Artists

Tom Verhoeff

Assistant Professor Computer Science

Eindhoven University of Technology

Eindhoven, Netherlands

T.Verhoeff@tue.nl

https://www.linkedin.com/in/tverhoeff

Hans de Koning

Artist

Free artist

Eindhoven, Netherlands

dekoning.jc@gmail.com

https://www.poetry-in-wood.com

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

Image for entry 'Sculpture from 18 Congruent Pieces'

Sculpture from 18 Congruent Pieces

20.0 x 25.0 x 25.0 cm

Wood (merbau)

2022

Additional info

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.