Solving Pyraminx with Group Theory

Abstract

Pyraminx and Skewb are complex but not innovative or interesting puzzles developed from traditional puzzles. Although people have been able to solve these two kinds of Rubik’s cube manually, the structure of the group of pyraminx and skewb still unclear and the algorithms for solving these two kinds of Rubik’s cube through group theory are unknown. Firstly, this paper introduces the structures of pyraminx and skewb. Skewb is closely related to the pyraminx. Because they all have four axes of rotation. So they have related mathematical structures connecting with group theory. Secondly, in this paper, we expound on the adequate and important conditions for a solvable state and give group theoretical analyses and solutions for certain cases.