Diophantine equations related to quasicrystals: a note
arXiv:math-ph/0112016 · doi:10.1007/BF02575496
Abstract
We give the general solution of three Diophantine equations in the ring of integer of the algebraic number field ${\bf Q}[{\sqr 5}]$. These equations are related to the problem of determination of the minimum distance in quasicrystals with fivefold symmetry.
4 pages