Technology Category
Planning, Routing, and Scheduling: Mixed Discrete/Continuous PlanningSearch and Optimization: Mixed Discrete/Continuous SearchMachine Learning: Learning with Manifolds
Analysis of Design Algorithms and Fabrication of a Graph-based Double-curvature Structure with Planar Hexagonal Panels
🤖 AI Summary
This work addresses the computational design and physical fabrication challenges of doubly curved hexagonal grid structures. We propose a graph-theoretic framework based on equilateral triangular subdivision to enable fully automatic mapping from regular triangular meshes to planar-developable hexagonal panel structures. The method integrates mesh subdivision, graph modeling, parametric form-finding, and dynamic simulation, with closed-loop optimization via digital simulation and physical experimentation. Our key contribution is a geometrically feasible and constructively robust data structure that guarantees all hexagonal panels are strictly developable and accurately approximate the target doubly curved surface. Experimental validation shows sub-0.5% deviation between fabricated components and simulated geometry; a full-scale prototype was successfully built. This approach establishes a scalable computational paradigm for discrete fabrication of complex curved surfaces.
Technology Category
Application Category
📝 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.
Problem
Research questions and friction points this paper is trying to address.
Develop algorithm for hexagonal grid-based double-curvature structure
Simulate dynamic interactions and form-finding using graph-based approach
Fabricate planar hexagonal panels reflecting physics-generated mesh surfaces
Innovation
Methods, ideas, or system contributions that make the work stand out.
Algorithmic framework for hexagonal grid design
Graph-based dynamic interaction simulation
Fabrication of planar hexagonal panels
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