Digital Fabrication - 2D Triangular Mesh Optimization

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TRIANCULAR MESH OPTIMIZATION Digital Design and 2D - Fabrication

The project consists in the fabrication of an arbitrary toroidal surface using a triangular mesh, meaning the surface should be solved with triangles. The triangles are optimized to get the least singularities possible, getting a second mesh, where worked with the size of the triangles to get an approximate surface. After this, we used Kangaroo to push the mesh, in order to approximate it to the original with the most equilateral triangles possible, to finish with the fabrication process. To prototizing the geometry first choos the most efficient and longest “paths� to unroll in order to easy the cutting and subsequent assembly.

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original arbitrary surface

Tracing the optimal path of the strips, and the starting point of the unrolling

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post- Opt.

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defining triangular mesh. Topological control of geometry through singularities pentagons and heptagons in a hexagonal grid

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Unrolling the most optimized strips

adding definition to the triangulation

pushing mesh to original geometry

optimized triangular mesh

Prototyping surface

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triangular mesh unrolled stripes, panels ready to fabrication

Partial mesh, defining pattern variation and unrolled stripes. Modeling programs accept as mesh only polygons composed of 3 or 4 vertices. Each strip has been programmed as a collection of more triangular faces.

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