The game I chose:
How it's played:
You start with a grid of variable size with black and white circles on some intersections. You have to figure out how to connect all the lines in one continuous loop around the grid, following the rules of:
White circles must be passed through in a straight line, but that line has to turn immediately, in any direction, after the circle at least once.Â
Black circles must create a corner, and both lines forming the 90 degree angle from the circle must continue straight for at least 2 segments.
You don't have to use the entire grid, but you do have to use all of the circles. I chose this puzzle because I've played small Masyu puzzles before and always enjoyed them, and this website had multiple options for size and difficulty to play around with. They're different from other grid puzzles like sudoku because there isn't always a guaranteed next correct move to see -- you have to trial-and-error different paths in a Masyu. I start by drawing all definite path segments, which you can get from the circles on the edges of the grid, and then use different colors (on paper) of lines to test possible path configurations through circles on the inner grid. I think it would be interesting to explore more strategies for solving these, and how to generate them so that they are always possible to solve.