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3 votes
4 answers
1k views

Drawing the grid without lifting the pen

The below shape consist of $24$ segments with unit length. if we want to draw this shape without lifting the pen, what is the minimum length of the line we should draw? $1)25\quad\quad\quad\quad\quad\...
Amirali's user avatar
  • 1,159
8 votes
2 answers
663 views

An ant walks on a cube over the diagonals of little cubes. Can it visit all little faces exactly once?

I have got this task at high-school math-contest seminar. The theme is graphs. Let us have $n \in \mathbb{N}$ and the cube $ n \times n \times n$. An ant can go over a diagonal of little cubes, but ...
Lada Dudnikova's user avatar