61. Fitting Puzzle Or Solid Constructive Geometry (Constructive solid geometry). Written by Paul Bourke December 1996 based modeller would be extremely difficult, it is trivial in a solid modeller. http://astronomy.swin.edu.au/~pbourke/geometry/fittoy/

The Fitting Puzzle or Thank goodness for CSG (Constructive Solid Geometry) Written by Paul Bourke December 1996 What single object can slide exactly through each of the holes shown below without leaving gaps? That is, the object must slip through each hole filling the hole completely. The solution is the intersection of each of the outlines of the holes extruded along each of the three orthogonal axes in 3 space. This is where CSG based rendering engines come to the rescue, generating this intersection in a facet based modeller would be extremely difficult, it is trivial in a solid modeller. The following show the three primitives that intersect, a cylinder, a rectangle, and a plus sign. The plus sign is in turn made up of the union of two rectangles. Below is a transparent version of the above in an attempt to illustrate the intersecting volume. And finally the actual intersecting volume. It is circular in along one axis (x), square along another axis (z) and a plus sign along the last axis (y). If you have good woodworking skills and make one of these, probably from wood, please let me know and perhaps send me a copy.

62. Boundary To Constructive Solid Geometry: A Step Towards 3D Conversion (Abstract) Eurographics Conference Proceedings 1988. Boundary to Constructive solid geometryA Step towards 3D Conversion. Author. R. Juan. Abstract http://www.eg.org/EG/DL/Conf/EG88/papers/EUROGRAPHICS_88pp129-139_abstract.html

Eurographics Conference Proceedings 1988 Boundary to Constructive Solid Geometry: A Step towards 3D Conversion Author: R. Juan Abstract: System hostet at Braunschweig University of Technology and powered by Hyperwave

63. Combinatorial Solid Geometry, Boundary Representations, And Non-Manifold Geometr Combinatorial solid geometry, Boundary Representations, and NonManifold Geometry.Michael John Muuss and Lee A. Butler http://ftp.arl.mil/~mike/papers/90nmg/

Combinatorial Solid Geometry, Boundary Representations, and Non-Manifold Geometry Michael John Muuss and Lee A. Butler Published in State of the Art in Computer Graphics: Visualization and Modeling D. F. Rogers, R. A. Earnshaw editors, Springer-Verlag, New York, 1991, pages 185-223. Please read the Postscript Version , which contains all the figures. Grubby unconverted TeX version, for search engines. mike@arl.mil Home Up Next

64. BRL-CAD 7.4 - MacUpdate BRLCAD is a powerful constructive solid geometry solid modeling system thatincludes an interactive geometry editor, ray tracing support for rendering and http://www.macupdate.com/info.php/id/16896

Sign-up to become a MacUpdate Member, get MacUpdate Desktop 4.2.2 ; or log-in. Custom watch lists, email update notifications, custom layouts, and more! Member Login: Hot Picks Weekly Popular Price Comparison About ... Add a File Go to: Software Categories Business Dashboard Main Author Tools all Mac OS X Mac OS 8/9 Timbuktu Pro 8.0 Allows You To Stay In Control Wherever You Go Control distant Macs and PCs right from your desktop; quickly, easily and securely. Free 30 Day Evaluation. BRL-CAD 7.4 by: BRL-CAD Project Post your quick review of BRL-CAD Add BRL-CAD to your Watch List (member feature) Email me when BRL-CAD is updated (member feature) After 20 years of active development under a proprietary government license agreement, the BRL-CAD solid modeling suite has just been released as Open Source software. BRL-CAD is one of the many legacies of the late Michael Muuss, author of ping. The package began on the PDP-11 and VAX 11/780before the emergence of ANSI/ISO C language standardsand boasts one of the first parallel Ray tracers in existence. Today BRL-CAD has over 750,000 lines of source code. It incorporates both 3D modeling and rendering capabilities, and supports an API for user-developed geometric analysis applications. It continues to be developed and maintained by the U.S. Army Research Laboratory and its partners. Various portions of the package are distributed under the GPL, LGPL, GFDL, and BSD licenses. BRL-CAD is a powerful constructive solid geometry solid modeling system that includes an interactive geometry editor, ray tracing support for rendering and geometric analysis, network distributed framebuffer support, image and signal-processing tools.

