1. Hope Paul Productions Kids Corner solid geometry From Two Dimensions to Three Create your own three dimensional shapes such as regular polyhedra, prisms and pyramids. solid geometry. Computer. http://www.hopepaul.com/kids/kids.htm

Kids corner is a place for children of all ages. We have games you can play online or you can download a demo. Solid Geometry Create your own three dimensional shapes, such as Cube, Cubo Octahedron, Decahedron, Dodecahedron, Dodecahedron Star, Double Hexagonal Pyramid, Dual Cube, Greeting Star, Hexagonal Prism, Hexagonal Pyramid, Hexahedron, Icosahedron, Icosa Star, Irregular Hexahedron, Large Decahedron, Large Dodecahedron, Obelisk, Octagonal Star, Octahedron, parallellepiped Hexahedron, Pentagonal Pyramid, Tetra Star, Tetragonal Pyramid, Tetrahedron, Triangular Prism, and polyhedra. Visit our Shockwaved site and try The Store Visit our online store for those hard to find math toys and games. The perfect place for teachers and parents alike. Make your selection from our increasing stock. Please visit us often or send in your request via our guestbook For questions, comments, or suggestions,please send email to: webmaster@hopepaul.com Hope Paul Productions, Inc. Created: June 15, 1998 Revised: Tue, Feb 24, 2004

2. Geometry In Action: CSG Constructive solid geometry and Solid Modeling. Tech. BRLCAD CSG system, Army Research Lab. Constructive solid geometry bibliography, Ian Grimstead, U. Wales. http://www.ics.uci.edu/~eppstein/gina/csg.html

Constructive Solid Geometry and Solid Modeling Geometric questions related to solid modeling include conversion between different representations including boundary nets, constructive solid geometry (representations involving Boolean combinations of simple base shapes), and hierarchical decomposition ; combination (such as intersection and union) of shapes; blending surfaces; and data structures for graphical rendering of models. More could be done to connect the models used in computational geometry (typically polyhedra) with those in computer aided design (typically involving splines or other higher order curves and surfaces). Alpha shapes , defined by H. Edelsbrunner and others at U. Illinois, provide a useful algorithmic tool for modeling shapes, especially those formed by unions of spheres. Annotated bibliography on object representation schemes for 3d graphics , H.-G. Park, Air Force Inst. Tech. BRL-CAD CSG system, Army Research Lab. Constructive solid geometry bibliography , Ian Grimstead, U. Wales. Decomposing trimmed surfaces using the Voronoi tesselation , P.-Y. Tsai and B. Hamann, Mississippi State U.

3. Solid Geometry solid geometry. solid geometry http//www.hopepaul.com/kids/solidgeo/ intro/intro_sw.htm Create your own three see chapter 7 for some solid geometry examples http://www.lawrence.org/edlinks/solid_geometry/solid_geometry.htm

Solid Geometry Solid Geometry http://www.hopepaul.com/kids/solidgeo/intro/intro_sw.htm Create your own three dimensional objects. Shapes include Cube, Cubo Octahedron, Decahedron, Dodecahedron, Dodecahedron Star, Double Hexagonal Pyramid, Dual Cube, Greeting Star, Hexagonal Prism, Hexagonal Pyramid, Hexahedron, Icosahedron, Icosa Star, Irregular Hexahedron, Large Decahedron, Large Dodecahedron, Obelisk, Octagonal Star, and many others. Needs Shockwave. Surface Area of Rectangular Prisms http://www.aaamath.com/geo79-surface-area-rec-prism.html Surface Area Formulas http://www.math.com/tables/geometry/surfareas.htm ... Dave's Math Tables: Areas, Volumes, Surface Areas http://www.sisweb.com/math/geometry/areasvols.htm formulas and diagrams Manipula Math with JAVA http://www.ies.co.jp/math/java/index.html - The material presented is for middle school students, high school students, college students, and all who are interested in mathematics. You will find interactive programs that you can manipulate and a lot of animation that helps you to grasp the meaning of mathematical ideas. Connecting Geometry - http://www.k12.hi.us/~csanders/topics.html

4. CS3621 Introduction To Computing With Geometry Course Notes Why Is Computing with Geometry Important? The Theme of this Course Euler Operators. Constructive solid geometry. Interior, Exterior and Closure http://www.cs.mtu.edu/~shene/COURSES/cs3621/NOTES/notes.html

