The SpHidron Conjecture

Dániel Erdély
Proceedings of Bridges 2011: Mathematics, Music, Art, Architecture, Culture (2011)
Pages 373–378 Regular Papers


The SpHidron is a curved development of the original Spidrons [1-6], which were composed of plain triangles. The flat-foldability of the SpHidron surface is debated. Some of the opponents1 who contend that it is impossible say that this makes the original Spidron deformation - which was proven mathematically in 2004 by Lajos Szilassi - even more interesting. In my paper I present arguments for the flat-foldability of the curved and twisted SpHidron vortices. I hope that these ideas can lead to the mathematical solution of the problem.