65. Action TV Online - Solid Geometry Episode Guide An earlier version of solid geometry had been due to be produced by the BBC in It s worth pointing out that solid geometry wasn t the only genre film http://www.action-tv.org.uk/guides/solidgeom.htm

66. Constraints In Constructive Solid Geometry Subjects Constructive solid geometry (CSG)**. Additional Classification I.Computing Methodologies I.6 SIMULATION AND MODELING. General Terms http://portal.acm.org/citation.cfm?id=319129

67. Interactive Solid Geometry Via Partitioning Trees Interactive solid geometry via partitioning trees. Source, Proceedings of theconference on Graphics interface 92 table of contents http://portal.acm.org/citation.cfm?id=155296

68. Constructive Solid Geometry - Eduseek The Eduseek page about Constructive solid geometry. http://www.eduseek.com/static/navigate10818.html

Home Subjects Help Age Groups Subjects Information and Communication Technology - ICT ICT - 16+ Computer Science ... Constructive Solid Geometry Links Constructive Solid Geometry - A short introduction to the method of Constructive Solid Geometry. Constructive Solid Geometry Overview - A brief overview of Constructive Solid Geometry (CSG). Introduction to Constructive Solid Geometry - Introduces the concept of Constructive Solid Geometry, with information on CSG primitives, boolean operators, and expressions. Constructive Solid Geometry Summary - A brief summary of the Constructive Solid Geometry system. Link to us Add Eduseek to your site Newsletter Press ... Map

69. Channel4.com/film - Denis Lawson On Solid Geometry Denis Lawson directs his nephew Ewan McGregor in solid geometry, solid geometryis out on DVD on June 12 2004. You can preorder it from http://www.channel4.com/film/reviews/feature.jsp?id=113772

70. Www.channel4.com/film/reviews/film.jsp?id=108492 Generalized Method of Decomposing solid geometry into Hexahedron Generalized Method of Decomposing solid geometry into Hexahedron Finite Elements.Holmes, David I. Proceedings, 4th International Meshing Roundtable, http://www.channel4.com/film/reviews/film.jsp?id=108492

71. Constructive Solid Geometry, The CAD-FEM Connection A constructive solid geometry approach is adopted for FEM models that mirrorsthe approach in a CAD package. The topology is first divided into subregions http://www.andrew.cmu.edu/user/sowen/abstracts/Ma248.html

Constructive Solid Geometry, The CAD-FEM Connection Marcal, Pedro V. 5th International Meshing Roundtable , Sandia National Laboratories, pp.157-168, October 1996 MESHING RESEARCH CORNER Abstract A constructive solid geometry approach is adopted for FEM models that mirrors the approach in a CAD package. The topology is first divided into sub-regions using Boolean Geometry. The sub-regions are then mapped into their final shapes and a structured mesh is built. This enables the automatic meshing of all components built by the CAD package. Download Full Paper (Postscript Format)

72. Bentley | Topological Editing Of Solid Geometry Topological Editing of solid geometry. The topology of elementsedges, verticesand facescan be easily manipulated, giving designers intuitive control http://www.bentley.com/en-US/Products/Bentley Architecture/Features Benefits/Top

