All Questions
Tagged with eulerian-path geometry
4
questions
6
votes
1
answer
152
views
Is it possible to go over all lines of a grid with a pencil without lifting it or going over a drawn line?
Is it possible to go over all lines of an infinite grid with a pencil without lifting it or going over a drawn line ?
The pencil can cross through a segment already drawn but cannot go over an already ...
- 308
3
votes
1
answer
727
views
Prove/Disprove that you can't draw an X inside a box without lifting the pen
I apologize if this is a repost, but I couldn't find the question in case it does actually exist here.
I tried and it seems to me that we cannot draw a square with its diagonals without lifting the ...
user525755
3
votes
1
answer
1k
views
Paths of even and odd lengths between cube vertices
I have an ordinary cube with the standard 8 vertices and 12 edges. Say I define a path as a journey along the edges from one vertex to another such that no edge is used twice. Then I pick two vertices ...
- 412
37
votes
12
answers
134k
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Is it possible to draw this picture without lifting the pen?
Some days ago, our math teacher said that he would give a good grade to the first one that will manage to draw this:
To draw this without lifting the pen and without tracing the same line more than ...
- 641