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Dissection Puzzles

Dissection Puzzles
This is a very old and popular class of puzzles in which your goal is either to divide some 2- or 3-dimensional shape into specified number of single parts along with some given rule(s), or divide a given shape so that to transform it into some other shape. The class of dissection puzzles is incredible wide, and makes a substantial part of geometry and stereometry. Also it is a very interesting and often very important optimizing and technical task with wide use in engineering, industry, and science.

Every time you will be provided with an exact puzzle shape(s) and clear instructions what your goal is, but there are two main, traditional rules for these puzzles:

A. You must fully use the given shape, and its single parts can be rotated (and sometimes turned over), but no pieces may overlap each other.

B. When you are asked to rearrange one shape(s) into another, a better result is when you can get to the goal having a less number of single parts. Write us if you can improve any of these results.
Four Easter Eggs by Serhiy Grabarchuk
 
Four Easter Eggs  
by Serhiy Grabarchuk
Divide each of the four shapes, the ring and three circles, into the minimal number of parts so that they can create four equal eggs. In the final eggs no two elements of the same color touch each other even at a corner...
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Halloween Cuts by Serhiy Grabarchuk
 
Halloween Cuts
by Serhiy Grabarchuk
A piece of checkered cloth shows nine letters that spell: H-A-L-L-O-W-E-E-N. Make three cuts and obtain four fragments--then a square, using them, try to form. Trick or Treat!...
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Break-in-Two by Serhiy Grabarchuk
 
Break-in-Two
by Serhiy Grabarchuk
A shape consists of square cells. The object is to divide it into two congruent parts. They must be identical in size and shape, but you may rotate them and their outlines can even be reflections of each other...
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Cut the Q by Peter Grabarchuk
 
Cut the Q
by Peter Grabarchuk
You have a stylized letter Q. Your challenge is to cut it into two congruent parts. They must be the same size and shape, but may be rotated and/or reflected. Note that your cuts may be done anywhere, not just along the lines of the diagram...
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Two Oval Stools to a Table by Serhiy Grabarchuk
 
Two Oval Stools to a Table
by Serhiy Grabarchuk
This well-known, classic puzzle with transformation of two oval stools into a circular table top has long and interesting history. More than 180 years ago, in 1821, John Jackson posed in his book Rational Amusement for Winter Evenings a puzzle how to transform a circle into two hollow ovals...
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Last Updated: April 15, 2012
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