An approximate Jerusalem square whose side equals a Pell number
Franck Ramaharo
TL;DR
This paper introduces an integer-based approximation of the Jerusalem square fractal using Pell numbers, leveraging their properties to create a new geometric construction.
Contribution
It presents a novel method for constructing an approximate Jerusalem square fractal utilizing Pell numbers, bridging number theory and fractal geometry.
Findings
Constructed an integer version of the Jerusalem square fractal
Demonstrated the use of Pell numbers in geometric fractal approximation
Provided a new link between number theory and fractal design
Abstract
We take advantage of the properties of the Pell numbers to construct an integer version of the Jerusalem square fractal.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Fractal and DNA sequence analysis · Computability, Logic, AI Algorithms