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2 results for phyllotaxis

This paper characterizes spiral Delone sets in higher dimensions.

problem To extend the theory of spiral sets to higher dimensions and show the existence of spiral Delone sets.
method Characterized Delone property of spiral sets in terms of packing and covering conditions for spherical sequences.
result Construction of explicit spiral Delone sets in \(\mathbb{R}^n\) for all \(n \ge 2\).