# Joerg Arndt and Julia Handl

Professor of computer science

Technische Hochschule Nuremberg, Germany

Nuremberg, Germany

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.

Curve R13-15 on the triangular grid

67 x 49 cm

Color print on laminated white plastic

2016

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

Curve R25-11 on the tri-hexagonal grid

67 x 49 cm

Color print on laminated white plastic

2016

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