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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
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- 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
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Slide Show at AMS
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2014 Bridges Conference Also check out the Short Movies
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More Bridges Conferences
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Links to various Math-Artists
- Galleries from Jos Leys There are also articles and references available.
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Visual Mathematics - Symmetry A journal with articles and artwork
Index of Artwork
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Virtual Math Museum
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Mathematik und Konkrete Kunst
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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:
- Student Guide to Math Art on the Web Further references available here.
- Visions of Symmetry by Doris Schattschneider
- Viewpoints: Mathematical Perspective amd Fractal Geometry in Art by Marc Frantz and Annalisa Crannell
- Connections: The Geometric Bridge Between Art and Science by Jay Kappraff
- Beyond Measure: A Guided Tour Through Nature, Myth and Number also by Jay Kappraff
- Squaring the Circle by Paul Calter. There is an associated
Course at Dartmouth
- Math and Art by Sasho Kalajdzievski. There is an associated
Course at the University of Manitoba
- There is a Math in Art and Architecture
Course by H. Aslaksen
at the National University of Singapore
- Investigating Patterns
Online by Jill Britton
- Pattern
Course by Pippa Drew and Dorothy Wallace at Dartmouth
- On Line Text Symmetry and Ornament by Slavik V. Jablan
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- Some Downloadabe Readings
- Math-Art Videos
- NU Student going into space
Video
- Patrick Hughes Reverspective Exhibit at Northeeastern University
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Mandelbrot Set J. Coulton song
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Boston Math-Art conference 2012
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Turn Sphere Inside Out
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Mobius Transformations Revealed
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flagellation by piero della francesca
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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
Light Inquiry Through Experiments
Site at BU Lots of stuff here for project ideas.
- Ted Talks
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Pixar: The Math Behind the Movies - Tony DeRose
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Beautiful Math behind Ugly Music Scott Rickard
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African Fractals Ron Eqlash
- can see table of contents - let me know if interested
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Origami and Math Robert Lang
- the library has copies AND available through JSTORS
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Moving Sculpture
Arthur Ganson
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Music and math: The genius of Beethoven - Natalya St. Clair
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Math and Van Gogh's The Starry Night
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The Beautiful Math of Coral
You can see the Coral Reef Project at
The Institute for Figuring
- Journals for Math and Art
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Visual Mathematics - Symmetry has articles and artwork
Index of Artwork
Index of Articles
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Journal of Mathematics and Art
- can see table of contents - let me know if interested
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Leonardo
- the library has copies AND available through JSTORS
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Hyperseeing
- from ISAMA
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AIR - Special Art Issue
- from the people who bring you the IgNobel Prizes
- Hyperbolic
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View some animations by Jos Leys
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How Did Escher Draw his Circle Limit Figures
by Bill Casselman
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A Tale both Shocking and Hyperbolic by Douglis Dunham
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OnLine Lecture Douglas Dunham - Transformations of Hyperbolic Escher Patterns
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OnLine Lecture by D. Joyce
Make your own JAVA APPLET
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OnLine Lectures
M.C. Escher and Hyperbolic Geometry - at Cornell
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Compass and Straightedge in the Poincare Disk
-- how to draw
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Drawing a Triangle on the Thurston Model of Hyperbolic Space
Bennett, Mellow and Shanahan
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Crocheting Hyperbolic Plane
Here is a Downloadable Worksheet
See above for a TED Talk
- Software
Online Apps for Rosette, Frieze and Wallpaper Groups - easy to use and save
Online Apps for Tessellations of the Euclidean Plane -- easy to use and save
- Escher Web Sketch -- Really just showing the 17 Wallpaer groups
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Escher Square Tiles Instructions to Make your own - Google SketchUp
- Cayley Quilt from Jill Britton
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Kali Draws Wallpaper, Frieze and Rosette Patterns
- Programs from Jeff Weeks
Besides the usual - He has a 4D drawing program
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L-Systems - easy to use From Kevin Roast - he has other helpful software.
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GeoGebra Interactive Graphics/Algebra --
OnLine Web Version
- Hyperbolic Geometry Software
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Surfer A Mathematical Program for drawing Surfaces.
Check out
The Galleries
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Apophysis Freeware Fractal Flame Editor for Windows
On Line Flame Painter
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3D-XplorMath Does a wide range - Plus, get your 3D glasses to view
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Fractint Fractals and more - useful - but Windows only
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Art of Illusion Free 3D modelling and rendering studio
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Blender Free 3D content creation suite
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Surface Evolver Free interactive program for modelling surfaces
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BU Java Applets for Dynamical Systems
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Mandelbrot-Julia Set Explorer and here is another
Madnelbort-Julia Set Explorer
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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
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Polyhedra Paper Models to build 3-D geometrical figures
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Paper Polyhedra George Hart site - explains how to
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Impossible Objects Paper Models designed by Kokichi Sugihara
- Impossible Triangle paper model
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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
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Patrick Hughes Website There is a nice 3-minute film with Patrick Hughes
- VIDEO of Patrick Hughes
- Another VIDEO of Patrick Hughes
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Dragon Inverted 3D Illusion
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ReversePerspective Template P. Hughes/Cook Template -
see also
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Reverse Perspective Door Illusion from P. Hughes
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Reverse Perspective Car - Drift Battle
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Impossible Puzzles by Scott Kim
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Papathomas Article Shows constructions and discusses experiments on Revere Perspective
- Additional References
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Viewpoints home page See also
Viewpoints
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Squaring the Circle by Paul Calter
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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
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