2024 Joint Mathematics Meetings
Gabriele Meyer
Artists
Statement
I love sea shells and admire their varied forms and patterns. They were an inspiration to both my hyperbolic crochet and my linoleum prints. As a youth I realized that the lines, patterns and shapes can be explained mathematically, which provided an impetus to go into this field, since it provided a stable income. Now that I am retired, I can devote my time to depict shells and make hyperbolic crochet surfaces, which I love doing. In both areas I emphasize the mathematical aspects such as the patterns on shells and their shapes, also the play of light and shadows on them.
Artworks
This print shows a murex ramosus, the snail that the ancients used to make the color purple, and a fig snail. The murex’ opening looks like a fractal line, very curvy, and these curves repeat two more times as you turn the snail around its central axis.
As a contrast, the fig snail is characterized by smooth curves spiraling around the snail’s axis. There are other lines that appear to be parallel to the central axis. Depending on the location on the snail one set of lnes appears more pronounced than the other. This is a very delicate snail and actually much smaller than the murex. But I wanted to emphasize the contrast of the lines.
The noble volute has a pattern that is created by biology’s version of a Rule 30 cellular automaton (Wolfram 1983), displaying aperiodic chaotic behavior.
The whelk shows a lovely pattern on its spiral form also and the clam embodies a central dilation.