1. Geometry: Computer Fun - Math For Morons Like Us Math for Morons Like Us Geometry Computer Fun Parallel Lines Congruent Tri. Congruent R. Tri. http://library.thinkquest.org/20991/geo/computer.html

Parallel Lines Congruent Tri. Congruent R. Tri. Isosc. and Equil. ... Computer Fun On this page, we've put together a small collection of QBASIC programs that help you solve some of the more common problems geometry deals with, such as finding the measure of the third angle of a triangle when you know the other two angles' measures. Have fun! Note that although the code is included on this page, there are links you can click on that will allow you to download the files in .BAS (QBasic v1.1) format. Feel free to edit these programs and do whatever you want with them (they are public domain For those using Microsoft® operating systems (MS-DOS, Windows, etc.), you can download the "official" QBasic (v1.1) from the following address: http://eagleperch.net/qbasic.html For those using other operating systems, you can use some other flavor of BASIC Search the Internet and you'll find a number of compilers. Finding the third angle of a triangle Classifying angles Finding an exterior angle of a triangle Angles of a polygon Lengths of sides of right triangles Lines Volume and total area of a cylinder Quiz on QBasic Geometry Programs This program asks the user for the measures (in degrees) of two angles of a triangle and then figures out the measure of the third angle.

2. Computational Geometry - Wikipedia, The Free Encyclopedia Computational geometry is a branch of computer science devoted to the study of algorithms which can be stated in terms of geometry. http://en.wikipedia.org/wiki/Computational_geometry

Computational geometry From Wikipedia, the free encyclopedia Jump to: navigation search Computational geometry is a branch of computer science devoted to the study of algorithms which can be stated in terms of geometry . Some purely geometrical problems arise out of the study of computational geometric algorithms, and such problems are also considered to be part of computational geometry. The main impetus for the development of computational geometry as a discipline was progress in computer graphics and computer-aided design and manufacturing ( CAD CAM ), but many problems in computational geometry are classical in nature, and may come from mathematical visualization Other important applications of computational geometry include robotics (motion planning and visibility problems), geographic information systems (GIS) (geometrical location and search, route planning), integrated circuit design (IC geometry design and verification), computer-aided engineering (CAE) (programming of numerically controlled (NC) machines). The main branches of computational geometry are: Combinatorial computational geometry , also called algorithmic geometry , which deals with geometric objects as discrete entities. A groundlaying book in the subject by Preparata and Shamos dates the first use of the term "computational geometry" in this sense by 1975.

3. Sacred Geometry Home Page By Bruce Rawles Sacred geometry is an ancient art and science which reveals the nature of our relationship to the cosmos. Its study unfolds the principle of oneness underlying all creation in its http://www.geometrycode.com/sg/index.shtml

The Geometry Code Universal Symbolic Mirrors of Natural Laws Within Us Home Introduction Gallery Community ... Annual Contest Favorite Quotes "[The golden proportion] is a scale of proportions which makes the bad difficult [to produce] and the good easy. " Sacred Geometry Home Page by Bruce Rawles In nature, we find patterns, designs and structures from the most minuscule particles, to expressions of life discernible by human eyes, to the greater cosmos. These inevitably follow geometrical archetypes, which reveal to us the nature of each form and its vibrational resonances. They are also symbolic of the underlying metaphysical principle of the inseparable relationship of the part to the whole. It is this principle of oneness underlying all geometry that permeates the architecture of all form in its myriad diversity. This principle of interconnectedness, inseparability and union provides us with a continuous reminder of our relationship to the whole, a blueprint for the mind to the sacred foundation of all things created. The Sphere (charcoal sketch of a sphere by Nancy Bolton-Rawles Starting with what may be the simplest and most perfect of forms, the sphere is an ultimate expression of unity, completeness, and integrity. There is no point of view given greater or lesser importance, and all points on the surface are equally accessible and regarded by the center from which all originate. Atoms, cells, seeds, planets, and globular star systems all echo the spherical paradigm of total inclusion, acceptance, simultaneous potential and fruition, the macrocosm and microcosm.

