Plane-filling Curves on Transitive Grids

Jörg Arndt and Julia Handl
Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture (2016)
Pages 537–540


We present constructions for plane-filling curves on some of the transitive grids of the plane. Our starting point are curves on grids that traverse every edge once. These curves are converted into curves that traverse every point once.