What is map(+1)?

[hickford]

I don't understand map(+1)

1. Here it rotates the wall by one column to the left http://i.imgur.com/3hEXGQv.png
2. Here it changes pink blocks to brown on the bottom row http://i.imgur.com/QzTkuHW.png

[sharkdp]

The levels in chapter 3 are different from the rest. The title of level 3.1 ("0b0 .. 0b111") was a subtle hint that the stacks in these levels are to be thought of as binary representations of the numbers from 0 (0 0 0, pink pink pink) to 7 (1 1 1, brown brown brown).

Here it rotates the wall by one column to the left http://i.imgur.com/3hEXGQv.png

Furthermore, the mathematical operations (+1, ×2, ..) are evaluated modulo 8. This is why (+1) 'rotates' the numbers, 0 -> 1, 1 -> 2, ..., 7 -> 0 (Cyclic group C_8, in case that makes anything more clear).

Here it changes pink blocks to brown on the bottom row http://i.imgur.com/QzTkuHW.png

In this example, the numbers after the first step (×2) are 0 2 4 6 0 2 4 6. The subsequent (+1) flips the lowest bit: 1 3 5 7 1 3 5 7.

I realize that I'm asking quite a lot... mainly because it is still work in progress. I'm working on adding help text to the different levels right now, so hopefully this should be more clear in the future.

[hickford]

Thanks David, let me try again. Yes that makes sense, incrementing the same as rotating for the starting position.

Cool. Amusingly there's a class of games Towlr that deliberately don't tell how you play, that's part of the puzzle. eg. Terry Cavanagh's http://distractionware.com/games/flash/harmonilr/

[sharkdp]

I added a hint in the level 3.1 to make this a little bit easier.

I also spend more time than I would like to admit on this Towlr. I still haven't solved it but I will keep trying 😄. Thanks for the link!

[RazvanCosmeanu]

This one was tricky to understand. I mapped the columns as values that corresponded with modulo 8 values of the resulted column binary: [8, 9, 10, 11, 12, 13, 14, 15](±8 here), then mapped the result array to get an ideea of how it should look like. After that, is was simpler than I thought initially. Loving this game. uhm.. perhaps not the best place to comment, but thanks for this!