CS3621 Introduction to Computing with Geometry Notes Dr. C.-K. Shene Associate Professor Department of Computer Science Michigan Technological University You are visitor since July 1, 1998 Last update: December 3, 2003 Select the topics you wish to review: Unit 1: Course Overview Why Is Computing with Geometry Important? The Theme of this Course ... References Unit 2: Geometric Concepts Coordinate Systems, Points, Lines and Planes Simple Curves and Surfaces Homogeneous Coordinates Geometric Transformations ... References Unit 3: Solid Models Solid Representations: An Introduction Wireframe Models Boundary Representations Manifolds ... References Unit 4: Parametric Curves Parametric Curves: A Review Tangent Vector and Tangent Line Normal Vector and Curvature Continuity Issues ... References Unit 6: B-spline Curves Motivation B-spline Basis Functions Definition Important Properties Computation Examples B-spline Curves Definition Open Curves Closed Curves Important Properties ... Derivatives of a B-spline Curve Important Algorithms for B-spline Curves Knot Insertion Single Insertion Inserting a Knot Multiple Times De Boor's Algorithm De Casteljau's and de Boor's Algorithms ... References Unit 7: NURBS Curves Motivation Definition Important Properties Modifying Weights Important Algorithms for B-spline and NURBS Curves Knot Insertion: Single Insertion De Boor's Algorithm Circular Arcs and Circles Problems ... References Unit 8: Surfaces Basic Concepts Construction Important Properties De Casteljau's Algorithm B-spline Surfaces

5. Constructive Solid Geometry Constructive solid geometry. Constructive solid geometry, or CSG for short, is yet another way of representing solids. A CSG solid is constructed from a few primitives with Boolean operators (i.e. http://www.cs.mtu.edu/~shene/COURSES/cs3621/NOTES/model/csg.html

Constructive Solid Geometry Constructive Solid Geometry , or CSG for short, is yet another way of representing solids. A CSG solid is constructed from a few primitives with Boolean operators ( i.e. , set union, intersection and difference). Thus, a CSG solid can be written as a set equations and can also be considered a design methodology. CSG Primitives The standard CSG primitives consist of the block ( i.e. , cube), triangular prism, sphere, cylinder, cone and torus. These six primitives are in some normal or generic form and must be instantiated by the user to be used in his/her design. Moreover, the instantiated primitive may require transformations such as scaling, translation and rotation to be positioned at the desired place. Suppose the block primitive is defined by its "lower left" corner and "upper right" corner . To produce a rectangular box with center at and height and width 3 and length 5, a user may first scale the block primitive 1.5 times in the y - and z -direction and 2.5 times in the x -direction, and then translate the result to

6. Polyhedron Interactive application for solid geometry with 250 builtin problems. Simulates ruler, compass, protractor and other tools. Solids can be cut, displayed differently, rotated, joined again. http://www.geocentral.net/polyhedron

Polyhedron Interactive geometry software Geometria is a dramatic Java upgrade to this software product. Download English version Download Romanian version Polyhedron is an MS DOS application based on a new approach to solid geometry. In a few words, it allows the user perform various actions upon solids as if holding them in hands. Polyhedron simulates a number of tools, such as ruler, protractor, setsquare, compass, bisector, saw, eraser, all accessible from a menu bar. Solids can be revolved, displayed in different manners, cut, joined back. There are 250 problems built into Polyhedron . You will be surprised by what some of them deal with. There are problems about frameworks, toys, beetles, ants, other likewise 'non-academic' stuff. The problems of complexity 5-6 (there are 6 complexity levels) have proved themselves difficult enough even for the best undergraduate students. Polyhedron Interactive geometry with polyhedra Polyhedron on the Web: Geometry Links by Lee Dickey at the University of Waterloo Mathematics WWW Library at Florida State University Math Guide 2000 at Eps Mag Micromath Shortbits at the Open University, UK

7. Solid Geometry - ShockWaved Play solid geometry online using shockwave technology. Create your own three dimensional shapes such as regular polyhedra, prisms and pyramids Welcome to solid geometry From Two Dimensions to Three. Play solid geometry online using shockwave technology. http://www.hopepaul.com/kids/solidgeo/intro/intro_sw.htm

document.write(''); Play Solid Geometry online using shockwave technology. Create your own three dimensional shapes such as regular polyhedra, prisms and pyramids. Loading the program can take up to 10 minutes. Please click the mouse button inside the program as soon as it is loaded to open the main menu. From the main menu select the shape you want to explore. The downloadable demonstration has a lot more capabilities and you can use the program 10 days free when you register. Create your own three dimensional objects. Shapes include Cube, Cubo Octahedron, Decahedron, Dodecahedron, Dodecahedron Star, Double Hexagonal Pyramid, Dual Cube, Greeting Star, Hexagonal Prism, Hexagonal Pyramid, Hexahedron, Icosahedron, Icosa Star, Irregular Hexahedron, Large Decahedron, Large Dodecahedron, Obelisk, Octagonal Star, Octahedron, Parallellepiped Hexahedron, Pentagonal Pyramid, Tetra Star, Tetragonal Pyramid, Tetrahedron, Triangular Prism and many others. For questions, comments, or suggestions, please send email to: webmaster@hopepaul.com

