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Re:2D Terrain generation using midpoint displacement by DougBTX on Saturday December 24, 2016 @04:14PM (#13251651)
Yes, I think you could call it a fractal. The Wikipedia page linked to from the article says that this technique is also called a "random midpoint displacement fractal".
Re:2D Terrain generation using midpoint displacement by DanBC on Saturday December 24, 2016 @06:04PM (#13252011)
Midpoint displacement is mentioned in The Science of Fractal Images (and the Beauty of Fractal Images), and also in Mandelbrot's book Fractal Geometry of Nature.

From a phone, sorry about upside down: http://m.imgur.com/JGCpnIu

A snippet from "Science of Fractal Images"