Bridges 2026 Exhibition of Mathematical Art, Craft, and Design
Kodai Nakagawa, Kyoka Uchida, Tomohiro Tachi
Artists
Kodai Nakagawa
Architecture Student
Department of Architecture, Faculty of Engineering, The University of Tokyo
Tokyo, Japan
Kyoka Uchida
Artist
Meiji University
Japan
Tomohiro Tachi
Professor
Graduate School of Arts and Sciences, The University of Tokyo
Tokyo, Japan
Statement
I explore ways of reconstructing geometry so that the logic of it directly determines how it is constructed. Through this process, the works reveal aspects of geometry that are difficult to perceive otherwise. By reconstructing abstract geometry through manual construction with real materials, I aim to make its clarity and beauty more tangible in the physical world.
Artworks

Wire Construction of the Hyperbolic Honeycomb {5,3,4}
120.0 x 120.0 x 120.0 cm
stainless (wire rope), brass (fasteners)
2025
The hyperbolic honeycomb {5,3,4} has three geodesics crossing orthogonally to each other at each vertex, and this property is maintained even when the honeycomb is represented in the Poincaré ball model because of the conformal property of the metric. Inspired by this property, we designed a fastener which fixes three wire ropes orthogonally and constructed a physical model of the honeycomb with the fastener. 760 fasteners and 960 wire ropes were assembled to form this model, which is approximately one meter in diameter.