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.

Grasshopper Modules - Proxy Wiki From Phylogenesis, FOA 2003 The following Grasshopper modules were created in consultation with FOA's Phylogenesis, in particular the taxonomy of forms found at the conclusion of the book. Grasshopper is an exciting and evolving modeling platform - the following examples attempt to develop a range of geometric examples to explore its form-making potentials. Andrew Payne, a GSAPP alum, has created a comprehensive primer on Grasshopper that can be found here. You should have this handy for reference. Helpful Modules These modules are provided to supplement Grasshopper with a few simple features. Truss Module Grasshopper 3D Truss This module creates an offset truss from a given surface. Point Topology The simplest form of data to work with, points can be propagated into 3D space and can have geometry mapped to them. A Matrix is a 3-Dimensional point set, interpreted as a field of voxels. Download Rhino File Matrix.3dmDownload Grasshopper definition Example-Matrix.ghx Line Topology

ClosestPoints 02 ///////////////////////////////////////////////// Dec07// Master degree at Politecnico di Torino with a computational design thesis TMD_tsunami memorial design competition, network as design tool::: prof.Roberto Apostolo, prof.Mario Grosso, Arch.Andrea GrazianoJan08// Join at studioGriffa, Turin as project architectFeb08// at DRL TEN exhibition, Architectural Association, London with K_pavilion project ::: visiting Zaha Hadid Architects London, attends co|de lecture: Shajay Booshan, Danilo Arsic Feb08// K_pavilion publicated at DRL TEN book.Mar08// UIA infopoint competition.May08// MCA, Mario Cucinella architects "Una stanza di luce" workshop at Cavallerizza Chiablese, TurinJun08// Workshop “Parametric Architecture” tutors Ludovica Tramontin Asp(e)x and Erich Schoenenberger(Su11 architecture+design, Pratt Insitute, NY, USA)Jul08/// Torino World Design Summer School “Prototyping the city” assistant tutor of EcologicStudio-Architectural Association, NSU-GSAPP-Columbia University and Politecnico di Torino+ Configuration 0 project.

Grasshopper::Lists, Paths, and Trees G03 Due: April 24 at the start of class Spider-webs and Doilies Manipulating Grasshopper data-trees is hard, even when you understand the concept. This exercise is intended to allow a many "right" answers to be established, from relatively simple to more complex. See how far you can go with it. Some examples are shown at the bottom of this page. There is no starting-point file for this -- just open a blank Rhino and Grasshoper file and start in! Fast 3d slicer Ive worked all the day in this definition and I hope you like it. With this you can: -make ribs with notches -use the sliders to specify the x and y spacing of a rectangular grid or -use a custom grid (for this you just need 2 sets of lines) -specify the thickness of the material -atomatically place and order the ribs with labels for cut -use a 3d guide for construction -Run or stop the definition It has torus example inside with the custom grid option on. For now (and its just today) all the geometry I sliced worked perfectly. Any suggestions will be very welcome!

IsoCurveSurface 04 ///////////////////////////////////////////// Dec07// Master degree at Politecnico di Torino with a computational design thesis TMD_tsunami memorial design competition, network as design tool::: prof.Roberto Apostolo, prof.Mario Grosso, Arch.Andrea GrazianoJan08// Join at studioGriffa, Turin as project architectFeb08// at DRL TEN exhibition, Architectural Association, London with K_pavilion project ::: visiting Zaha Hadid Architects London, attends co|de lecture: Shajay Booshan, Danilo Arsic Feb08// K_pavilion publicated at DRL TEN book.Mar08// UIA infopoint competition.May08// MCA, Mario Cucinella architects "Una stanza di luce" workshop at Cavallerizza Chiablese, TurinJun08// Workshop “Parametric Architecture” tutors Ludovica Tramontin Asp(e)x and Erich Schoenenberger(Su11 architecture+design, Pratt Insitute, NY, USA)Jul08/// Torino World Design Summer School “Prototyping the city” assistant tutor of EcologicStudio-Architectural Association, NSU-GSAPP-Columbia University and Politecnico di Torino+ Configuration 0 project.

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