1. Three-dimensional Solid Geometry And The Golden Section Phi and 3dimensional geometry From 2-dimensional (flat) shapes, we turn to The Dualof a Solid Golden sections in the Dodecahedron, Icosahedron and Octahedron http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/phi3DGeom.html

Some Solid (Three-dimensional) Geometrical Facts about the Golden Section Having looked at the flat geometry (two dimensional) of the number Phi, we now find it in the most symmetrical of the three-dimensional solids - the Platonic Solids. Contents of this Page The line means there is a Things to do investigation at the end of the section. Phi and 3-dimensional geometry From 2-dimensional (flat) shapes, we turn to 3-dimensional ones (solids). Dice Shapes We need symmetry in dice if they are to be fair, but is the cube the only possible shape? No, there are 5 and only 5 fair dice shapes: Coordinates and other statistics of the 5 Platonic Solids The Tetrahedron The Cube or Hexahedron The Octahedron ... The Icosahedron Some other relationships between these shapes... The Dual of a Solid Golden sections in the Dodecahedron, Icosahedron and Octahedron An Icosahedron in an Octahredron The Greeks, Kepler and the Five Elements solids ... More Phi and 3-dimensional geometry The five regular solids (where "regular" means all sides are equal and all angles are the same and all the faces are identical) are called the five Platonic solids after the Greek philosopher and mathematician, Plato. Euclid also wrote about them. For more information on these two famous Greeks, see the

2. Geometry In Action: CSG Constructive solid geometry and Solid Modeling. Geometric questions related to solid modeling include conversion between 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 - Main Menu solid geometry From Two Dimensions to Three Create your own three dimensionalshapes such as regular polyhedra, prisms and pyramids. http://www.hopepaul.com/kids/solidgeo/solidgeo.htm

Introduction Example Shapes Free Demo store section How to's Contest : Join our contest and receive a free copy of Solid Geometry. To visit the rest of our website, make your selection from the navigation bar on the left. For questions, comments, or suggestions, please send email to: webmaster@hopepaul.com Created: June 20, 1998 Revised: December 5, 2001 terms and conditions website design kids corner computer consulting ... store

4. 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

5. Solid Geometry - ShockWaved Play solid geometry online using shockwave technology. Create your own three dimensional shapes such as regular polyhedra, prisms and pyramids 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

6. Hope Paul Productions Kids Corner solid geometry From Two Dimensions to Three Create your own three dimensional shapessuch 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

7. Solid Geometry -- From MathWorld of geometry dealing with solids, as opposed to plane geometry. solid geometry is concerned with polyhedra, spheres, http://www.astro.virginia.edu/~eww6n/math/SolidGeometry.html

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 References 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. Solid Geometry, 3rd ed. London: Macmillan, 1886. Harris, J. W. and Stocker, H. "Solid Geometry." Ch. 4 in Handbook of Mathematics and Computational Science. New York: Springer-Verlag, pp. 95-116, 1998. Kenison, E. and Bradley, H. C. Descriptive Geometry. New York: Macmillan, 1935. Kern, W. F. and Bland, J. R.

8. Solid Geometry - Link Page A collection of interesting and/or informative links to other sites. Learn and teach solid geometry with this Java software. 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 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 solid geometry. Aldis, W. Steadman. An Elementary Treatise on solid geometry, 4thed. Cambridge Deighton, Bell, and Co., 1886. AltshillerCourt, Nathan. http://www.ericweisstein.com/encyclopedias/books/SolidGeometry.html

Solid Geometry see also Conic Sections Geometry Plane Geometry Polyhedra Aldis, W. Steadman. An Elementary Treatise on Solid Geometry, 4th ed. Cambridge: Deighton, Bell, and Co., 1886. Altshiller-Court, Nathan. Modern Pure Solid Geometry. Out of print. A classic. Highly reccommended. $?. Angel, Henry. Practical Plane and Solid Geometry. London and Glasgow: William Collins, 1876. Ashton, Charles H. Plane And Solid Analytic Geometry, An Elementary Text-Book, rev. ed. New York: Charles Scribner's Sons, 1900. Avery, Royal A. Solid Geometry. New York: Allyn and Bacon, 1939. 212 p. Baker, Arthur Latham. The Elements of Solid Geometry. Boston, MA: Ginn and Co., 1893. Balliccioni, A. Paris: Claude Hermant, 1964. 325 p. Bell, R.J.T. An Elementary Treatise on Coordinate Geometry of Three Dimensions. London: Macmillan, 1926. Betz, William Betz and Webb, Harrison E. Solid Geometry. Boston, MA: Ginn and Co. Breckenridge, W.E. and Morgan, Frank M. Solid Geometry. New York: Houghton Mifflin, 1934. Brooks, Edward.

