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Checkered Origami Patterns

Checkered Patterns
Using sheets of paper (rectangular, triangular, square, or in other shape) colored on one side and white on the other, we can fold them into different flat shapes with different color/white patterns on their surface.

To solve checkered Origami pattern puzzles only simple folds with no twists or bends (so-called “book folds”) are allowed; a single fold can include one or several layers of paper folded at a time. Final shapes with the patterns must be flat. Similarly, after every fold every new shape must be flat as well.

Finally, you should see every pattern as it is shown; its color/white parts may be either plain, or composed of several respective elements.

You can mark out and precrease your colored paper sheets before the final folds as you need, keeping in mind that your main and the only challenge is to achieve a chosen pattern in the least number of simple (”book”) folds.

The first sample of checkered Origami pattern puzzle was discovered by the author in 1995, and since then it was many times presented on the Web and different periodicals. This puzzle makes true Origamic piece combining Origami and Puzzle, which gives a lot of space for perfection (in sense of reducing of numbers of necessary folds). Recently it has been published by Sterling Publishing Co., Inc. in the author's puzzle collection entitled The New Puzzle Classics: Ingenious Twists on Timeless Favorites.

The respective pages of this website present all the updated results for all known checkered Origami pattern puzzles. Write us if you can improve any of these results.

An additional remark. Much more difficult challenges can be posed when sizes of the respective basic patterns will increase. These certainly will be, for example, finding all the 4x4 checkered patterns or all the 4-unit-side triangles and, then, finding their minimal solutions. Obviously, part of these bigger patterns can be performed in similar and even the same ways as smaller ones, but mostly they promise to be very and extremely hard and... exciting!
Triangle Folds by Serhiy Grabarchuk
 
Triangle Folds  
by Serhiy Grabarchuk
You have three paper rectangles colored in two colors, yellow and red. Using them, make an equilateral triangle colored fully in red on one of its sides and fully in yellow--on the other. Note that you can perform just one simple fold for each rectangle...
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Checkered Tetramino Origami by Peter Grabarchuk
 
Checkered Tetramino Origami
by Peter Grabarchuk
Using five Origami squares colored at one side, and white on the other, and performing just "book" folds, get five checkered tetramino shapes in the minimal number of single folds. No matter what pattern will be at the back of each final tetramino, but all the five shapes must be flat...
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The Checkered Origami I-Square by Serhiy Grabarchuk
98
The Checkered Origami I-Square
by Serhiy Grabarchuk
This is another square version of the Origami Checkerboard puzzle. It uses a traditional square Origami sheet of paper colored just on one of its sides...
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The Checkered Origami Diamond by Serhiy Grabarchuk
43
The Checkered Origami Diamond
by Serhiy Grabarchuk
This is a rhombic version of the Origami Checkerboard puzzle. It uses an unusual Origami sheet of paper in the form of a 60-degree rhombus colored just on one of its sides...
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The Checkered Origami Hexagon by Serhiy Grabarchuk
IV
The Checkered Origami Hexagon
by Serhiy Grabarchuk
This is a hexagonal version of the Origami Checkerboard puzzle. It uses an unusual Origami sheet of paper in the form of a regular hexagon colored just on one of its sides...
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The Checkered Origami I-Triangle by Serhiy Grabarchuk
5-b
The Checkered Origami I-Triangle
by Serhiy Grabarchuk
This is another triangular version of the Origami Checkerboard puzzle. Again, it uses an unusual sheet of paper in the form of a isosceles triangle colored just on one of its sides. It can be easy obtained from a standard Origami square...
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The Checkered Origami Triangle by Serhiy Grabarchuk
6-O
The Checkered Origami Triangle
by Serhiy Grabarchuk
This is a triangular version of the Origami Checkerboard puzzle. It is also a rare triangular Origami work since it uses a sheet of paper in the form of an equilateral triangle colored just on one of its sides...
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The Origami Checkerboard Puzzle by Serhiy Grabarchuk
6-B
The Origami Checkerboard Puzzle
by Serhiy Grabarchuk
The object is simple: Take a square sheet of paper (colored at one side, and white on the other), and performing just "book folds" get a checkered pattern in the minimal number of single folds...
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Last Updated: October 31, 2009
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