An Integer Square Variant of the Harriss Spiral

Year: 2023 Authors: D. Jacob Wildstrom

Core claim

A Harriss-spiral-style rectangle decomposition can be realized with integer side lengths using a recurrence tied to the Padovan sequence.

Topics

self-similar spirals, integer rectangle decomposition, Padovan sequence, crochet design

Domains

recurrence relations, number sequences, rectangular proportions, self-similarity, textile craft, crochet, granny squares, quilting

Methods

geometric decomposition, sequence analysis, recurrence derivation, comparative construction

Media

crochet, granny-square afghan, rectangles, quarter circles

Source status

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