Tin

frankly i still haven't gotten over New Horizon's primary mission. like. i remember looking up stuff on wikipedia as a kid and the best image of pluto was a smudgy render based on hubble data

and now we've got this shit


lets fuckin Go

19 hexagons are arranged in a grid.
Each hexagon has a number of curved paths starting at one side and ending at another side,
possibly lining up with a path inside a neighboring hexagon.
The paths come in three different colors.
By clicking on a hexagon, it rotates 60 degrees.

1. There exists a single loop of line segments that passes through every tile of the grid.
2. No other loop exists.
3. Any set of three consecutive line segments on the loop contain each of the three colors.
4. The ends of any line segment not on the loop must either line up with a line segment of the same color or line up with the boundary of the grid.

The following is an example of a correct solution:

An example of a solution

Clarifications:

• A line segment is defined as a line that is fully contained within one hexagon, with its ends on two different sides of the hexagon.
• Rule #3 can be restated as: If a line segment is on the loop, its neighbors must
  • be of a different color than the color of that line segment, and
  • be of a different color from one another.
  So for instance if a line segment on the loop is yellow, then one of its neighbors must be blue and the other one red.
• Rule #4 can be elaborated as: An end of a line segment not on the loop must either
  • touch the boundary of the entire grid of hexagons, or
  • line up with a neighboring line segment of the same color.
  An end of a line segment not on the loop may neither
  • line up with a neighboring line segment of a different color, nor
  • line up with an empty side of a neighboring hexagon.
• The loop may pass through a tile multiple times. It may cross itself doing so.
• The black dots and dashes are only for visual aid in telling the colors apart.
• I forgot to include a solution, but this has kindly been provided here! (Spoiler warning)