Bridges 2025 Exhibition of Mathematical Art, Craft, and Design
Hans de Koning, Tom Verhoeff
Artists
Tom Verhoeff
Assistant Professor Computer Science
Eindhoven University of Technology
Eindhoven, Netherlands
Hans de Koning
Artist
Free artist
Eindhoven, Netherlands
Statement
Tom Verhoeff got involved in mathematical art through his father, Koos Verhoeff. He wrote extensively about the work of Koos, and inspired by this occasionally makes his own discoveries and designs.
Artworks

This sculpture is a pretty 3D polygon (see “Pretty 3D Polygons: Exploration and Proofs”, Melissa van Veenendaal and Tom Verhoeff, Proceedings of Bridges 2021, pages 111–118, https://archive.bridgesmathart.org/2021/bridges2021-111.html), with roll angle 𝜓=90º, roll angle signs (+++---)³, and turn angles alternating between 𝜑=90º and 𝜑≈151.6º (more precisely: 𝜑 satisfying 3√2 cos(𝜑/2) - √2 cos(3𝜑/2) = 2) . Thus, the 18 beam segments are all congruent. The beam segments have a square cross section and are connected by miter joints. It won the second place in the Wolfram Computational Art Contest 2022. Hans de Koning constructed the wooden version of the sculpture submitted for this exhibition.