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By Glen Vecchione

Can quantum operations, recombinant shapes, and hid distribution really result in enjoyable? definite they could! simply try out those optical illusions, mechanical flair puzzles, maps and mazes. "Selections are interesting."--School Library magazine.

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Where did the extra foot piece come from? Chapter 4 STRETCHY SHAPES & SQUIGGLY LINES Impossible Postcard • Mobius Mysteries • Squaring the Loops • Two Knotty Problems • A Fly's View • Power Lines • The Bridges of Konigsberg We live in a world of many shapes that are much more interesting than those found in a draftmans flat and angular drawings. A special branch of geometry, called topology, shows what happens when shapes change into different shapes. Topology also recog­ nizes the importance of a shape's interior and exterior regions and how they relate to problem-solving.

LOGIC PuZZLES 51 APRICOT JAM After picking some apricots from your tree, you decide to make some delicious apricot jam. 5 kg) of apricots, blend them together, and place them on the stove. But suddenly you remember that you were supposed to add l tea­ spoon of lemon juice for every dozen apricots. Since you can no longer count the number of apricots in your mixture , how will you know how much lemon to add? THE LUMBERJACK'S BROTHER A lumberjacks brother died and left a million dollars to his only brother.

Fold a postcard in half the long way. 2. Cut it with scissors as shown. 3. Then cut from A to B. 2 3 STRETCHY SHAPES & SQUIGGLY LINES 33 Finally, unfold the postcard and gently pull it apart at the nar­ row edges. You can see that the postcard easily fits over your head, if not your entire body. This demonstrates how a topologist would solve the problem. Topologists are interested in the qualities of a shape that can be changed (variants) and the qualities of a shape that remain the same (invariants).

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