@ [ u t o ] The Geometry of Bending. Space Symmetry Structure. MATSYS. Geometry, Surfaces, Curves, Polyhedra. The following is a random collection of various topics in geometry the author has explored or simply documented over the years. Many of the topics include source code illustrating how to solve various geometric problems, or to assist others recreating the geometric forms presented. Notes on polygons and meshes Includes Surface (polygon) simplification, Clipping a polygonal facet with an arbitrary plane, Surface Relaxation and Smoothing of polygonal data, Mesh crumpling, splitting polygons, two sided facets, polygon types, tests for clockwise and concavity, clipping line to polygons, area of a 3D polygon, area of general polygons, determining inside/outside test, intersection of a line and a facet, Eulers numbers.
Notes on points, lines and planes Includes calculations for the distance between points, lines and planes. The intersection between 2 lines in 2D and 3D, the intersection of a line with a plane. Notes on circles, cylinders and spheres Includes equations and terminology. nCodon. Morphogenesism. ModeLab. LIFT architects - Home. Rinus Roelofs - Rhinoceros. Edizioni Le Penseur. Food4Rhino | The plug-in community service by McNeel. Designalyze - designalyze: the analysis of design. WooJae's Blog. Rhino Tech Tips. Un didi. Grasshopper (Explicit History) Same Area Voronoi using Galapagos I have been quite fascinated by the recent development of Galapagos for Grasshopper. This is a simple example of its application set up to solve for a 10-point voronoi division within a user-defined boundary where all the parts are divided as equally as possible in terms of their areas.
I ran this with an initial population of a hundred for 200 generations. The results are not 100% perfect, but very close (which is the nature of an evolutionary solver I believe). Gradient Patterns Testing different patterns with grasshopper. Pagora Bench Playing with hopper and Maxwell 2 Two Surfaces Twisted Box It’s been a while I’ve played with Grasshopper. In order to use the definition, first define a box, and some geometries within the box as your base component. Two Surface Space Frame (Rhino Explicit History) Ah so, the new version of the Explicit History plug-in for Rhino is out. Crtli_gh_space_frame.wrmcrtli_gh_space_frame.3dm.