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Patterns and Art

larger image of http://mathforum.org/geometry/rugs/

image of http://mathforum.org/geometry/rugs/

Symmetry in Art and Math

Symmetry in art and math is illustrated by patterns in old Arabian rugs.

larger image of http://bridge.skyline.net/

image of http://bridge.skyline.net/

Community Bridge at Skyline

The Community Bridge is an illusion. Painters turn an unremarkable viaduct-like bridge into computer art with tricks, such as "depth", to fool the eye.

larger image of http://www.exploratorium.edu/explore/optical-illusions

image of http://www.exploratorium.edu/explore/optical-illusions

Exploratorium - Optical Illusions

Exploratorium has mounted a set of illusions, some often not easily found such as the squirming palm. Such illusions almost always intrigue students.

A Mile of Pi

What happens when you print out Pi to a million digits? You get a piece of paper 1.05 miles long. Follow along as Matt Parker takes you on a tour of a million digits of Pi.

YouTube URL
https://www.youtube.com/watch?v=0r3cEKZiLmg
larger image of http://janechafinsofframpgalleryblog.blogspot.com/2011/10/origami-and-fractals-shadowy-world.html

image of http://janechafinsofframpgalleryblog.blogspot.com/2011/10/origami-and-fractals-shadowy-world.html

Origami and Fractals

Origami and Fractals: Shadowy Worlds Between Art and Mathematics looks at Jane Chafin's personal exploration into the world of origami and fractals. Includes a number of video links and can be a good introduction for both you and your students.

larger image of http://sciencevsmagic.net/fractal/#0060,0090,1,1,0,0,1

image of http://sciencevsmagic.net/fractal/#0060,0090,1,1,0,0,1

Nico's Fractal Machine

This simple web page shows how simple concepts can expand into something complex and many times beautiful. Try clicking Animate, Color, Trails, and Random in that order.

Porta Estel·lar (Star Gate)

Porta Estel·lar (catalan for Star Gate) is an immersive light and sound installation inside a plane. Using strips of LED lights and sound sequences, it takes the audience to outer space, from departure and takeoff to the sighting of comets, planets, galaxies and alien worlds, until finally returning safe to earth.

The video shows how simple repeating and random patterns can transport an audience.

YouTube URL
https://www.youtube.com/watch?v=k37WtFVfDfs
larger image of http://www.michaelbach.de/ot/

image of http://www.michaelbach.de/ot/

Optical Illusions & Visual Phenomena

Michael Bach has great collection of simple "illusions". Emphasis here is on the beauty of perceptual phenomena, on interactive experiments, and explanation of the visual mechanisms involved – to the degree that they are understood

larger image of http://snowflakes.barkleyus.com/

image of http://snowflakes.barkleyus.com/

Make-a-Flake

An on-line, interactive snowflake maker by Barkley Interactive. Show how some simple folds and a few cuts can change a square of paper into an intricate design.

larger image of http://www.math-ed.com/Resources/snowflake/snowflake.htm

image of http://www.math-ed.com/Resources/snowflake/snowflake.htm

Finding Infinity in a Snowflake

A formal lesson plan showing how snowflakes can all be made up of the same stuff (water and dust) and yet look so different.

larger image of http://www.sandlotscience.com

image of http://www.sandlotscience.com

Sandlot Science

Another massive collection featuring interactive live optical illusions,exhibits, artwork, games, puzzles!

In a child's eye natural phenomena seem random. A special and startling lens for detecting patterns, such as fractals and illusions, will help sharpen their perceptions and awaken them to the mathematical and perceptual unity in nature and environments.

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