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. Lily Studies The Solid Geometry Of The Cuboctahedron Lily studies the solid geometry of the cuboctahedron http://www.ericweisstein.com/fun/kitties/Pages/Image25.html

Lily studies the solid geometry of the cuboctahedron

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. Solid Geometry 12 Sep 2002 solid geometry, by Todd Strebel. 13 Sep 2002 Re solid geometry, by Domenico Rosa http://mathforum.com/epigone/nctm-l/veenoyghald

a topic from nctm-l Solid Geometry post a message on this topic post a message on a new topic 12 Sep 2002 Solid Geometry , by Todd Strebel 13 Sep 2002 Re: Solid Geometry , by Domenico Rosa 13 Sep 2002 Re: Solid Geometry , by Kirby Urner 14 Sep 2002 Re: Solid Geometry , by J.P.LeRoy 17 Sep 2002 Re: Solid Geometry , by DOMENICO ROSA 15 Sep 2002 Re: Solid Geometry , by Kirby Urner The Math Forum

14. 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"); Mar 18, 2003 - 02:13 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

15. Solid Geometry 12 Sep 2002 solid geometry, by Todd Strebel. 13 Sep 2002 Re solid geometry, by Domenico Rosa http://mathforum.com/epigone/math-teach/veenoyghald

a topic from math-teach Solid Geometry post a message on this topic post a message on a new topic 12 Sep 2002 Solid Geometry , by Todd Strebel 13 Sep 2002 Re: Solid Geometry , by Domenico Rosa 13 Sep 2002 Re: Solid Geometry , by Kirby Urner 14 Sep 2002 Re: Solid Geometry , by J.P.LeRoy 17 Sep 2002 Re: Solid Geometry , by DOMENICO ROSA 15 Sep 2002 Re: Solid Geometry , by Kirby Urner The Math Forum

16. Welcome To Zome Design tool and educational toy for teaching solid geometry, science, art, engineering and architecture. For children through adults. http://www.zometool.com/

We have just received more Toy Awards. Please view Hot off the Press: Zome the PR section of our web site Teacher's Bundle Kids love learning math through play. A full range of lesson plans help you to design high impact lessons for the elementary~high school level. 968 Pieces GO -> ScienceZone Series Bundle 3 cool kits in one: Crazy bubbles, DNA, and Bucky Ball. GO -> Adventurer Kit Build domes, crystals, flowers, bridges, DNA - anything you can imagine! 242 Pieces GO -> See Zome on Video! Win a FREE Explorer Kit! That's right. We are giving away a free Zome Explorer Kit, a $69.95 value! Click on Enter to Win to register to win Zome educational construction toys - experiment like never before! Architects, artists, engineers, NASA scientists and educators recognize the power of Zome, using it as a teaching, as well as a research and modeling tool. But kids are the real Zome wizards, creating fantastic everyday, fun objects such as airplanes, bridges, animals and academic objects like polygons, crystals, and school science projects as vast and brilliant as the mind itself. In the classroom and homeschool, Zome teaches algebra, scale, number sense, symmetry, proportion, geometry, DNA structure, trigonometry, and lots more. For ages 6 to 106. Shop Now Educators Fans News ... Multimedia No images or text may be used without written consent

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

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 References 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. Solid Geometry, 3rd ed. London: Macmillan, 1886. Harris, J. W. and Stocker, H. "Solid Geometry." Ch. 4 in Handbook of Mathematics and Computational Science. New York: Springer-Verlag, pp. 95-116, 1998. Kenison, E. and Bradley, H. C. Descriptive Geometry. New York: Macmillan, 1935. Kern, W. F. and Bland, J. R.

18. Constructive Solid Geometry CONSTRUCTIVE solid geometry (CSG) A solid modeling method that combines simple solidshapes 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.

19. MacUpdate: Solid Geometry 3.1 solid geometry 3.1, by Hope Paul Productions, email sales@hopepaul.com. Post yourquick review of solid geometry. Email me when solid geometry is updated. http://www.macupdate.com/info.php/id/4132

Main Hot Picks Weekly Popular Price Comparison ... Email me when Solid Geometry is updated. Solid Geometry allows you to create your own three dimensional shapes, such as polyhedra, prisms, and pyramids. Choose from 25 shapes, add your name, print, cut, fold and glue. Fun for children of all ages. Requirements System 7.0 or later. Similar Software IZA Solid Brass Silver Metallic silver Kaleidoscope scheme with blue highlights. IZA Solid Brass Brass/gold Kaleidoscope color scheme. Rock Solid 2.3 Oversee a network of diamond mines. Search for more similar software... Download Now (2.8 MB) More Information File Information License Demo Size 2.8 MB Date Downloads Category Education Sub-category Mathematics Write 1st Review Report Dead D/L Link Recommend File to Friend ... About MacUpdate

20. Constructive Solid Geometry From FOLDOC constructive solid geometry. graphics (CSG) A method for describing the geometryof complex scenes by applying set operations to primitive objects. http://wombat.doc.ic.ac.uk/foldoc/foldoc.cgi?constructive solid geometry

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