I just learned about them recently and now it seems I can't get enough.
A kaleidocycle is a closed chain of tetrahedra that can cycle endlessly through a center hole.
What?
Well, go to this website and play around with the awesome java applet.http://www.kaleidocycles.de/anim.shtml
Then google kaleidocycle and you will come up with many good websites that give templates, explanations and directions on how to make your own! Kaleidocycles are a fun toy, interesting math thing, and a great art project. My 6th graders are getting introduced on Friday!
Here are a few links to get you started...
http://foldplay.com/foldplay.action
http://www.korthalsaltes.com/cuadros.php?type=ka
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