MTH 1220
Math & Art

Ted Talks

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

Journals for Math and Art

Visual Mathematics - has articles and artwork

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

Hyperbolic

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

Software

Escher Square Tiles Instructions to Make your own - Google SketchUp

Kali Draws Wallpaper, Frieze and Rosette Patterns

GeoGebra Interactive Graphics/Algebra -- OnLine Web Version

Hyperbolic Tesselations Make your own - on the Poincare Disk

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.

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

Cut Out Fold Up Assorted things to build -- for a project: build and explain the math

Models - Reverse Perspective

Dragon Inverted 3D Illusion

ReversePerspective Template P. Hughes/Cook Templagte

Reverse Perspective Door Illusion from P. Hughes

Reverse Perspective Car - Drift Battle

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

• Mathematical Art Article in Nature, april 2010, about John Sims
• Medieval Poetry and Math in Notices of AMS, May 2011
• Fundamental Theorem of Beauty-in-Design Article by Horace Wood Brock.   Boston.com
• Alberti's Perspective Construction AMS, Feature Column
• A window on the fifth dimensions by Frank Farris in MAA Focus Vov 28, Issue 8, Nov 2008
• The Mathematical Structure of Escher's Print Gallery by B. de Smit and H.W. Lenstra Jr.
• The Mathematical Approach in Contemporary Art Classical article by Max Bill, 1949
• Tactile Mathematics by Stewart Dickson
• Generative Art articles can be quite mathematical

Music

• Bobby McFerrin Short Ted Demonstration
• The Unanswered Question, 1973 Lecture by L. Bernstein Musical Phonology
• Math, Physics and A Hard Day's Night Jason I. Brown
• Combinatorial Enumeration of Ragas of Indian Music K. Balasubramanian
• Asymmetric Rhythms and Tiling Canons Rachel W. Hall and Paul Klingsberg
• Tiling in my Music Tom Johnson       Interview with Tom Johnson Paris Transatlantic Magazine
• Analysis of Adele's Songs       McGill Reporter Article
• The Physics of the Blues Dean J. Murray Gibson Notes of the Talk