Simple Square Wave DC to AC Inverter

Hi everyone!

I'm attempting to make a DC to AC inverter using nothing but transistors and my arduino board, and I've so far been able to send alternating signals out of ports 12 and 13 to the base of two transistors connected to the 5V voltage source on the arduino board. This works just fine, and the transistors alternate supplying current to whatever I want, e.g. some LEDs, but I have no idea how to connect the two separate circuits to create a single AC circuit.

I'm very new to the field of electronics, so there is probably something simple that I am missing.

You are missing a center-tapped transformer, connected something like shown here: http://www.electroschematics.com/220/12v-dc-220v-ac-converter/

A library "toneAC" creates alternating signals on pin 9 and 10, from 1 Hz up to megaherzes.