PPT Slide

Snakes can be partially described by using the following trick.

2345314234531423453142345314

.....1......1......1......1.

2......2......2......2......

.3..3...3..3...3..3...3..3..

..4...4..4...4..4...4..4...4

...5......5......5......5...

1 7 7 1 occurs every 7th number

2 7 7 2 occurs every 7th number

3 3 4 3 4 3 occurs every 3rd, 4th, 3rd, 4th number

4 4 3 4 3 4 occurs every 4th, 3rd, 4th, 3rd number

5 7 7 5 occurs every 7th number

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This 5-space snake belongs to the “class” of snakes described by the blue numbers. Snakes with the same class are equivalent. They’re the same snake.