A Hacker News thread discusses a new family of non-periodic tilings described in an arXiv paper by Miki Imura, showcasing a "new kind of structural regularity" and originating from a spiral tesselation. User jameshart suggests the tile shapes, aesthetically pleasing, should be commercially produced for ceramics or pavers. ThalesX, inspired by the "Einstein tiles," envisions a business dedicated to these intricate tiling patterns. User 0y links to a relevant social media post by Jan Sallmann-Räder. User birn559 points out the last part of Räder's name translates to wheel. The paper is praised for being describable with elementary tools, making it accessible. A user asks how these tilings differ from other non-periodic tilings. joshu, a follower of Imura's work on social media, provides additional context and information.