Masanori Nakayama, Issei Fujishiro
In the present work, we attempted at expressing human “two-facedness” by the “two-sidedness” of the 3D structures. In the field of geometry, there exists a two-facedness called “duality,” which represents the relationship between diagrams that switch between faces (cells) and vertices. Delaunay diagram and Voronoi diagram give a typical example. We have developed an algorithm to generate a Poisson-disk distribution in an arbitrary shape to make sculptures with those diagrams. The Delaunay diagram generated by Poissondisk distribution point cloud makes up the uniform tetrahedral mesh (except for the surface). Since those cells are close to a regular tetrahedron, Voronoi vertices located on the circumcenters also have an almost uniform distribution.