# The Pentomino Snake

The premise of the puzzle is quite simple. Here's how to set it up.

1. Draw a 5x5 grid of squares.

2. Write the number 1 in the middle.

3. Make a "snake" of numbers up to 25 so that each number is orthogonal from the previous number AND the next number.

4. Divide the grid into the pentominoes formed by the numbers 1-5, 6-10, 11-15, 16-20, and 21-25.

5. If no two of the pentominoes are the same when rotated or reflected, you win. If two or more are, then you lose.

Example:

This fails because 6-10 and 11-15 are the same, as are 16-20 and 21-25.

(I don't quite know how to tag this, feel free to edit some other tags in.)

• I don't understand each number is orthogonal from the previous number AND the next number. Do you simply mean that n should be connected to n-1 and n+1, no matter in which direction? – Eric Duminil Nov 8 '18 at 8:13

If I understand the game correctly,

21,22,23,24,25
20,11,10, 9, 8
19,12, 1, 2, 7
18,13,14, 3, 6
17,16,15, 4, 5

• I had a rotation of this. Well done! – Excited Raichu Nov 7 '18 at 18:20

I guess, I'm too late, but I propose

[

• Nice! And looks "prettier" than mine! – Greg Nov 7 '18 at 18:27