Joerg Arndt and Julia Handl

Statement

Two plane-filling curves on the triangular and the tri-hexagonal grid. The colorization makes the self-similarity visible: one curve consists of 13 small copies of itself, the other of 25. These two curves were discovered by Joerg Arndt in 2013, amongst about one million new such curves. See http://arxiv.org/abs/1607.02433 for in-depth information about these curves.

Artworks

A plane-filling curve on the tri-hexagonal grid. It consists of 25 smaller copies of itself.

A plane-filling curve on the triangular grid. It consists of 13 smaller copies of itself.