A Polyphony demo running on iOS that performs real-time text editing with http://polyphony-ot.com. It shows how to build a completely native real-time editor without using any WebViews.
Since this app is only a demo, it cannot be published to the AppStore. In order to install and run it, you must have Xcode 6 installed. Once you have Xcode installed, simply open PolyphonyDemo.xcworkspace and run the app with Cmd+R.
All of the code for the demo can be found in PolyphonyDemo/PolyphonyDemo/PLYViewController.m. It demonstrates how to create a real-time text editor using a UITextView and a Polyphony client.