The first is the joint work of Prof. Shigeki Akiyama and Yoshiaki Araki.
https://arxiv.org/abs/2307.12322
And here’s another similar but simpler proof by someone mysteriously known as mathblock8128.
mathblock8128.wordpress.com/2023/08/15/the-turtle-prototile-is-not-periodic-a-simple-proof-2/