Login Site Map Print Store ... Search Select Locale Australia - English Brazil - Portuguese China - Chinese Czech Republic - Czech Denmark - Danish England - English Finland - Finnish Germany - Deutsch Hungary - Hungarian Ireland - English Italy - Italiano Japan - Japanese(日本語) Korea - Korean Malaysia - English Middle East - English Netherlands - Dutch Philippines - English Poland - Polish Sweden - Swedish Taiwan - Chinese United States - English Quick Links Bentley Newsletters Bentley SELECT Discussion Groups Haestad Methods solutions MicroStation Products ProjectWise XM Edition markets products support services ... Bentley Architecture NEWS Bentley Provides Assistance to Design and Construction Firms Displaced by Hurricane Katrina or Helping With Rebuilding Efforts Bentley’s Anne-Marie Walters Elected to ECC Association Executive Board Bentley Announces Release of June 2005 Annual Report An Open Letter Regarding Bentley’s Agreement to Acquire netGuru’s Research Engineers International (REI) Business ... >> more news Bentley Architecture Automates the architectural design and production process Topological Editing of Solid Geometry The topology of elementsedges, vertices and facescan be easily manipulated, giving designers intuitive control over the shaping and carving of solids, and assisting in the creation of geometry.

73. Constructive Solid Geometry - DmWiki Constructive solid geometry, or CSG for short, is a technique of creating modelsby using mathematical operations like addition and subtraction on 3D shapes http://www.devmaster.net/wiki/Constructive_solid_geometry

Constructive solid geometry From DmWiki Constructive Solid Geometry, or CSG for short, is a technique of creating models by using mathematical operations like addition and subtraction on 3D shapes. For example, one could subtract a cylinder from a box to create a box with a cylindrical hole in it. There are three basic CSG operations: Union (addition): Combines two shapes into one. Does not change the shapes, just allows them to be manipulated as a group, e.g. for more CSG operations. Difference (subtraction): Removes one shape from another, leaving a hole - for example, subtracting a cylinder from a box as mentioned above. Intersection (multiplication): Keeps only those areas where two shapes overlap. For instance, placing two spheres so that they overlap slightly and performing a CSG intersection would leave a lens-shaped object behind. In graphics based on triangles , as most game engines are, the basic CSG entity is the plane . All other objects can be created by taking the intersection of several planes. For instance, a box is created by the intersection of six planes, each corresponding to one side of the box. Most level editors support basic CSG (at least union and difference, sometimes called 'group' and 'carve'); many do not support intersection.

74. Unisys World: CNC System That Reads Solid Geometry Cuts Programming Time 50% Full text of the article, CNC system that reads solid geometry cuts programmingtime 50% from Unisys World, a publication in the field of Computers http://www.findarticles.com/p/articles/mi_qa3851/is_200209/ai_n9106459

@import url(/css/us/style1.css); @import url(/css/us/searchResult1.css); @import url(/css/us/articles.css); @import url(/css/us/artHome1.css); Home Advanced Search IN free articles only all articles this publication Automotive Sports FindArticles Unisys World Sep 2002 Content provided in partnership with 10,000,000 articles Not found on any other search engine. Featured Titles for AI Magazine Advanced Battery Technology America's Network BT Catalyst ... View all titles in this topic Hot New Articles by Topic Automotive Sports Top Articles Ever by Topic Automotive Sports CNC system that reads solid geometry cuts programming time 50% Unisys World Sep 2002 by Fireman, Jerry Save a personal copy of this article and quickly find it again with Furl.net. It's free! Save it. BEHIND THE NEWS CASE STUDY Mold Craft Switching to a CNC system capable of directly reading solid models from popular CAD systems has cut programming time 50 percent at Mold Craft by eliminating the need to fine-tune part geometry. After importing IGES surfaces into the CAM software used in the past, extensive manual touch-up work was required to fix problem areas. The new CAM system uses the Parasolid solid modeling engine so it can read native solid model geometry from many CAD systems such as the Solid Edge program used at Mold Craft. The ability to import perfect geometry allows programmers to focus on optimizing 3-D machining tool path. The net result, for a typical complicated mold cavity, is a reduction in programming time from five to two and a half days.

