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  Selected Sites   (see also All Sites in this category)

  1. An Introduction to Projective Geometry (for computer vision) - Stan Birchfield
    The contents of this paper include: The Projective Plane; Projective Space; Projective Geometry Applied to Computer Vision; Demonstration of Cross Ratio in P^1; and a bibliography. (Euclidean geometry is a subset of projective geometry, and there are two geometries between them: similarity and affine.) Also at http://vision.stanford.edu/~birch/projective/. more>>

  2. PyGeo - Arthur Siegel
    A dynamic geometry toolset written in Python, with dependencies on Python's Numeric and VPython extensions. It defines a set of geometric primitives in 3d space and allows for the construction of geometric models that can be manipulated interactively, while defined geometric relationships remain invariant. It is particularly suitable for the visualization of concepts of Projective Geometry. PyGeo comes with complete source code. more>>


 
  All Sites - 22 items found, showing 1 to 22

  1. Asteroids in projective geometry - Flynn, Heath
    A game similar to "Asteroids," but set in the projective plane. Written in Director 8 by high school student David Flynn with some technical help from Dr. Deej Heath, it is playable via Shockwave. ...more>>

  2. The Diamond Theorem - Steven H. Cullinane
    Finite projective geometry explains the surprising symmetry properties of some simple graphic designs -- found, for instance, in quilts. Links are provided for applications to sporadic simple groups (via the "Miracle Octad Generator" of R. T. Curtis), ...more>>

  3. Donald Coxeter, Mathematician and Geometer - Great Canadian Scientists (GCS)
    Harold Scott MacDonald Coxeter, Professor Emeritus, Math Dept., Univ. of Toronto, is best known for his work in hyperdimensional geometries and regular polytopes - geometric shapes that extend into the 4th dimension and beyond. In 1926 he discovered a ...more>>

  4. The Educational Validity of Visual Geometry - Marius Blok; Hull, UK
    A 1998 doctoral thesis describing the design of a new branch of geometry and its teaching, based on philosophy and visual art, avoiding the use of formulae and computations. The site provides a table of contents, preface, and summary, as well as contact ...more>>

  5. The Fundamental Theorem of Projective Geometry - Maska Law; Dept. of Mathematics, University of Western Australia
    A brief definition of projective geometry, by the author of an honours dissertation covering ideas from the areas of projective geometry and group theory. ...more>>

  6. Gordon Royle's Homepage: Research - Gordon Royle
    Catalogues and tables of interesting combinatorial objects: small graphs, cubic graphs, symmetric cubic graphs, vertex-transitive graphs, Cayley graphs (by group), vertex-transitive cubic graphs, cubic cages and higher valency cages, planar graphs, cubic ...more>>

  7. Homogeneous Transformation Matrices - Daniel W. VanArsdale
    Explicit n-dimensional homogeneous matrices for projection, dilation, reflection, shear, strain, rotation and other familiar transformations. ...more>>

  8. Important Concepts from Projective Geometry - Paul Beardsley
    Contents include: Homogeneous Coordinates; Manipulating Points and Lines; Projective Transformations; Projective Invariants; and Ideal Points and Vanishing Points. ...more>>

  9. Interactive Course on Projective Geometry - Juan Carlos Alvarez Paiva; Polytechnic University, Brooklyn, NY
    An interactive, discovery-based course on projective geometry. Lecture notes, sample exams, applets, and a list of recommended reading are provided. ...more>>

  10. Investigations in Projective Geometry - Dwayne Alvis and Wanda Nabors
    How three-dimensional scenery is reproduced on a two-dimensional piece of paper. Construction exercises and a Geometer's Sketchpad file to download. ...more>>

  11. Mathematical Machines - Museum of Natural Science and Scientific Instruments of the University of Modena
    Models of machines based on scientific and technical literature dating back to classical Greece. Among other didactic goals, La collezione di Macchine Matematiche aims to foster reflection on the historical relationships between mathematics, society, ...more>>

  12. Mathematics in John Robinson's Symbolic Sculpture - University of Wales, Bangor
    Art and mathematics are combined in this site, which explores Borromean Rings, The Möbius Band, Bernard Morin and the Brehm Model, The Projective Plane, Fibre Bundles, Knots and Links, Torus Knots, and Fractals through the work of sculptor John Robinson. ...more>>

  13. OpsResearch - DRA Systems
    A collection of Java classes for developing operations research programs and other mathematical applications. The site includes documentation and tutorials, and software download is free. Also features a bookstore and related links. ...more>>

  14. Papers on the History of Mathematics - Gregory Cherlin, Rutgers University
    A random selection of term papers submitted in undergraduate, one-semester courses on the history of mathematics. Topics include zero, Fermat, Euler, Newton, Euclid's proof of the Pythagorean Theorem, Fibonacci, Vieta, conic sections, mathematics at Princeton ...more>>

  15. Parallel Coordinates - Alfred Inselberg
    Download articles, read a course syllabus, and see images about a method for visualizing multi-dimensional spaces with industry applications that have included visual and automatic (classification) data mining, optimization, GIS, process control, decision ...more>>

  16. Projective Conics (Gallery of Interactive Geometry) - Mathew Frank; The Geometry Center
    This discussion of Pascal's theorem in terms of projective geometry includes an interactive application that lets you specify points on a conic and see how the theorem applies to them. Conics and Hexagons: Pascal's Theorem; Brianchon's Theorem; Some Stronger ...more>>

  17. Projective geometry and transformations - Albert Goodman; Deakin University (Rusden), Clayton, Victoria, Australia
    Applications of projective geometry and transformations for computer graphics. 2-D projection and coordinate systems; and transformations. From a course in Computer Graphics and Imaging. ...more>>

  18. Sliders - Cut the Knot!, Alexander Bogomolny, with Don Greenwell
    A variation of the Fifteen puzzle invented by Sam Loyd in the early 1870's: puzzles on graphs, including a proof independent of Wilson's theorem that all Lucky 7 permutations are possible; and variations of Sliders, a Fifteen-like puzzle that can be played ...more>>

  19. Steiner Surfaces - Adam Coffman
    Equations and graphics of Steiner surfaces: algebraic varieties with quadratic rational parametrizations. The classification includes quartic models of the projective plane, ruled cubics, and quadric surfaces. Steiner surface patches can be used in computer ...more>>

  20. Understanding Projective Geometry (Question Corner and Discussion Area) - University of Toronto Mathematics Network
    An in-depth explanation of projective geometry in response to a high school student's question. ...more>>

  21. Vectors in Projective Geometry (Question Corner and Discussion Area) - University of Toronto Mathematics Network
    A short, basic description of the use of vectors in projective geometry. ...more>>

  22. Wilson Stothers' Geometry Pages - Wilson Stothers, University of Glasgow
    A guide to the various geometry topics on Stothers' pages, including Euclidean, affine, projective, inversive, and hyperbolic geometries, and the Klein View of geometry. These pages began as an experiment in teaching projective conics using Cabri to provide ...more>>


 
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