4. Lecture Notes Lecture notes by Jianer Chen in PostScript. http://www.cs.tamu.edu/faculty/chen/notes/

Lecture Notes (by Jianer Chen) Computational Optimization (388 pages) ps file pdf file Computational Geometry ps file pdf file

5. Geometry: Computer Fun - Text-only Math for Morons Like Us Geometry Computer Fun On this page we've put together a small collection of QBasic programs that help you solve some of the more common problems http://library.thinkquest.org/20991/textonly/geo/computer.html

Geometry: Computer Fun On this page we've put together a small collection of QBasic programs that help you solve some of the more common problems geometry deals with, such as finding the measure of the third angle of a triangle when you know the other two angles' measures. Have fun! Note that although the code is included on this page, there are links you can click on that will allow you to download the files in .BAS (QBasic v1.1) format. If any problems arise, feel free to E-Mail John at jpp22@email.byu.edu . Also, feel free to edit these programs and do whatever you want with them (they are public domain http://www.microsoft.com/windows/download/olddos.exe . (It is included in an archive of old MS-DOS utilities.) For those using other operating systems, there are many "unofficial" compilers available. Search the Internet and you'll find a number of them. Finding the third angle of a triangle Classifying angles Finding an exterior angle of a triangle Angles of a polygon Lengths of sides of right triangles Lines Volume and total area of a cylinder Quiz on QBasic geometry programs Finding the Third Angle of a Triangle This program asks the user for the measures (in degrees) of two angles of a triangle and then figures out the measure of the third angle.

6. Award-Winning Geometry Academic Instructional Review And Practice Software Geometry Practice is an award winning academic instructional tutorial software program designed for students wishing to master geometry problem solving. The program features drill http://www.mathtutor.com/software/geometry-practice.html

MathTutor Home Products School Versions ... About Us Award-Winning Geometry Academic Instructional Review and Practice Software DESCRIPTION GEOMETRY is the perfect geometry review, drill, and practice academic software package. It is geometry educational software at its finest. Parents seeking a home school geometry drill and practice instructional software program will find the program to be perfectly suited to their needs. Educators seeking curriculum-based geometry practice and review academic instructional software will find the program to be ideal. And others who simply want interactive geometry practice and drill computer software designed for self study will find the program to be exactly what they were looking for. GEOMETRY has been acclaimed for its educational excellence as well as its flexibility. It can be used for self-learning and to supplement classroom instruction in high school and middle school math classes.

7. Lattice Geometries Describes a method of defining lattice geometries for use in computational physics. http://www.hermetic.ch/compsci/lattgeom.htm

Lattice Geometries by Peter Meyer Written during 1999 CE; last revised 2000-01-17 CE. Published here 2001-02-17 CE (previously unpublished). A lattice (in the sense used in computational physics) has a certain geometric structure, e.g. "square", "triangular", "diamond", "cubic", etc. Here we consider how to represent these lattice geometries in a way which facilitates implementation as data structures within computer memory. The method of representation of lattice geometries described in this article was used in the software developed by the author to simulate the behavior of magnetic material by means of Ising and Potts spin models, as described in detail in his M.Phil. thesis, Computational Studies of Pure and Dilute Spin Models . That these representations are correct is shown by the fact that the measured properties of the models studied accord with results in the literature. We begin with the hypothesis that any lattice geometry of interest in spin model studies can be represented as (a) the set of all points in n-dimensional Cartesian space with integral coordinates, i.e., the space of n-dimensional vectors (x i ) whose components are integers, together with (b) a set of lines joining these points. The points are the lattice "sites" and the lines are the lattice "bonds". A vector (x

8. 68U: Computer Graphics And Computational Geometry Aug 14, 2000 At present there is really nothing here regarding computer graphics per se; this is primarily focused on computational geometry. http://www.math.niu.edu/~rusin/known-math/index/68U05.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 68U: Computer graphics and computational geometry Introduction At present there is really nothing here regarding computer graphics per se; this is primarily focused on computational geometry. In keeping with the general pattern of use of the Mathematics Subject Classifications, computational topics primarily focused on geometry are classified in sections 51: Geometry and 52: Convex Geometry and their subareas such as 52B: Polygons and polyhedra . This classification is intended for topics whose geometric aspects are fairly straightforward, but for which the main questions involve efficient, accurate computation. Many geometric questions arise involving large sets of points (e.g. which of these points are closest together?) which are arguably combinatorics or statistics , but we have included them here. History Applications and related fields Some problems (e.g. finding the best circle passing through some points) are considered Statistics.

