Arduino enthusiasts searching for a board that supports connection via Bluetooth rather than USB may be interested in the Z-duino Bluetooth Arduino board recently launched via Kickstarter.

This lets you connect existing Arduino Shields to add Bluetooth, a touchscreen, or more for testing or hardware development purposes. via PRWeb Support Liliputing ...

In Connecting to Intel® Edison from Android* with Bluetooth* LE (BLE) describes a way to access BT via Arduino code but additional BT shield/kit is required.

The $22 kit includes an Arduino-BLE board and 6-pin header that should be fairly broadly applicable for building Arduino-based hardware that can communicate with iOS devices.