The mastermorphix is a shape changing cube. It can come in 2 by 2, 3 by 3, 4 by 4, and so on, but I only have the 3 by 3 mastermorphix. It can also come in triangular shape. If yours is in triangular shape you still solve it the same way. The cube in the picture on the left/bellow is the 3 by 3, pillowed mastermorphix. It has 4 sides in total and when you rotate a side it takes 4 turns to get it back. It touches all sides unlike a regular cube.
On Amazon, the 3 by 3 pillowed mastermorphix that I got is $7.99. It is a good deal and I am happy with it. It is a stickerless speed cube. (with prime)
You solve the mastermorphix like a regular 3 by 3 cube, except, you solve the yellow cross, and twisting the corners differently. It is different and one of my favorite cubes.
A video on how to solve: https://www.youtube.com/watch?v=noGUAPtcYes&feature=youtu.be