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A puzzle related to mathematical facts and objects, whose solution needs mathematical arguments. General mathematics questions are off-topic but can be asked on Mathematics Stack Exchange.

2 votes
2 answers
345 views

Old School Measuring

You have an obscure job in 1600's Brussels. You make reference sticks. You own a high-quality ruler (which are quite rare in that era) and use it to cut lengths of wood or metal to certain lengths a …
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4 votes
Accepted

Making perpetual motion machine from candy-sharing cats

To start, I'll grab your attention with this 13-PMM: 11 7 3 8 1 4 10 5 6 12 9 2 13 6 4 1 7 0 2 7 2 2 1 0 0 13 It is the largest PMM I found, and coincidentally the first odd one. It repea …
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4 votes

Who is our nearest planetary neighbor, on average?

Forgive me for being late to the party, but I must nitpick all the other answers. Original question: "What is the closest planet to Earth on average?" All of you translated that into: "Which planet …
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6 votes
5 answers
393 views

How to Modernize Student Council

You are the math teacher at a high school and you are in charge of organizing Student Council for the whole school next year. Your boss, the Principal, read a research paper on Student Councils and m …
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26 votes
4 answers
3k views

Savage Road Signs

There is a highway that starts in the city of Savage. You must must place distance marker signs on this highway for the outgoing traffic. According to highway code, there must be a distance marker s …
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2 votes
2 answers
792 views

Replacing Untold Billions

First: Assume Earth's population is 8,037,860,611 and they have ID numbers 1 through 8,037,860,611 You make a set of cards numbered 1 through 8,037,860,611 A robot goes to each person in turn and show …
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0 votes

How to Modernize Student Council

This is aimed at the bonus question: So for example Each student in the initial council must be separate from the others exactly n-1 times. The blank spots in the chart would be filled with oth …
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2 votes

How many times does the earth rotate per year?

Half jokey/ half serious answer: Or worse: Mama never told me not to play with axes
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1 vote

Restoring order in a deck of playing cards (II)

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6 votes
2 answers
351 views

Savage Road Signs (Part 3)

You only need to have read Part 1 to understand this question, reading Part 2 will only help understanding the epic storyline. Your daughter refuses to talk to you even though you have (once more) rep …
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1 vote

How will the wolf catch the sheep in minimum time?

Tried my hand at it. I saw no specified units so I assumed millennia and microns.
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7 votes
4 answers
380 views

Savage Road Signs (Part 2)

Please read part 1 or this might be confusing Since part 1, you have replaced the stolen stickers and your daughter has forgiven you. The highway ended up being a full 700km long, so you are happy t …
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9 votes
4 answers
1k views

Breaking Balance (Part C)

For a starting number of otherwise identical coins there are among them TWO IDENTICAL counterfeit coins which are either heavier or lighter than the rest. Using a three-pan balance (described in de …
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15 votes
6 answers
2k views

Pulling Apart a Jigsaw Puzzle

Assume you have a jigsaw puzzle that is also a tessellation. This means every piece has an identical shape and can be assembled into a 2D pattern that fills the plane with no gaps. Such a jigsaw puz …
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4 votes

Pulling Apart a Jigsaw Puzzle

Florian F's 2nd pattern is far and away my favorite, but if anyone was curious, I'll post my answers. First I wanted to show an example of something that doesn't work but really seems like it should: …
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