2024/06/08 by Ozkaraca, Mustafa Ismail
#FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.2406.05583
Can you stretch and reform a curve such that it fills a square completely? This question dates back to 18th century, the origin of space-filling curves. It was proved affirmatively by many great mathematicians. In this document, we reconsider the problem and present a different proof using Cartesian product of Fibonacci substitution with itself. Our construction differs from other curves by design.