There are two more solutions. A) using only one line B) using one line of zero length (i.e. using a degenerate line which is a point)
Regarding A) The problem can be solved with a single line if:
- the dots are not infinitely small (as in the 3 line solution) - you have enough paper to cover the planet (Or at least enough of a strip to go once around the earth)
Just draw a line which goes almost - but not quite - through the three dots at the bottom. The line will go around the planet twice and 'corkscrew' through the remaining points.
If you feel like using less paper just bend a small piece of paper with the puzzle on it into a cylinder.
Reagrding B)
Fold the paper so that all dots touch. Punch a line thrugh the paper. If it is 'ideal' paper (zero thickness) then the line will have zero length. If it is not ideal paper then the folding is a bit more tricky, but you can still do it if you fold it like a crown (a dort at each apex) and have the dots touch.
A) using only one line
B) using one line of zero length (i.e. using a degenerate line which is a point)
Regarding A) The problem can be solved with a single line if:
- the dots are not infinitely small (as in the 3 line solution)
- you have enough paper to cover the planet (Or at least enough of a strip to go once around the earth)
Just draw a line which goes almost - but not quite - through the three dots at the bottom. The line will go around the planet twice and 'corkscrew' through the remaining points.
If you feel like using less paper just bend a small piece of paper with the puzzle on it into a cylinder.
Reagrding B)
Fold the paper so that all dots touch. Punch a line thrugh the paper. If it is 'ideal' paper (zero thickness) then the line will have zero length. If it is not ideal paper then the folding is a bit more tricky, but you can still do it if you fold it like a crown (a dort at each apex) and have the dots touch.