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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
378 views

The Grand Exercise in Following Directions

This is not an original puzzle. This puzzle was created by a really cool TA at my summer math camp, for a puzzle hunt that was started in compensation for a cancelled math tournament. I just thought t …
greenturtle3141's user avatar
4 votes
Accepted

The Grand Exercise in Following Directions

Heh, finally (re)cracked it. The key to this puzzle is this: Now... But... Now let's roll!
greenturtle3141's user avatar
9 votes
3 answers
686 views

A Mathematical Discussion: Fill in the Blank

I originally saw this on r/puzzles, and thought it deserved a place here. I have a solution to this puzzle, but it's really long and ugly. If anyone comes up with something simple, please share! …
greenturtle3141's user avatar
23 votes
Accepted

Confusion on a math puzzle

I'm unsure why you calculate a "countable contribution". The key idea is that each friend has, initially, a work obligation of 1/3 of the work. The sick friend was unable to contribute as such. The …
greenturtle3141's user avatar
2 votes

Checker-board Problems

Partial: The 4x4 can be done in Process: Fold bottom right to top left. Fold top right edge to meet first vertical line from left. Fold bottom left edge to meet first horizontal line from top. T …
greenturtle3141's user avatar
14 votes
2 answers
6k views

A Guide to the Number Rotation Puzzle

This is an extension of What is the strategy to solve Simon Tatham's Twiddle? in that it explicitly goes beyond the default gamemodes of Twiddle The Number Rotation Puzzle (NRP) is a combination puzz …
greenturtle3141's user avatar
13 votes

A Guide to the Number Rotation Puzzle

I contend that no advanced mathematics was done in the process. Not a single integral or summation, and no sight of a matrix or even a group. Math doesn't have to be scary or hard. …
greenturtle3141's user avatar
4 votes
Accepted

Shortest time to meet

Now that you've specified that you want a geometric construction... The basic idea here is that we'll flip the problem. Instead of directly constructing the point inside the triangle, we'll consider …
greenturtle3141's user avatar
11 votes
Accepted

A Guide to the Number Rotation Puzzle

This somehow became a 2019 Regeneron STS Finalist project. The intent of this answer is to provide an easy-to-follow, layman's explanation to the mechanics of the solving process. It's been an incre …
greenturtle3141's user avatar
6 votes
Accepted

Pumping triangles

The alternative solution: Then:
greenturtle3141's user avatar
12 votes
5 answers
860 views

Can the idiot's route be less expensive than the genius' route?

(I'm assuming that the solution has some form of math so I'm tagging with mathematics. Please change if this isn't very right.) …
greenturtle3141's user avatar
17 votes
Accepted

Make numbers 1 - 32 using the digits 2, 0, 1, 7

This answer has 29 expressions with the "2017" order. Those NOT in order are denoted by sadness - :( FOOLING AROUND (I'm simply curious about how far we can go)
greenturtle3141's user avatar
4 votes

Half the pentagon!

Building upon the "rectangle around pentagon" idea, I think I can assert that... I have yet to do it by hand for reasons you will see, but I have basically solved this for all obtuse pentagons. St …
greenturtle3141's user avatar
6 votes

N pirates on ship

I propse that the answer is: Reasoning: Simply use the same method of solving the puzzle backwards. To review the base logic, start with $2$ pirates. In this case, the pirate proposing the distri …
greenturtle3141's user avatar
5 votes

Shortest time to meet

I'm not sure what exactly you want but here you go: Suppose the equilateral triangle is $\triangle ABC$. Suppose further that the 5 m/s runner starts at $A$, the 4 m/s runner starts at $B$, and the 3 …
greenturtle3141's user avatar

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