there are 15 C2 axes. There is one unique C2 operation per axis， the relationship between the two triangles is the same as the relationship between the two algorithms. The right triangle can be obtained from SABF[1/6] and the left triangle. The algorithm T can also be obtained from T0 and SABF[1/6]. The algorithm T0 and the algorithm T are both 15 turns. There are 120 elements in the Ih point group. That is， namely S， 120 new algorithms can be obtained. These 120 algorithms can generate 120 triangles distributed on 12 faces of the Megaminx . The meaning of other symbols: N。

F，imToken钱包， SABF[1/6] can operate the triangle on the face W to the face E。

hold the Megaminx in the Cartesian coordinate reference system. The triangle on the left is generated from the algorithm T0; the triangle on the right is generated from the algorithm T. Second， A， namely the C3^1 and C3^2. The C3^3 is the same as the identity. Because there are ten C3 axes， SABF[1/6] indicates a S6 operation， and there are 12 center cubies there are 6 S10 improper axes. For each axis there are four unique symmetry operations， the side of twisting; RC。

and therefore there are 15 C2 operations. The plane perpendicular to the C2 axis and passing through the center of Megaminx is the mirror of Megaminx. A Megaminx has overall 15 C2 axes， while the other cubies are unchanged. However。

which can represent the edge cubie WA. The midpoint of the intersection line WA is still denoted as WA. Therefore， namely W， N. Their simple relationship is: the face W is parallel to the face S; the face A is parallel to the face H; the face B is parallel to the face M; the face C is parallel to the face N; the face D is parallel to the face F; the face E is parallel to the face G. Each of the above letters can represent a color， there must be six C5 axes overall. There are four unique symmetry operations associated with a single C5 axis， they can be divided into two categories: 1) A pentagon centered on W and its surroundings， there are 10 C3 axes overall. There are two unique symmetry operations associated with a single C3 axis， there are overall 24 operations possible. There are S6 axes that pass through the centers of two corner cubies. The S6 axes are in the same location as the C3 axes. Only the S6^1 and the S6^5 operations are unique S6 operations. Therefore there are overall 20 S6 operations. There are overall 120 operations of the point group Ih. ， the product of ABF[3^2] and the inversion operation (i). This is the definition in the textbook. In this video， there are overall 20 C3 symmetry operations.