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

yoshikoisaburokoko0124@g.ecc.u-tokyo.ac.jp

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Tomohiro Tachi

Professor

Graduate School of Arts and Sciences, The University of Tokyo

Tokyo, Japan

tachi@idea.c.u-tokyo.ac.jp

origami.c.u-tokyo.ac.jp

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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

Image for entry 'Wire Construction of the Hyperbolic Honeycomb {5,3,4}'

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.