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Puzzle Playground /
Non-Manipulative Puzzles / |
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Dodecagon-to-Square Dissection |
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Bet not every day you see a challenge to divide a regular dodecagon into a
set of pieces which can be then rearranged to create a perfect square.
Would you dare to give it a try? |
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The Triamond |
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A trapezoid which is formed by joining three equilateral triangles is
called a triamond. The triamond can be cut into four congruent parts. But
it is said there are two different ways to do that. Check it! |
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Crazy Cut Suite |
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Four shapes. It is said each of them can be divided into two identical
pieces. The goal is to find the proper positions for the dividing cuts.
How complicated the dissection challenges can be? |
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Disk in2 Ovals |
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Can you divide a circular table top into the fewest number of pieces so
that they could be rearranged into the seats of two oval stools with open
handholds? |
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Step the Square |
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How to convert a perfect square into a rectangle of the same area simply by
dividing it into two pieces? Which technique should be employed for this
dissection? |
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Improvised Chessboard |
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Restore a perfect chessboard dividing its "irregular" prototype into just
two pieces. Is this possible at all? |
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The Patch Quilt Puzzle |
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What is the minimum number of the square patches needed to sew a patch
quilt of a perfect square? Have you ever asked the patch quilt makers
about it? No? Then ask. |
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Mini-Contests |
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Cutting a Cake |
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Sweet problem: how to divide a delicious cake between five kids equally
when everyone wants a part of cream rose in the center of the cake. |
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The Five Congruent Polygons |
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Does the way of dissecting a polygon into four congruent polygons has
something in common with the way of dissecting the same polygon into five
congruent ones? |
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The Sedan Chair Puzzle |
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A sedan chair is useful for not too distant trips. But what to do when it
rains? Close the sedan chair up and get a covered square box in the
simplest possible way! |
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The Good Luck Puzzle |
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Get the good luck horseshoe be divided into seven lucky pieces. Just find
your own lucky cuts while dividing and remember they should be only two. |
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An Easy Dissection Puzzle |
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Four in one! Exactly such a number of identical figures complete this
shape. Make them visible and see if you'll recognize 'em... |
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The Battle of the Four Oaks |
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A square piece of land challenges you to divide it into four identical
parts. Maybe it would be easy if there were not four ancient oaks... |
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Square Skate |
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This little "skate" can be divided into four identical parts which can
form a perfect square. The only task is to find these four parts... |
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Crazy Cut |
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The only cut has to be done to divide this strange figure into two
identical parts. The question is where it should go through? |
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Seven by 3 |
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How can you divide the page with three lines into seven sections each
containing exactly one apple? |
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Last Updated:
April 25, 2008 |
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