While there may be oodles of games based on all kinds of different physics gameplay elements, it seems like the one game type that is in severely short supply on the App Store is bridge/structure building games. Prior to this evening, the two main contenders were Moonlights [$1.99 / Free] and Tiki Towers [99¢ / Free]-- Both fantastic games that I'd recommend to any fan of the genre. However, Gameloft's newly released Bridge Odyssey [$2.99] also is a very welcome addition to the bridge building landscape.
It should be obvious by now, but the premise of Bridge Odyssey is to construct a bridge from one side of the level to the other, using a set number of pieces indicated on the top left corner of the screen. Your bridge must be strong enough to withstand the traffic of the gang of animals that you slowly pick up as you progress through the game, and for bonus points you can build your bridge so said animals collect golden eggs which are distributed throughout the levels much like bananas in Tiki Towers.
As you can see in the gameplay video, everything in the game is accomplished using simple drags and taps on the touch screen and you can zoom in and out using the familiar iPhone pinching gestures. I did have some issues with piece placement and you can see me fighting with the game in the video, but since nothing is real-time, these problems only serve as minor annoyances because you can just easily fix any piece that didn't wind up where you want it to by using the undo button.
With so few quality bridge builders on the App Store, Bridge Odyssey, Moonlights, and Tiki Towers are all worth owning. It's hard to say which is the best of the three, since they're all good in their own ways.
App Store Link: Bridge Odyssey, $2.99