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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.
13
votes
2
answers
1k
views
A logical puzzle about a pet shop
I am an undergraduate student studying languages and give private lessons to secondary school students to help them learn English. Recently one of them suddenly asked me during a lesson whether I coul …
6
votes
1
answer
261
views
How can I cut a cube so that all its vertices except for two mutually opposite vertices are ...
A friend of mine has been struggling with a solid geometry problem and, knowing my imagination skills developed by playing gomokunarabe and renju, has asked me to help her, but the problem has proved …
17
votes
Naughty knights
To add to the excellent proof posted by @AxiomaticSystem, I am posting my own proof. It came to my mind when I was riding in public transport and couldn't draw anything, so my proof doesn't rely on an …
12
votes
2
answers
3k
views
Cut this shape into 3 pieces and fit them together to form a square
A shape is drawn on a sheet of squared paper as shown in the picture below.
The shape is then cut from the sheet and given to you. You are asked to first make a straight cut across the shape and th …
18
votes
3
answers
3k
views
Naughty knights
Recently the British newspaper The Guardian published the following puzzle, titled Naughty Knights:
And here's the solution published by the newspaper later:
Unfortunately, this solution doesn't act …
85
votes
5
answers
8k
views
Can you fold a square into a square of one-fifth the area?
I love origami, and it recently gave me an idea for a very hard but beautiful puzzle. I'm really curious whether anyone here can solve it.
So here's the puzzle. You are given a large perfectly square …