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Fill It Up
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Players take turns adding shapes made of three squares to a grid. They try to fit their shapes on the grid in a way that blocks the other player.

Twisted Tesselations
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In this activity (on pages 41-47 of PDF), learners explore tesselating geometric patterns (repeated shapes, similar to the art of M.C. Escher).

Spinning Blackboard
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Create beautiful spirals by drawing a straight line. This sounds crazy, but you can with a turntable (a record player or lazy susan), paper, and pen.

Spinning Cylinder: Make a triangle appear on a spinning wheel
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Spin a short piece of PVC pipe that's been marked up, and watch a triangle appear. Enjoy this optical illusion from the Exploratorium's Science Snack series.