75. Sunset: Solid Geometry - How-to Make Cylinder And Cube Seats - Brief Article Full text of the article, solid geometry how-to make cylinder and cube seats -Brief Article from Sunset, a publication in the field of Home Garden, http://www.findarticles.com/p/articles/mi_m1216/is_2_204/ai_59247093

@import url(/css/us/style1.css); @import url(/css/us/searchResult1.css); @import url(/css/us/articles.css); @import url(/css/us/artHome1.css); Home Advanced Search IN free articles only all articles this publication Automotive Sports FindArticles Sunset Feb 2000 Content provided in partnership with 10,000,000 articles Not found on any other search engine. Featured Titles for Air Classics Art Culinaire Ask CPSC Monitor ... View all titles in this topic Hot New Articles by Topic Automotive Sports Top Articles Ever by Topic Automotive Sports Solid geometry - how-to make cylinder and cube seats - Brief Article Sunset Feb, 2000 by Ann Bertelsen Save a personal copy of this article and quickly find it again with Furl.net. It's free! Save it. Make cylinders and cubes for seating * Here's a new twist on the old beanbag chair idea: the stuffed stool. You can use it as a seat on its own or as an ottoman to accompany an easy chair or a sofa. Our cubes and cylinders have muslin liners that make them sturdy and prevent the stuffing pellets from spilling should the fabric rip or tear. Made from cotton sateen, the bright outer covers can be removed for easy cleaning. Other materials suitable for seat covers are poplin, twill, denim, and any washable upholstery fabric. TIME: About three hours per cube COST: About $32 each, depending on fabric

76. Resource: Learning Math: Geometry Explore various aspects of solid geometry. Examine platonic solids and why thereare a finite number of them. Investigate nets and crosssections for solids http://www.learner.org/resources/series167.html

by Discipline Arts Education Education Reform Foreign Language Literature and Language Arts Mathematics Science Social Studies and History by Grade K - 2 College/Adult A video- and Web-based course for K-8 teachers; 12 half-hour video programs, course guide, and Web site; graduate credit available Learning Math: Geometry, a video- and Web-based course for elementary and middle school teachers, introduces geometric reasoning as a method for problem-solving. In this course, which is organized around the content standards of the National Council of Teachers of Mathematics (NCTM), you will explore the properties of geometric figures; make constructions using pencil and paper, and also using dynamic software; and practice using mathematical language to express ideas and justify your reasoning. Some important geometric ideas, such as symmetry, similarity, and trigonometry, will also be examined. You will begin to explore the basis of formal mathematical proofs and solid geometry. The course material progresses from more visual, intuitive ways of solving problems to more formal explorations of geometric ideas, properties, and proofs. The course consists of 10 approximately two-and-a-half-hour sessions, each with a half hour of video programming, problem-solving activities provided online and in a print guide, and interactive activities and demonstrations on the Web. The 10th session (choose video program 10 or 11 and 12, depending on your grade level) explores ways to apply the concepts of geometry you've learned in your own classroom.

77. Guardian Unlimited | Arts Critics | The Entertainers | Solid Geometry The BBC was going to make solid geometry in the 70s but took fright. solid geometry was dramatised and directed beautifully and coolly by Denis Lawson, http://www.guardian.co.uk/arts/critic/feature/0,1169,1161242,00.html

@import url(/external/styles/global/0,14250,,00.css); Skip to main content Read today's paper Sign in Register Go to: Guardian Unlimited home UK news World news Newsblog Archive search Arts Books Business EducationGuardian.co.uk Film Football Jobs MediaGuardian.co.uk Money The Observer Politics Science Shopping SocietyGuardian.co.uk Sport Talk Technology Travel Been there Audio Email services Special reports The Guardian The northerner The wrap Advertising guide Crossword Soulmates dating Headline service Syndication services Events / offers Help / contacts Feedback Information GNL press office Living our values Newsroom Reader Offers Style guide Travel offers TV listings Weather Web guides Working at GNL Guardian Weekly Money Observer Public Home Culture Vulture blog Live reviews Art ... Critics Search this site All stories Reviews only Nancy Banks-Smith Latest review Latest feature Archive Recent features EastEnders Last night's television The old ones are the best Nancy Banks-Smith Friday November 29, 2002 The Guardian The ingenious and engaging series The Entertainers (BBC2) ended last night, but is clearly a cut-and-come-again cake with great potential. The entertainers were dimming stars, who probably appreciated the attention but did not realise how attentive it would be. It nosed around like an embarrassingly devoted dog. It followed them to work but ignored their act. It explored their underpants with interest. It was always underfoot.

