SMRTR Science & EngineeringAug 6, 2025John D. Cook

Making the two-dimensional one-dimensional

SMRTR summary

A technique for transforming 2D structures into 1D forms while preserving proximity relationships is explored. Examples include postal codes, Traveling Salesman tours, and Hilbert curves. A recent discovery provides closed-form expressions for calculating position numbers in a zigzag spiral pattern, effectively converting a 2D grid into a 1D sequence while maintaining spatial relationships.

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