## Rules of Snowflake Sudoku

- Details
- Created: Sunday, 29 January 2017 14:31

The Snowflake Sudoku is composed of hexagons that overlap partially. The goal is to put a number from 1 to 6 in each hexagon so that no number repeats. The problem is that a hexagon shares cells with 2 other hexagons then a number of a hexagon belong to two other hexagons. This is an example of this puzzle with the solution.

## Some considerations about the grid.

The grid is composed of 13 hexagons, each hexagon has a circle in the middle.

But also the grid has 6 partial hexagons (shaded in red and yellow) containing 4 cells, then only 4 numbers ( from one to six) can be written in these areas with no repetition.

## Example of resolution

With this example we are able to start the puzzle like that ( I colored the centre of some hexagons to distinguish them) .

The hexagon having a blue centre intersect two other hexagons with a red center. These two hexagons have a 2 then the only empty cell in the blue hexagon must accept the 2 (the number written in red).This let us add a new number, because the new 2 is part of two hexagons (with the green centre) and the only cell available in the yellow hexagon receive the 2 (again written in red). The consequence is that the second green hexagon has a 1 and the only free cell in the yellow hexagon that do not belong to the second green hexagon receive the 1 (in red). Now look at the black hexagon (at the bottom), the blue hexagon has a 6 and it shares two cells with the black hexagon. But the partial hexagon at the right of the black one has a 6 and it shares two other cells with the black one. So the only cell available has the 6 (in red).

This puzzle could have a bigger size with 43 hexagons and 12 partial hexagons like this.