78. CNC System That Reads Solid Geometry Cuts Programming Time 50% This program reads surface, but not solid, geometry so the designer exported “The advantage of importing solid geometry into our CNC programming system http://www.unisysworld.com/monthly/2002/09/cnc.shtml

Quick Search: Unisys World Unisys World Print September 2002 UNISYS WORLD PRINT This month's issue Archives UNISYS WORLD ONLINE Unisys Corp. News White Papers OpinionWire TECHwatch ... ARS Analyst Outlook SUBSCRIPTIONS Subscription Center U.S. (free trial) Outside U.S. E-Mail Newsletter OTHER RESOURCES Vendor Directory Contact Us Media Kit SISTER PUBLICATION Industry News This Month's Issue Subscription Center Case Study: Mold Craft CNC system that reads solid geometry cuts programming time 50% By Jerry Fireman Switching to a CNC system capable of directly reading solid models from popular CAD systems has cut programming time 50 percent at Mold Craft by eliminating the need to fine-tune part geometry. After importing IGES surfaces into the CAM software used in the past, extensive manual touch-up work was required to fix problem areas. The new CAM system uses the Parasolid solid modeling engine so it can read native solid model geometry from many CAD systems such as the Solid Edge program used at Mold Craft. The ability to import perfect geometry allows programmers to focus on optimizing 3-D machining tool path. The net result, for a typical complicated mold cavity, is a reduction in programming time from five to two and a half days. Mold for a six-pack bottle carrier, using a CNC mill application.

79. Al's Programming Resource For Win32, OpenGL And ODE Physics Tutorials Constructive solid geometry data we need to dabble in the art of constructivesolid geometry (CSG) and to make a start I have put together this demo. http://members.net-tech.com.au/alaneb/csg.html

Win32, OpenGL and ODE Physics Index OpenGL Tutorials Template Cameras Timing Lighting ... OpenGL MDI Ported Demos Ports of some of the above examples to SDL ClanLib and GLFW are Here Old News View the past news here OpenGL Links OpenGL links for Beginners through to Advanced Details Constructive Solid Geometry By Alan Baylis 21/03/2003 Download the Demo with Source Tutorial To make a world editor or clean up existing world data we need to dabble in the art of constructive solid geometry (CSG) and to make a start I have put together this demo. The demo shows how to do csg addition between multiple convex brushes. The details of which can be found in the tutorial Send to: Alan Baylis P.O. Box 1533 Sale, Victoria 3850, Australia

80. Chapter 18 - Constructive Solid Geometry Slides. Constructive solid geometry Added 31st Jan 05. Back to Index of Slides Geometry in Action Constructive solid geometry and Solid Modeling http://www.cs.ucl.ac.uk/staff/A.Steed/book_tmp/CGVE/chapter_18.htm

Chapter 18 - Constructive Solid Geometry Slides Exercises Project Suggestions Programming Examples ... Links Back to: Computer Graphics and Virtual Environments From Realism to Real-Time Slides Constructive Solid Geometry Added 31st Jan 05 Back to: Index of Slides Exercises Exercises Back to: Index of Exercises Project Suggestions Back to: Index of Project Suggestions Programming Examples Back to: Index of Programming Examples Errata Back to: Index of Errata Pictures Image Page Back to: Index of Pictures Links Geometry in Action: Constructive Solid Geometry and Solid Modeling Back to: Index of Links

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