Wire Construction of the Costa Surface and a Torus

Year: 2023 Authors: Kodai Nakagawa; Tomohiro Tachi

Core claim

A common flat-torus domain yields orthogonal grids on the Costa surface and torus that can be realized as finite wire-rope sculptures for rational slopes.

Topics

conformal mapping, orthogonal grids, wire sculpture, minimal surfaces

Domains

differential geometry, minimal surfaces, topology, complex analysis, sculpture, mathematical art, fabrication design, kagome pattern

Methods

flat torus parameterization, line mapping, CAD computation, wire-rope assembly

Media

wire ropes, metal fasteners, Rhinoceros and Grasshopper, 3D surface models

Source status

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