An Android* phone or tablet running Android and has Bluetooth. Connect your Intel® Edison board to a Wi-Fi* network, see Get started with Intel® Edison technology.

This project incorporates communication between an Android Phone and the Arduino using Bluetooth. The basic functionality includes taking messages from an android phone, displaying them on an LCD ...

For now, it's only possible to connect to an Arduino board through USB via an OTG cable, but joaomcgd says he plans on adding support for Bluetooth or Wi-Fi receivers in the future.