Gabriele Meyer
I like to crochet hyperbolic surfaces. My contribution to the area was
to crochet around shaped line, thus making the resulting surface curve
in three dimensions. The technique is a composite of crocheting and
basket making. Over the last several years my surfaces have become
larger and require to be hung from the ceiling to preserve their
integrity (so that they don't deform) and also for the visual impact.
For this reason my submission consists of three images of more recent
work.
I am very happy, that with my crocheting I am picking up on a very
traditional European women's craft and giving it a new spin,
connecting it to Mathematics.
The forms are inspired by ocean creatures like sea anemones, algae,
also by flower blossoms and, surprisingly, by surfaces encountered in
topology.
The lamp shade is my most recent experiment as a light sculpture.
It started out as a flat disk. Then I very gradually started the
hyperbolic crochet, causing the waves at the perimeter.
With energy saving light bulbs which don't heat up, I could hang
the surface within 10 cm of the bulbs. There is no burn risk. The
holes in the crochet also help the warmer air circulate up and
away from the crochet.
The hyperbolic half plane was one of my earlier experiments. The motivation was to make a surface that was of interest mathematically, to a topologist, and also make it look nice when hung up.
The large blue triangle surface has a length of over 2 m. It was inspired by Ayelet Lindenstrauss-Larson's work on a smaller scale. It's literally a triangle, one side in shades of dark blue and the other in shades of light blue. The hyperbolic crochet causes it to warp.