All Questions
6
questions
8
votes
3answers
356 views
Four-in-a-line Puzzle
Disclaimer: This is an open-problem, I don't have a complete solution for this puzzle yet.
We are playing a $2$-player game: you as a challenger and me as a judge. Initially, there is an empty ...
13
votes
3answers
1k views
Spider and fly on a cube
A spider and a fly play a game with a cube of side length $s=1$ and with a positive real number $d$.
First, the spider picks its starting point $S$ somewhere on the surface of the cube.
Then the fly ...
2
votes
3answers
210 views
Who plays with these dice?
As I was visiting a gadget shop I noticed these dice that had this images from top, front, and side - presented in the picture. Than I noticed another feature and knew it. Who plays with these dice? ...
7
votes
1answer
833 views
The Triangle Game
Take an equilateral triangle with dots at the vertices and at the midpoints of each side:
There are a total of six dots.
In the triangle game, you have the numbers 1, 2, 3, 4, 5, 6. Place one number ...
10
votes
3answers
2k views
Precision Tag - can the lion win?
This is a spin-off motivated by Lopsy's interesting variant of Gamow's lion and zebras puzzle. It arose from a line of enquiry that tried to extend the vertical run past 5000km (or characterise the ...
32
votes
10answers
3k views
Variant of lion and 100 zebras
Note: This problem remains unsolved, as of 4 Feb 2018, so do try it out
This a variation of this question by @Gamow
Suppose there are $100$ lions and $100$ zebras. The lions function together as a ...