8. Solid Geometry - Link Page Contact viersee (support@qkiz.com) Geometria Learn and teach solid geometry with this Java software. Polyhedron An interactive application in solid geometry. http://www.hopepaul.com/links/links.htm

Astro-logix - the evolutionary new construction toy Three puzzles with polyhedra and numbers We present in this site a deltoidal icositetrahedron puzzle, a rhombicuboctahedron puzzle and a rhombic dodecahedron puzzle. It is allowed to print copies for non-commercial purposes. Contact: Jorge Rezende (rezende@cii.fc.ul.pt) 5-stone Play a strong Renju/Go-Moku(five-in-a-row) game Contact: Tongxiang Zhang Bubble Bomb and Photo Hunt Game Bubble bomb game and Photo Hunt game for adult and kids! Contact: viersee (support@qkiz.com) Geometria Learn and teach solid geometry with this Java software. It runs just as well on a PC (Windows, Linux) as a Sun computer. 60 sample problems with resolutions. Contact: Stelian Dumitrascu (stelian@ottawa.com) Math for Kids Contact: Nikki Katz (kidsmath.guide@about.com) Maryann Sterling's Art Clipart, Art, Desktop Pictures and Postcards Contact: Maryann Sterling (Maryann@maryannsart.com) Carla's Creations Site has free online greeting cards, a humor section, html help pages, info about me and my family, banner exchange, holiday and seasonal pages and great links!! Fractiles, Inc.

9. Solid Geometry -- From MathWorld solid geometry. solid geometry is concerned with polyhedra, spheres, threedimensional solids, lines in three-space, planes, and so on. http://mathworld.wolfram.com/SolidGeometry.html

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index ABOUT THIS SITE About MathWorld About the Author DESTINATIONS What's New MathWorld Headline News Random Entry ... Live 3D Graphics CONTACT Email Comments Contribute! Sign the Guestbook MATHWORLD - IN PRINT Order book from Amazon Geometry Solid Geometry General Solid Geometry Solid Geometry That portion of geometry dealing with solids , as opposed to plane geometry . Solid geometry is concerned with polyhedra spheres , three-dimensional solids , lines in three-space, planes , and so on. Geometry Plane Geometry Spherical Geometry search Altshiller-Court, N. Modern Pure Solid Geometry. New York: Chelsea, 1979. Bell, R. J. T. An Elementary Treatise on Coordinate Geometry of Three Dimensions. London: Macmillan, 1926. Cohn, P. M. Solid Geometry. New York: Routledge, 1968. Dresden, A. Solid Analytical Geometry and Determinants. New York: Dover, 1964. Farin, G. E. and Hensford, D. The Geometry Toolbox for Graphics and Modeling. Natick, MA: A. K. Peters, 1997. Frost, P.

10. Interactive Geometry Interactive Java program in solid geometry. 60 sample problems with resolutions. http://geocentral.net/geometria/

With Geometria , learning high school math is easier than ever. Its comfortable graphic interface lets you perform various actions upon solids as if holding them in your hands. Have a look Geometria 's extended toolbag enables you to draw lines, perpendiculars, midpoints, bisectors; measure and lay off distances and angles; transform, cut and join solids; build them from scratch. Tell me more Geometria is available for download at the GeoCentral Web store. Is it safe? System requirements I wanna try it first Buy Geometria is being internationalized. Spanish version If you are interested to collaborate with us in translating it into other languages, please let us know Geometria is packed with 60 sample problems classified, according to their complexity, into 8 categories. Show me one With Geometria , problems can be composed, solved, emailed to a friend or teacher, reviewed. Let me say something GeoCentral

11. Solid Geometry From MathWorld solid geometry from MathWorld That portion of geometry dealing with solids, as opposed to plane geometry. solid geometry is concerned with polyhedra, spheres, threedimensional solids, lines in http://rdre1.inktomi.com/click?u=http://mathworld.wolfram.com/SolidGeometry.html

