Julia Handl, Marvin Dittrich, Jörg Arndt
About the artists:
Julia Handl: the math-art girl
Marvin Dittrich: the design dude
Jörg Arndt: the math geek
When a math-art girl, a design dude and a math geek give plane-filling curves a good twirl, anything's possible. Light changes color, folds glow, math is fun.
The artwork is a lamp using LEDs, built like a glowing picture
frame. The front shows four copies of a plane-filling folding
curve on the square grid. Curves like this are generated by
folding morphisms.
We describe the curve shown using Lindenmayer systems with maps L
|--> L+R-L-R-L+R+L-R-L+R and R |--> L-R+L+R-L-R+L+R+L-R and use a
rounding parameter of 1/2.
The four curves form a tile with two-fold rotational symmetry with
the axiom L+R+L+R.
The curve at the top and the one at the bottom are omitted, the
other two curves are filled with veneer (birch and cherry). The
engraving indicates how the curves fill the whole plane. More
information can be found in „Plane-filling Folding Curves on the
Square Grid“ by Arndt and Handl.