Lines – 1
Here is a 2 by 2 array of dots. Four connected line segments have been drawn in a path that begins and ends at the same point, and that goes through all four points.
THE CHALLENGE
Find three connected line segments that create a path that begins and ends at the same point, and that goes through all four points.
EXPLORATION
Play around with other grids and discover shortest paths that go through all the points.
Notes
THE CHALLENGE
The key to answering this puzzle, and the next one with a 3 by 3 grid, is to think outside the “box.” The temptation in these puzzles is to think that the world of the puzzle is contained within the grid of points.
Here is the solution:
EXPLORATION
In the puzzle “Lines – 2” we will see the answer for a 3 by 3 grid where the path does not start and end at the same point. These are fun geometry puzzles and I am not aware of a general strategy of path creation that is associated with them.