12. Euclid's Elements, Introduction Includes the entire 13 books on plane geometry, geometric and abstract algebra, number theory, incommensurables, and solid geometry. Uses java applets to illustrate the principles. http://aleph0.clarku.edu/~djoyce/java/elements/elements.html

Introduction New: Jaume Domenech Larraz has translated the Elements into Catalan at http://www.euclides.org/ Euclid's Elements form one of the most beautiful and influential works of science in the history of humankind. Its beauty lies in its logical development of geometry and other branches of mathematics. It has influenced all branches of science but none so much as mathematics and the exact sciences. The Elements have been studied 24 centuries in many languages starting, of course, in the original Greek, then in Arabic, Latin, and many modern languages. I'm creating this version of Euclid's Elements for a couple of reasons. The main one is to rekindle an interest in the Elements, and the web is a great way to do that. Another reason is to show how Java applets can be used to illustrate geometry. That also helps to bring the Elements alive. The text of all 13 Books is complete, and all of the figures are illustrated using the Geometry Applet, even those in the last three books on solid geometry that are three-dimensional. I still have a lot to write in the guide sections and that will keep me busy for quite a while. This edition of Euclid's Elements uses a Java applet called the Geometry Applet to illustrate the diagrams. If you enable Java on your browser, then you'll be able to dynamically change the diagrams. In order to see how, please read

13. MathsNet Interactive Geometry Solids home, These pages on solid geometry collect together interative material on the Platonic solids, impossible objects and more To http://www.mathsnet.net/geometry/solid/

14. BRL-CAD Constructive solid geometry (CSG) 3D modelling system developed by the US Army, distributed as source code. Package includes an interactive geometry editor, ray tracing support for rendering and geometric analysis, network distributed framebuffer support, imageprocessing and signal-processing tools. http://ftp.arl.mil/brlcad/

Up One Level Home Search BRL-CAD tm Table of Contents General Information Latest Release Overview Users Group Meeting 2002 Downloads Documents: Overview and Installation Introduction to MGED Principles of Effective Modeling Converting Geometry Between BRL-CAD and Other Formats ... Database Format v5 Draft The BRL-CAD Package is a powerful Constructive Solid Geometry (CSG) solid modeling system. BRL-CAD includes an interactive geometry editor, ray tracing support for rendering and geometric analysis, network distributed framebuffer support, image-processing and signal-processing tools. The entire package is distributed in source code form. Up

15. PinkMonkey.com Geometry Study Guide - CHAPTER 8 : SURFACE AREA AND VOLUME CHAPTER 8 SURFACE AREA AND VOLUME. 8.1 Introduction to solid geometry. The 3 D objects or geometric solids dealt within this chapter are. http://www.pinkmonkey.com/studyguides/subjects/geometry/chap8/g0808101.asp

Support the Monkey! Tell All your Friends and Teachers Get Cash for Giving Your Opinions! Get a scholarship! Need help with your research paper? See What's New on the Message Boards today! Favorite Link of the Week. ... Request a New Title Win a $1000 or more Scholarship to college! Place your Banner Ads or Text Links on PinkMonkey for $0.50 CPM or less! Pay by credit card. Same day setup. Please Take our User Survey CHAPTER 8 : SURFACE AREA AND VOLUME Figure 8.1 Shown in Figure 8.1 is a brick with length 10 cm, breadth 5 cm and height 4 cm. There cannot be a single plane which can contain the brick. A brick has six surfaces and eight vertices. Each surface has an area which can be calculated. The sum of the areas of all the six surfaces is called the surface area of the brick. Apart from surface area a brick has another measurable property. i.e. the space it occupies. This space occupied by the brick is called its volume . Every three dimensional (3-D) object occupies a finite volume. The 3 -D objects or geometric solids dealt within this chapter are Apart from defining these objects, methods to calculate their surface area and volume are also incorporated in this chapter.

