# Tag Info

Accepted

### Prove that π > 3

I didn't have a knife with me, so I only used my unit circle cookie cutter to split each square like this: I then rearranged the parts into this shape: Since the angle covered by this shape is ...
• 78.6k
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### Can you fold a square into a square of one-fifth the area?

The way to do this is:
• 150k

• 21.4k
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### Dissecting the exotic bulbfish

Cut along the red lines and move the pieces as indicated by the yellow arrows. As is usual with this kind of dissection, it helps if you look at the area to work out the length of the side of the ...

• 10.3k
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### 7x10 floor and a 8x8 and a 6x1 carpet, only one cut allowed

Here is one way it can be done. Path of discovery:
• 16.7k
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### Pythagorean quilts

The optimal solution is which is achievable (for example) like this: For another (or perhaps, the other) way to achieve the minimal number of pieces, you can check out OP's self-answer below. Here'...
• 78.6k

### Pythagorean pentagons

6 pieces, no flipping required: History: 7 pieces, no flipping required: 8 pieces, requires two flips 9 pieces, requires one flip very similar: 10 pieces, no flipping required not very elegant, ...
• 21.4k

### Pythagorean pentagons

My efforts to minimize the number of pieces did not improve upon loopy walt's best, but here is another 7-piece solution without flipping: Sixteen pieces, with some flipping required.
• 16.7k
Accepted

### Maximum Pieces of Cake in Four Cuts

If all cuts are straight cuts and the cake is a rectangular prism or cylinder, it's not possible. From Wikipedia's page on the Cake Number: In mathematics, the cake number, denoted by Cn, is the ...
• 17.5k

### Dissecting the holey octomino into a square

Well, from my viewpoint this is a four-piece dissection, since parts of each piece don't move relatively to each other. They are even connected, to some extent. However, I would completely agree that ...
• 6,962
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### You find a piece of paper in your bag

I believe this cut should work:
• 150k
Accepted

### A pizza dilemma

I found a solution where every slice is strictly larger than 8 square inches: I found a solution, and after comparing it to @spherical-wug-in-a-vacuum's solution, I found a solution which uses fewer, ...
• 7,260
Accepted

### Dividing shape into 2 congruent pieces

One solution that follows the grid lines: Alternative representation (for browsers/fonts that don't display Unicode U+1F7E5 or U+1F7E6 correctly):
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### Pythagorean pentagons

OK, I'll give you my solution for reference. And just for fun, here is another seven piece solution. And finally my own 6-piece solution
• 31k

### Four fanatics and one checkerboard

I'm not sure why you'd need ANY sort of dissection for this.
• 2,777
Accepted

### Cutting a cross made of 5 equal squares by 2 straight cut into 4 figure to together form a square

Here is a good way of seeing how this dissection comes about.
Accepted

### Can I Haz My Eye Center'd?

One (non-straight) cut: (Or a different image by Carl Löndahl: https://nup.pw/YK9cjY.png)
Accepted

### Near-fill with 3x1 long triominos, how to do a different void square than the center square?

The trick to this puzzle is to: (And here are those tilings: the center was already given, and the rest are obtainable from these by rotation.)
• 150k

### Cut this shape into 3 pieces and fit them together to form a square

Here is a solution that works in the general case of two squares of any size placed next to each other.

### Universal dissection

I think it is possible to do with Which look like
• 9,620
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### Restore the square

Apologies for the crude drawing but I think you need to do something like this Some deduction that went into this answer
• 138k
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### Obtain four equal parts with a single cut

Okay, I don't know how people here create images that fast, but I get a more sheet-like solution.
• 2,053
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### Piece of Cake for King Solomon

To divide the cake into n equal pieces, Proof: Here is a drawing to illustrate how it works:
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### Cut this shape into 3 pieces and fit them together to form a square

A slightly different graphic:
• 62.2k
Accepted

The claim is
• 21.4k
Accepted

### Dissecting the holey octomino into a square

I seriously doubt that this can be done in 4 pieces or less. It would be a miracle if it was possible, but it obviously isn't a walk in the park to prove. Regardless, to get people started, I have ...
• 9,917

### How can the white cross be cut into 5 smaller pieces that can be resembled into the two smaller red crosses shown?

Here is a visual answer. And the pieces joined together
• 10.3k
Accepted

### Dividing a square field into 5 equal regions

Edit/Note: I gave this answer assuming fractional fences where not allowed. As such I did not carefully think about the second picture. Obviously that answer is not optimal if fractional fence ...
• 9,411