9. Epinions.com - Search Results: Geometry Computer Epinions has the best comparison shopping information on Epinions.com Search Results geometry computer. Compare prices from across the web and read reviews from other consumers http://www.epinions.com/t-geometry-computer

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10. If Youve Ever Used A Dynamic Geometry Computer Software views 9 rating not rated reviews 0 posted 3/7/2010 language English pages 10 http://www.docstoc.com/docs/28084687/If-youve-ever-used-a-dynamic-geometry-compu

11. European Graduate Program ``Combinatorics, Geometry, And Computation'', Berlin - A European graduate programme. http://www.cgc.ethz.ch/

12. An Introduction To Projective Geometry (for Computer Vision) A monograph aiming to provide a readable introduction to the field of projective geometry and a handy reference for some of the more important equations. http://ai.stanford.edu/~birch/projective/

Next: Introduction An Introduction to Projective Geometry (for computer vision) Stan Birchfield Printable version: [PDF 247KB] [ps.gz 71 KB] ** Erratum ** In Section 2.1.3, "The unit sphere," it is stated that the projective plane is topologically equivalent to a sphere. In fact, it is only locally topologically equivalent to a sphere, as pointed out by John D. McCarthy Introduction The Projective Plane Four models ... Stan Birchfield April 23, A.D. 1998

13. Dr Betul, Assistant Professor Computational Geometry Computer Graphics, St Josep Dr Betul, Assistant Professor Computational Geometry Computer Graphics, St Joseph's University of St Joseph's University''s information including email, business address http://www.spoke.com/info/pWnYAfg/DrBetul

14. A Survey Of Geometries A survey of classical and modern geometries with computer activities, by Arthur Barragar. Errata, further exercises, instructors manual with solutions, Sketchpad and Java demonstrations. http://www.nevada.edu/~baragar/geometry.html

15. Projective Geometry Applied To Computer Vision Projective geometry is a mathematical framework in which to view computer http://robotics.stanford.edu/~birch/projective/node18.html

Next: Image formation Up: An Introduction to Projective Previous: Intersections and unions of Projective Geometry Applied to Computer Vision The following three sections contain the image formation equations, detailed derivations of the Essential and Fundamental matrices, and an interesting discussion of the interpretation of vanishing points. Image formation Essential and fundamental matrices Alternate derivation: algebraic Alternate derivation: from the epipolar line ... Vanishing points Next: Image formation Up: An Introduction to Projective Previous: Intersections and unions of Stanley Birchfield

16. Geometry Computer - Vector Clip Art Online, Royalty Free & Public Domain Clipart images geometry computer - Royalty free images and cliparts Fractal http://www.clker.com/search/geometry computer/1

17. Kumar, Piyush - Indian Institute Of Technology - Undergraduate, Especially Inter Computers, Computer Science, People, K Kumar, Piyush. Indian Institute of Technology - Undergraduate, especially interested in computational geometry, computer graphics and http://www.abc-directory.com/site/970519

18. Voronoi Selected references and links. http://scidiv.bcc.ctc.edu/Math/voronoi.html

Voronoi Diagrams Selected References Books This is the bible. Definitions, properties, algorithms, generalizations and applications galore! Unfortunately, it retails for $180. The King County Library System has one copy. There are several copies scattered among academic libraries in the Pacific Northwest, which you can get on interlibrary loan. Computational Geometry in C by J. O'Rourke, Cambridge University Press, 1994. Nice senior-level treatment that includes several applications and describes how Voronoi diagrams are related to minimal spanning trees and traveling salesman problems. There is a brief discussion of the "cone slicing" interpretation of Voronoi diagrams. You don't have to know C (or any programming at all) to read this book. Computational Geometry: Algorithms and Applications by de Berg, van Kreveld, Overmars and Schwarzkopf, Springer-Verlag, 1997. High-level undergraduate or low-level graduate textbook. Limited, but readable, description of the structure of algorithms for computing Voroni diagrams. You can download the fifteen-page chapter on Voroni diagrams from a web site devoted to this book: http://www.cs.ruu.nl/geobook/

19. Computational Geometry And Computer Graphics Computer Graphics Is File Format PDF/Adobe Acrobat Quick View http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.35.2452&rep=rep1&am

20. Topology And Geometry A collection of educational, graphical and research software by Jeff Weeks. http://geometrygames.org/

Jeff Weeks’ Topology and Geometry Software Torus Games Eight familiar games introduce children age 10 and up to the concept of a finite yet unbounded universe. Mac OS X, Windows, iPhone OS Kali Children of all ages create beautiful art based on the 17 tiling patterns. Windows, Mac Classic KaleidoTile Explore polyhedra and tessellations while creating colorful works of art. Mac OS X, Windows Curved Spaces Math and physics students experience flight in a multiconnected universe. Mac OS X, Windows Recent Updates Hyperbolic Blanket Japanese added, thanks to Tatsu Takeuchi Other Resources How to Sew a Hyperbolic Blanket Step-by-step instructions for sewing a hyperbolic surface from fleece. instructions Exploring the Shape of Space Two-week geometry unit introduces students grades 6-10 to multiconnected universes. Hyperbolic Games Play Sudoku, Pool and Maze on hyperbolic surfaces. For undergraduate geometry classes. SnapPea Researchers create and study 3-manifolds.

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