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Rep-tiles: Replicating figures on the plane. Mandelbrot, Benoit B. Fractals and art for the sake of science. Field, Michael, and Martin Golubitsky. McGuire, Michael. Reading, Mass. Peden, Douglas D. Bridges of mathematics, art, and physics. Science News Sept. Art of pursuit. Science News Online July Pursuing pursuit curves.


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Scrambled grids. Science News Online Aug. Art of the grid. Sliding pi. Science News Online June 3. Singapore: World Scientific. Mazes for the Mind: Computers and the Unexpected. Does God Play Dice? The Mathematics of Chaos. Penrose tiling. Penrose tiling II. Tiling with convex polygons. Gailiunas, Paul. Spiral tilings. Penrose tiles. Tilings and Patterns. La Breque, Mort. Opening the door to forbidden symmetries.

Mosaic 18 Winter : Penrose, Roger. On the cohomology of impossible figures. Clusters and decagons. Science News Oct. The fivefold way for crystals. Science News March 23 : Pentaplexity: A class of non-periodic tilings of the plane. Mathematical Intelligencer 2 No. Robbin, Tony. New Haven, Conn. Fourfield: Computers, Art, and the Fourth Dimension.

Boston: Little, Brown and Company. Painting and physics: Modeling artistic and scientific experience in four spatial dimensions. Leonardo 17 No. Coloring Penrose tiles. Schattschneider, Doris. In praise of amateurs. Klarner, ed. Mineloa, N. The fascination of tiling. Senechal, Marjorie. Quasicrystals and Geometry. Cambridge, England: Cambridge University Press. Steinhardt, Paul Joseph. Venters, Diana, and Elaine Krajenke Ellison. Mathematical Quilts: No Sewing Required!

Bill, Max. The mathematical way of thinking in the visual art of our time. Brown, Ronald. John Robinson's symbolic sculptures, knots and mathematics. Emmer, Michele. Mathematics and art: Bill and Escher. In Mathematical Magic Show. Isaksen, Daniel C. Perry, Charles O.

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Continuum, broken symmetry, and more. On the edge of science: The role of the artist's intuition in science. Science News Online June 9. Science News Online July 8. Recycling topology. Rhapsody in White: A victory of mathematics. Mathematical Intelligencer 22 No. Dickson, Stewart. True 3D computer modeling: Sculpture of numerical abstraction. Gray, Alfred. Boca Raton, Fla. Hildebrandt, Stefan, and Anthony Tromba. New York: Springer-Verlag.

Hoffman, David, and William H. Meeks, III. Minimal surfaces based on the catenoid. American Mathematical Monthly 97 October : White narcissus.

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A minimal winter's tale. Minimal snow. Science News Online March 6. Putting a handle on minimal helicoids. Adams, Colin C. Casselman, Bill. Pictures and proofs. Notices of the American Mathematical Society 47 November : Collins, Brent. Geometries of curvature and their aesthetics. Visualization: From biology to culture. Merging paradigms. Finding an integral equation of design and mathematics. Evolving an aesthetic of surface economy in sculpture. Leonardo 30 No. Topological sculptures.

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Interdisciplinary Science Reviews 18 No. Cox, Donna J. Caricature, readymades and metamorphosis: Visual mathematics in the context of art.

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Francis, George K. On knot-spanning surfaces: An illustrated essay on topological art. With an artist's statement by Brent Collins.

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Leonardo 25 No. Friedman, Nathaniel A. Visual Mathematics 3 No. What do you see? Geometric sculpture for K Geos, hyperseeing, and hypersculpture.

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Form, space, and light. Hyperseeing, hypersculptures and space curves. The topology of knots. Worm paths.


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The five Platonic solids. Krawczyk, Robert J. Curving spirolaterals. More curved spirolaterals. Krawczyk, Robert A. Spirolaterals, complexity from simplicity. Levine, Howard.

See-duction: How scientists and artists are creating a third way of knowing. Humanistic Mathematics Network Journal No. Turtle tracks. Punctured polyhedra. Science News Online June Puzzling lines. Art of the tetrahedron. Sculpture generator. Science News Online Oct.

Analogies from 2D to 3D: Exercises in disciplined creativity. Computer-augmented inspiration. Art, math, and computers: New ways of creating pleasing shapes. Wenninger, Magnus J. Polyhedron Models. London, England: Cambridge University Press. Coxeter, H. Angels and devils. Emmer, R. Penrose, and M.

Teuber, eds. Escher, Rome, Italy, March, Amsterdam: North-Holland. Dunham, Douglas. Beyond the third dimension : geometry, computer graphics, and higher dimensions. Beyond the third dimension. All rights reserved. Remember me on this computer. Cancel Forgot your password? Showing all editions for 'Beyond the third dimension : geometry, computer graphics, and higher dimensions'. Year 2 7 11 Language English 18 Dutch 2. Displaying Editions 1 - 10 out of Beyond the third dimension: geometry, computer graphics, and higher dimensions by Thomas F Banchoff. Print book. Beyond the third dimension : geometry, computer graphics, and higher dimensions by Thomas F Banchoff.

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