Diophantine equations related to quasicrystals: a note

Details Diophantine equations related to quasicrystals: a note Diophantine equations related to quasicrystals: a note

2001-12-10

arxiv.org/abs/math-ph/0112016v1

Theoretical and Mathematical Physics 115, 737-739 (1998)

Physics

Mathematical Physics

4 pages

Scientific paper

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.

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