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

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.