DIGITAL FABRICATION: NGONS
An N-Gon is a polygon that features more than four vertices and edges. In this project, we highlight a collection of non-planar polygonal pyramids, where the base polygon's vertices are not coplanar. These pyramids possess a remarkable property: the sum of their angles at the top vertex equals 2π. To achieve this, we generated and analyzed non-planar polygons from an arbitrary mesh, ultimately shaping the final structure.
CONCEPT
1- Planar polygonal pyramid ( Spherical)
2- Planar polygonal pyramid (Euclidian)
3- Non-Planar polygonal pyramid (Spherical)
4- Non-Planar polygonal pyramid (Hyperbolic)
5- Non-Planar polygonal pyramid (Euclidian) This pyramid has a sum of angles equal to 2pi on vertex T.
CONCEPTION STEPS
1- Initial Mesh
2- Dual Graph
3- Result
Dynamic relaxation: Centroids moving along the normals to find position closest to result in zero angle defect
UNFOLDING
1- Unfolding process to get a 0 angle defect
2- Result
STRIPPING NGON MESH FOR ASSEMBLY
FINAL RESULT
