A Succinct Proof of Defant and Kravitz’s Theorem on the Length of Hitomezashi Loops
摘要
We provide a much shorter proof of Defant and Kravitz’s theorem that the length of Hitomezashi loops is congruent to 4 modulo 8. Our novel idea is to consider the length module 8 for Hitomezashi paths that take an excursion in a half-plane region.