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arXiv · 2507.16171

Analysis of Design Algorithms and Fabrication of a Graph-based Double-curvature Structure with Planar Hexagonal Panels

Mehdi Gorjian·Gregory A. Luhan·Stephen M. Caffey
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Abstract

This paper presents a novel algorithmic framework for the computational design, simulation, and fabrication of a hexagonal grid-based double-curvature structure with planar hexagonal panels. The journey begins with constructing a robust data structure through the meticulous subdivision of an equilateral triangle surface, forming a foundational triangular grid. This grid is the basis for a graph that encapsulates hexagons, laying the groundwork for simulating dynamic interactions and form-finding. The developed algorithm ensures a well-structured hexagonal grid data representation, and the experimental results showcase the successful implementation of the algorithm, leading to the fabrication of planar hexagons mirroring physics-generated mesh surfaces.

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Mehdi Gorjian, Gregory A. Luhan, Stephen M. Caffey. 2025-07-22. Analysis of Design Algorithms and Fabrication of a Graph-based Double-curvature Structure with Planar Hexagonal Panels. https://arxiv.org/abs/2507.16171

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