MTH 1220
Math & Art
Spring 2017


Current Semester: Spring 2017




On-Line Text: Click Here;        

Instructor: Stanley Eigen, Math. Dept., 527 Lake Hall, e-mail: s.eigen at neu dot edu
Syllabus Syllabus, Homework 0, and Project Info ;   More Math-Art Project Info Click Here  
Mathematica Software at NU Here The school has a wide range of software that you may download onto your own computers. These are available though MyNeu. You may also see Mathematica Art Demonstrations. These could give you ideas for projects.
Sites to see Escher's Art There are many videos on youtube
Video Includes Interview with Ian Stewart - about 4 minutes
Video: Coxeter on Escher H.S.M. Coxeter talks about Escher and Hyperbolic geometry
Video: David Suzuki interview of Coxeter and Gardner - Tilings of the Plane - Mentions Marjorie Rice
Video about 11 minutes
Platonic Realms Step through - see Polyhedra, the Shape of Space - etc
Video of Escher (not in English) from the Official Escher Website
Tessallations of the plane We will examine the Symmetries (Official Escher Website)
Metamorphisis Transformations of s Shapes (Official Escher Website)
Other Mathematical Art from the Official Escher Website
Video: M. C. Escher Documentary about an hour long

Other Esheresque Sites
  • Multiple Artists who do tessellations
  • Tessellations dot org loads of info
  • Jill Britton Activities
  • Suzanne Alejandre - math forum
  • Makoto Nakamura
  • Jos Leys Gallery
  • David Bailey's World of Escher-Like Tessellations
  • Alain Nicolas Very informative site
  • Sites to see mathematical art
    Slide Show at AMS   
    2014 Bridges Conference     Also check out the Short Movies
    More Bridges Conferences   
    Links to various Math-Artists   
    Galleries from Jos Leys There are also articles and references available.
    Visual Mathematics - Symmetry A journal with articles and artwork     Index of Artwork    
    Virtual Math Museum   
    Mathematik und Konkrete Kunst    
    Museum of Geometric and MADI Art    
    Vi Hart Site on Youtube. Vi Hart has a wide range of "doodles" that could conceivably inspire a project.
    Harriet Fell is a mathematician and computer science professor here at Northeastern. She does computer art and has written a program you can access Click Here     She currently does Zen Tangles     She originally studied Ergodic Theory in France. Click Here to see what she did in class


    Additional Readings and References:
    Math-Art Videos
    NU Student going into space  Video  
    Patrick Hughes Reverspective Exhibit at Northeeastern University
    Mandelbrot Set J. Coulton song  
    Boston Math-Art conference 2012  
    Turn Sphere Inside Out  
    Mobius Transformations Revealed  
    flagellation by piero della francesca  
    Museum of mathematics Has videos     There are also lectures available on youtube.
    Go to Youtube and Search on Math Encounters A number of these videos could lead to a project
    Rinus Roelofs Video Lecture on Math and Art
    Optical Illusions by Kokichi Sugihara.    Build yout own Paper models
    Mobius Strip and Valentine by Tadashi Tokieda.   




    Ivars Peterson References Bibliography & Artists;     Mathematical Tourist;    

    Found Math: At MAA;     Flicker Archive;    Hyperbolic Crochet

    Mathematica Demonstrations: Search for Art click here

    Mathematical Card Tricks: Colm Mulcahy's Column     A book on More mathematical Magic

    Origami Sites: Robert Lang Links and see his insects et al

    Liquid Art Corrie White

    Airigami Larry Moss and Kelly Cheatle

    Physics, Math and Art You tube video Kim Bernard - Stuff Moves Home page

    The Art of
    Hamid Naderi Yeganeh
      Home Page     Scientific Amer. Blog     Faces
      Article + VIDEO     At AMS     CNN Slideshow        


    Light Inquiry Through Experiments
    Site at BU Lots of stuff here for project ideas.