16. Constructive Solid Geometry CONSTRUCTIVE solid geometry (CSG) A solid modeling method that combines simple solid shapes called PRIMITIVES to build more complex models, using the BOOLEAN http://www.olympus.net/personal/mortenson/preview/definitionsc/constructivesolid

CONSTRUCTIVE SOLID GEOMETRY (CSG) A solid modeling method that combines simple solid shapes called PRIMITIVES to build more complex models, using the BOOLEAN OPERATORS UNION DIFFERENCE , and INTERSECTION . The resulting model is a PROCEDURAL MODEL stored in the mathematical form of a BINARY TREE , where the LEAF NODES are the primitives, correctly sized and positioned, and each BRANCH NODE is a Boolean operator. References Mortenson, M. E., GEOMETRIC MODELING Mortenson, M. E., MATHEMATICS FOR COMPUTER GRAPHICS APPLICATIONS

17. Sol Crystal Project :: The Level Editor For Crystal Space 3-d Engine A level editor built from scratch for Crystal Space 3d engine. It is based on the conctp of solid geometry and follows the Crystal Space's portal engine approach. Open source, GPL http://solc.sourceforge.net/

@import url("themes/PostNukeBlue/style/style.css"); Jun 06, 2004 - 12:01 AM Sol Crystal Project Main Menu Home Portal Forums AvantGo Downloads Members List ... Top List Sol Crystal Sourceforge Page Screenshots Solc doxydocs SCWS doxydocs ... CVS Tarball Crystal Space Home Page Sourceforge Page Wiki Page Mailing Lists Who's Online We have 1 guest and members online You are an anonymous user. You can register for free by clicking here Search Box Languages Select interface language: English Welcome to the Sol Crystal Project Portal! This website is dedicated to OpenSource 3-d development in general and is a part of Sol Crystal Project - the level (map/scene) editor for Crystal Space engine. The first release of Sol Crystal is available in the downloads section. You can browse the code, the Doxygen docs and the screenshot(s) here Anyone is welcome on this website . The developers are encouraged to post news about their current development plans and achievements, so others can see the work in progress and not wast their time re-inventing the weel, but rather use someone else's work as a base for their own. Svyatozar, 2002-09-19

18. Solid Geometry -- From MathWorld http://mathworld.wolfram.com/topics/SolidGeometry.html

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index ABOUT THIS SITE About MathWorld About the Author DESTINATIONS What's New MathWorld Headline News Random Entry ... Live 3D Graphics CONTACT Email Comments Contribute! Sign the Guestbook MATHWORLD - IN PRINT Order book from Amazon Geometry Solid Geometry Cones Cylinders Ellipsoids Frusta ... Volume

19. Mathwords: Solid Geometry solid geometry. solid geometry also includes the study of points, lines, shapes, and regions in relation to solids and surfaces. Coordinates are not used. http://www.mathwords.com/s/solid_geometry.htm

Solid Geometry The study of surfaces and solids in space , especially cones cylinders prisms pyramids ... polyhedra , and spheres . Solid geometry also includes the study of points lines , shapes, and regions in relation to solids and surfaces Coordinates are not used. See also Plane geometry analytic geometry Euclidean geometry non-Euclidean geometry this page updated 31-may-04

20. Mathematica Information Center Technical Notes. Mathematics Geometry solid geometry. ITEMS Constructing a Buckyball with Mathematica A combination of geometry and algebra from classical and modern mathematics http://library.wolfram.com/infocenter/BySubject/Mathematics/Geometry/Solid

PreloadImages('/common/images2003/btn_products_over.gif','/common/images2003/btn_purchasing_over.gif','/common/images2003/btn_services_over.gif','/common/images2003/btn_new_over.gif','/common/images2003/btn_company_over.gif','/common/images2003/btn_webresource_over.gif'); All Collections Articles Books Conference Proceedings Courseware Demos MathSource Technical Notes Mathematics Geometry Solid Geometry ITEMS items are in this category. Listing items to Automatic Determination of Algebraic Surfaces as Loci of Points [in Articles Buckminster Fuller Notebooks [in MathSource: Packages and Programs Building Polyhedra from Sets of Vertices and Faces [in Technical Notes Calculating Canonical Polyhedra [in Articles The Chemistry Maths Lab [in Courseware A Computer Generation of Polytopes that are Sections of the 5-Cube [in Articles Constructing a Buckyball with Mathematica : A combination of geometry and algebra from classical and modern mathematics [in Demos Convert Uniform Polyhedra to POV-Ray Spheres, Cylinders, and Triangles [in MathSource: Packages and Programs Cover Image Construction [in Demos CRC Standard Curves and Surfaces: A Mathematica Notebook [in Books Cutting a Cone by a Plane Not Intersecting the Base [in MathSource: Packages and Programs Cylinder Generator [in Technical Notes Descartes-Geometry [in MathSource: Packages and Programs Drawing Mathematical Solids [in Articles Elect, Bead, and Star Zonohedra

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