Hexagon Game

This is a puzzle and a board game.

Parts:

Hexagon grid, to put the pieces on.

Seven kind of pieces.

You need to print one base (hexagon grid) and three or four copies of each piece. Choose a different color for each type of piece.

If the base is too tight, print with 102% scale up in the x and y planes.

Puzzle:

The goal is to fill the base with the pieces, but without pieces of the same color touching.

Each side of the same color touching each other is one point (of different pieces), the goal Is to find a zero point solution.

The grid has 37 hexagons, so you need to use 7 pieces of 4 hexagons and 3 pieces of three hexagons. Or you can use 4 pieces of 4 hexagons and 7 pieces of 3 hexagons.

Levels:

First level you can use every kind of piece, and many copies that you want.

Second level: you remove all pieces of one color, so you can use only six type of pieces.

Third level: you remove two colors, only 5 colors available.

Fourth level: play only with 4 colors.

I found zero solutions for the first and second levels, please comment if you find a zero solution for the other levels!

Game:

For the game you need a set for every player.

Then you need to set a timer, 5-7 minutes is fine.

The goal is to fill the base with the hexagons with the lowest point counts before run out of time.

The points are the same that the puzzle, each side of the same colour touching (of different pieces) is one point.

You can start with level one and up one level in each round, the player with the lowest point count at the end of the rounds wins.