Fractale

Fractale (フラクタル, Furakutaru) is an 11-episode Japanese anime television series produced by A-1 Pictures and Ordet and directed by Yutaka Yamamoto. The story was developed by Hiroki Azuma and the screenplay was written by Mari Okada, with original character design by Hidari. The anime aired in Japan between January and April 2011 on Fuji TV's Noitamina programming block. A manga illustrated by Mutsumi Akasaki was serialized in Square Enix's Gangan Online between September 2010 and November 2011.

Story
The story takes place on an island resembling a futuristic Ireland (certain scenes are directly taken from Galway city in the west of Ireland), in a world ruled by the "Fractale System" that ensures mankind's stability and prosperity. One day, Clain meets a fleeing girl called Phryne, who disappears during the night leaving a pendant. When he is able to activate the pendant (which turns into a "doppel" named Nessa), Clain sets out for a journey with the girl-shaped avatar Nessa to look for Phryne and discovers the secret behind the Fractale System.