Fractals

Benoit Mandelbrot Bio:  http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Mandelbrot.html

Why Study Fractals?  http://math.rice.edu/~lanius/fractals/WHY/

Studying Mandelbrot Fractals:  http://mathforum.org/alejandre/applet.mandlebrot.html

General Interest -Fractals:  http://www.geom.umn.edu/graphics/pix/General_Interest/Fractals/

Paper-Folding-Fractals:   http://cs.unm.edu/~joel/PaperFoldingFractal/paper.html

Origami

Paper Folding:  http://www.cut-the-knot.com/pythagoras/PaperFolding/index.shtml

Origami & Math:  http://www.paperfolding.com/math/

Origami & Mathematics:  http://web.merrimack.edu/hullt/OrigamiMath.html

Origami & Diagrams:  http://www.folds.net/tutorial/index.html#techniques

The Golden Rectangle

Do this First: http://www.geom.umn.edu/~demo5337/s97b/

Constructing the golden rectangle: http://www.math.csusb.edu/courses/m129/golden/golden_ratio.html

Fibanocci numbers and nature:  http://www.ee.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat.html

Phi not Pi:  http://jwilson.coe.uga.edu/emt669/Student.Folders/Frietag.Mark/Homepage/Goldenratio/goldenratio.html

History of the golden rectangle:  http://forum.swarthmore.edu/dr.math/problems/jackson.9.7.96.html

Why is the golden rectangle in nature?  http://www.ee.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat2.html

Tangrams

Tangram puzzles and solutions:  http://www.strongmuseum.org/kids/tangram.html

Mathematical properties:  http://jwilson.coe.uga.edu/emt669/Student.Folders/Huberty.Greg/Tangrams/tangrams.html

How do they fit together?  http://www.col-ed.org/cur/math/math12.txt

Directions for constructing tangrams:  http://forum.swarthmore.edu/trscavo/tangrams/construct.html

An interesting tangram problem:  http://forum.swarthmore.edu/trscavo/tangrams/construct.html

Tessellations

Patterns & art by Escher:  http://www.dartmouth.edu/~matc/math5.pattern/lesson7art.html

Maurits Cornelius Escher - a bio:  http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Escher.html

Equilateral Triangles and Beyond:  http://www.math.csusb.edu/courses/m129/eqtri.html

The Mathematical Art of M.C. Escher:  http://www.mathacademy.com/pr/minitext/escher/

Tessellations - Step by step with "Paintbrush" or "Paint":   http://www.wsd1.org/lgc98/teach/Paint/makefish.htm

Technical Drawing

How to draw in 3-D geometric shapes:  http://www.sanford-artedventures.com/create/try_this_3d.html

History of use of depth in art:  http://www.sanford-artedventures.com/teach/lp_deep_backinfo.html

Geometry of 3-D drawing:  http://forum.swarthmore.edu/workshops/sum98/participants/sanders/Geom3D.html

Perspective and links to examples in art:  http://forum.swarthmore.edu/sum95/math_and/perspective/perspect.html

Mathematics of perspective:  http://jwilson.coe.uga.edu/emt669/Student.Folders/Huberty.Greg/Tangrams/tangrams.html

History of perspective:  http://www.painting-workshops.com/

Nice lessons on all types of perspective:  http://www.homeschoolarts.com/per-l1-1.htm

Unusual applications of perspective by Escher:  http://clowder.net/hop/persp/persp.html

Wycinanki

Polish Folk Art:  http://www.polishamericancenter.org/FolkArt.htm

The Art Studio:  http://www.dsha.k12.wi.us/clarice/wyci.htm

Polish Paper Cutting:  http://www.montessoriworld.org/Handwork/foldingp/polish.html