Bridges 2026 Exhibition of Mathematical Art, Craft, and Design
Yoshihiko MURAKAMI
Artists
Statement
Based on torus equation, my abstract sculptures explore the hidden mathematical structures behind natural phenomena. Trained in science and working in Japan, I have developed a practice that connects analytical thinking with traditional sensitivity to form and balance. Using software and 3D printing, I transform numerical relationships into tangible sculptural objects. This yearβs work originates from torus formulas, with pipe-like trajectories whose thickness changes according to spatial coordinates. Through these forms, I hope viewers can sense the beauty of circular motion and rotational dynamics. Each artwork is 10 cm in diameter.
Artworks
Rotational Structures from Torus Knots
15.0 x 35.0 x 15.0 cm
ABS plastic
2025
These sculptures are generated from trajectories related to torus knots. A torus knot is traditionally defined by periodic windings, typically described by parametric equations with integer parameters π and π. In this work, the parameters π and π are extended to real values, producing non-closed trajectories on the torus. The curves are discretely sampled and used as guiding paths for constructing tubular elements. Repetition of the trajectory produces petal-like apertures and dense spatial bundles, revealing symmetries inherent in toroidal geometry. Although derived from simple mathematical definitions, the resulting structures exhibit complex forms reminiscent of organic growth. The resulting forms were fabricated using 3D printing.