Dissection Puzzles

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Cut the Perimeters
Cut the Perimeters
by Hasan Yurtoğlu
Perimeters of which shapes can be divided into four parts exactly identical in size and shape?
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Leaf Dissection
Leaf Dissection
by Richard Candy
Divide this leaf-like shape into seven identical (congruent) pieces.
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Four Easter Eggs
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.
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Choco Squares 2
Choco Squares 2
by Henry E. Dudeney
How to convert an irregular chocolate bar into a regular one? Just divide it into several pieces and then rearrange them. The question still remains what are the pieces?
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Nob's Checkerboard Restoring
Nob's Checkerboard Restoring
by Nob Yoshigahara
Can you restore a perfect 8x8 checkerboard from an irregular checkered shape with a hole and a jugged side?
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Square-Cocoon-Butterfly
Square-Cocoon-Butterfly
by Peter and Serhiy Grabarchuk
Divide a square into some minimal set of pieces so that while rearranged they could create two different shapes, one resembling a cocoon and another - a butterfly.
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Nob's M
Nob's M
by Nob Yoshigahara
This is an interesting shape. But even more interesting is the challenge applied to it - the task of dividing it into four identical shapes. Those shapes will appear no less interesting.
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Ceramic Tiles
Ceramic Tiles
after Henry E. Dudeney
A house-like shape can be divided into no more than X parts which in turn can create a perfect square. Go to the challenge to see the shape and discover what number X stands for.
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Choco Squares
Choco Squares
by Henry E. Dudeney
Suppose you have an irregular bar of chocolate which has to be divided equally among five kids and everyone wants to obtain the portion in the shape of square only. That's what the challenge is about.
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The Moon Challenge
The Moon Challenge
by Sam Loyd
A crescent, five straight cuts, and a task of how many pieces can be obtained with those cuts? What is the maximum possible number? Does the crescent form make an advantage?
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Twelve Parts of the Hexagon
Twelve Parts of the Hexagon
after Boris Kordemsky
Cut a regular hexagon into a certain number of quadrilaterals. There is a minor condition applied to quadrilaterals - they all should be congruent. Interestingly, a flexible solution scheme exists for the puzzle. What is it?
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Patchwork Quilts
Patchwork Quilts
by Henry E. Dudeney
It is claimed the two patchwork quilts can be successfully joined together in a new one with cutting along the stitches in no more than four pieces in total. Would you dare to complete such a needlework challenge?
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Arrow Cutting
Arrow Cutting
by Peter Grabarchuk and Helen Homa
A simple arrow has to be divided in just three pieces which, when rearranged, create a whole rectangle. But the pieces have to be different in their shapes and areas. Sounds easy?
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Dodecagon-to-Square Dissection
Dodecagon-to-Square Dissection
by Harry Lindren
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
The Triamond
after Martin Gardner
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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Disk in2 Ovals
Disk in2 Ovals
by John Jackson
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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Crazy Cut Suite
Crazy Cut Suite
after Martin Gardner
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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Step the Square
Step the Square
after Girolamo Cardano
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
Improvised Chessboard
by Henry E. Dudeney
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
The Patch Quilt Puzzle
by Sam Loyd
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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Cutting a Cake
Cutting a Cake
after H.S.M. Coxeter
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
The Five Congruent Polygons
by L. Vosburg Lyons
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
The Sedan Chair Puzzle
by Sam Loyd
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
The Good Luck Puzzle
by Sam Loyd
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
An Easy Dissection Puzzle
by Henry E. Dudeney
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
The Battle of the Four Oaks
by Sam Loyd
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
Square Skate
by Peter Grabarchuk
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
Crazy Cut
after Martin Gardner
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
Seven by 3
How can you divide the page with three lines into seven sections each containing exactly one apple?
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Last Updated: March 27, 2013 top
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Dissections 12 - PDF Print n Play Collection
 
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