    Ted Talks
    Pixar: The Math Behind the Movies - Tony DeRose
    Beautiful Math behind Ugly Music Scott Rickard
    African Fractals Ron Eqlash - can see table of contents - let me know if interested
    Origami and Math Robert Lang - the library has copies AND available through JSTORS
    Moving Sculpture Arthur Ganson
    Music and math: The genius of Beethoven - Natalya St. Clair
    Math and Van Gogh's The Starry Night
    The Beautiful Math of Coral You can see the Coral Reef Project at The Institute for Figuring
    Journals for Math and Art
    Visual Mathematics - Symmetry has articles and artwork     Index of Artwork     Index of Articles
    Journal of Mathematics and Art - can see table of contents - let me know if interested
    Leonardo - the library has copies AND available through JSTORS
    Hyperseeing - from ISAMA
    AIR - Special Art Issue - from the people who bring you the IgNobel Prizes
    Hyperbolic
    View some animations by Jos Leys
    How Did Escher Draw his Circle Limit Figures by Bill Casselman
    A Tale both Shocking and Hyperbolic by Douglis Dunham
    OnLine Lecture Douglas Dunham - Transformations of Hyperbolic Escher Patterns
    OnLine Lecture by D. Joyce Make your own JAVA APPLET
    OnLine Lectures M.C. Escher and Hyperbolic Geometry - at Cornell
    Compass and Straightedge in the Poincare Disk -- how to draw
    Drawing a Triangle on the Thurston Model of Hyperbolic Space Bennett, Mellow and Shanahan
    Crocheting Hyperbolic Plane Here is a Downloadable Worksheet See above for a TED Talk
    Software
    Escher Web Sketch -- Really just showing the 17 Wallpaer groups
    Escher Square Tiles Instructions to Make your own - Google SketchUp
    Cayley Quilt from Jill Britton
    Kali Draws Wallpaper, Frieze and Rosette Patterns
    Programs from Jeff Weeks Besides the usual - He has a 4D drawing program
    L-Systems - easy to use From Kevin Roast - he has other helpful software.
    GeoGebra Interactive Graphics/Algebra -- OnLine Web Version
    Hyperbolic Geometry Software
      Surfer A Mathematical Program for drawing Surfaces. Check out The Galleries
    Apophysis Freeware Fractal Flame Editor for Windows On Line Flame Painter
    3D-XplorMath Does a wide range - Plus, get your 3D glasses to view
    Fractint Fractals and more - useful - but Windows only
    Art of Illusion Free 3D modelling and rendering studio
    Blender Free 3D content creation suite
    Surface Evolver Free interactive program for modelling surfaces
    BU Java Applets for Dynamical Systems
    Mandelbrot-Julia Set Explorer and here is another Madnelbort-Julia Set Explorer
    List at SUNY This is list of some software - I don't know what works.
    Assorted Free 3D and 2D software is available Here;    
    Model Building
    Polyhedra Paper Models to build 3-D geometrical figures
    Paper Polyhedra George Hart site - explains how to
    Impossible Objects Paper Models designed by Kokichi Sugihara
    Impossible Triangle paper model
    Cut Out Fold Up Assorted things to build -- for a project: build and explain the math
    BU-Lite Assorted Models Related to Visual Illustions; Includes a Reverse-Perspective Model and a Penrose Triangle Model.
    Models - Reverse Perspective
    Patrick Hughes Website There is a nice 3-minute film with Patrick Hughes
    VIDEO of Patrick Hughes
    Another VIDEO of Patrick Hughes
    Dragon Inverted 3D Illusion
    ReversePerspective Template P. Hughes/Cook Template - see also
    Reverse Perspective Door Illusion from P. Hughes
    Reverse Perspective Car - Drift Battle
    Impossible Puzzles by Scott Kim
    Papathomas Article Shows constructions and discusses experiments on Revere Perspective
    Additional References
    Viewpoints home page See also Viewpoints
    Squaring the Circle by Paul Calter
    Beyond the Third Dimension By Thomas Banchoff
    On Line References
    MORE REFERENCES - Math Art - Extras
    Math/Art People - Underconstruction

    Articles

    Music

    Dance

    Literature

    Art that changes with Viewpoint

    coming soon

    Shadow Art

    coming soon