The play area is a group of vines, populated by round creatures and the occasional grape. When the leaves of two vines are at the same height, you can jump to the right (and only to the right). So for example, from this position you can only make the top creature jump.
The movement rules made me think of Gray codes for some reason, though I don't think the similarity can help in solving the puzzles :-)
The puzzles actually start very, very easy, leaving very few options to choose from (in the example above, you can't make a mistake even if you wanted to), which made me wonder if the game wasn't too easy. Then I found a sudden difficulty spike in level 1-19, which took me many attempts despite its innocuous look (note: you can't see a grape in this shot. That's because it above the top of the screen, and you need to pull down the right vine to bring it into view).
A purchase which very few people made, from what I can see in the Game Center leaderboards. That's a real shame, because the game gets a lot more interesting after the fold. The complexity of the puzzles increases, and figuring out the right sequence of jumps can take some time and thought.
As is often the case with sequential movement puzzles, finding the solution (which is not necessarily unique) is more a matter of trial and error (and memory!) than logic. Thanks to the clever mechanics, however, this kind of trial and error is actually pretty fun.
Interestingly, after I got used to the mechanics I found it a lot easier to predict the outcome of my moves, and developed an instinct for which path should be the right one. The wonderful thing is that my instinct would often be totally wrong, because the solution required some counterintuitive move.
In later puzzles, the game adds new elements, like ladybugs and hedgehogs:
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