Discrete Gyroid Surface

Year: 2019 Authors: Ulrich Reitebuch; Martin Skrodzki; Konrad Polthier

Core claim

A piecewise planar gyroid can be constructed with the same symmetries as the smooth triply periodic minimal surface and shown discrete minimal by vanishing area gradients at its vertex types.

Topics

triply periodic minimal surfaces, surface symmetries, discrete geometry, translational units

Domains

minimal surfaces, discrete differential geometry, symmetry groups, Plateau’s problem, geometric sculpture, mathematical visualization, architectural form, 3D model design

Methods

piecewise planar construction, symmetry analysis, area gradient computation, vertex classification

Media

triangles, vertices, edge-midpoint geometry, box-based translational unit

Source status

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