Bridges 2024 Exhibition of Mathematical Art, Craft, and Design

Uli Gaenshirt

Artists

Uli Gaenshirt

Sculptor and Researcher

Nuremberg, Germany

uli.gaenshirt@gmail.com

Statement

I gained my experience in art as a trained stone mason, wood carver and academic sculptor. As a cultural worker, I was responsible for the technical organization and installation of art exhibitions for 15 years. In 2007, my self-taught research on a new quasiperiodic growth algorithm (Quasiperiodic Succession) was published in the prestigious scientific journal Philosophical Magazine (first issue 1798!). Encouraged by this and with the support of a volonteer exhibition group (komm-bildungsbereich), I began to bring mathematical content to live through self-made hands-on objects and artistic representations. My pictures from the gallery „Quasicrystalline Wickerwork“ can be seen in IMAGINARY exhibitions worldwide.

Artworks

Image for entry 'Devilline's Talk'

Devilline's Talk

70.0 x 70.0 cm

Digital print

2024

This Renaissance-style image analyzes a problem briefly touched on in Figure 2(b) in my Bridges2024 paper on a quasiperiodic Girih pattern. Devilline points approvingly with her right hand to the Penrose tiling in the left half of the image, but disapproves of the LqLqLq Ammann bar sequence (Lq = LSLSL) on the opposite half, which was manipulated by the little devil above. She exposes this sequence as invalid, using a 1-dim cut of the quasiperiodic succession algorithm, which requires that every horizontal line that delimits a vertical yellow average length L-av must fall in the middle subinterval of an L or S bar. The Lq-triple prevents a rule-compliant continuation for the Penrose rhombs, as these must correlate with the Ammann bars.