It was originally only for iPad, but a recent update added iPhone compatibility.
I had seen similar games where you had to draw the path with your finger; in this case, however, the path is created by adjusting the control points of a Bézier curve, hence the title of the game. The Bézier curve ensures that that the lines are always smoothly curved.
For precise control, you can also zoom in using the pinch gesture.
The Bézier curve is not the only thing you can control: in many puzzles you'll be given other props, which play a fundamental part in the solution.
The first prop you meet is the Velocity Boost, which accelerates the ball in the direction of your choice.
There's a total of 80 puzzles, split across 4 groups of 20 puzzles each.
The second group introduces portals, which open up a lot of possibilities. Don't try the infinite fall trick which you could do in the Portal video game by Valve, though: sadly, the portals disappear after you pass through them.
The puzzles containing portals tend to also contain impenetrable walls, so you need to use the portal as the only mean to get on the other side.
If you get stuck, you can use the light bulb button to get a hint. Hints are very well done and, instead of giving a detailed solution, draw a sketch of the basic elements needed. They seem to be more explicit in the first few puzzles and more suggestive in the later ones.
The puzzle selection screen (on iPhone at least) isn't great: it is paged and you can see 8 puzzles at a time, but each group contains 20 puzzles, so you get only 4 puzzles in the third page. This feels odd, surely two pages with 10 puzzles each would seem to make more sense.
If you like physics puzzles, Bézier is a worthy addition, with good mechanics and an impeccable presentation. A free version is also available to try it before buying the full version.
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