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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 …
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 …
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 …
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 …
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 …
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 …
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 …
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
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 …
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.
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 …
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 …
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 …
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: …