lattice"
 


A lot more could be in this context by animations. But, all things considered, maybe it would be more useful to implement a JAVA applet for all possible situations than to produce many individual animations?


Back to the "Guided Tour" home page