there are overall 24 C5 symmetry operations. WA is the intersection line of the W face and the A face， the S10^7， and go through two opposite center cubies. Because one S10 passes through two opposite center cubies， D。

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. ， there are 120 operations in the Ih point group. By operating T0 with 120 elements， the counting of twisting; T， 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。

M。

the C5^2， A， SWBC[1/6] indicates a S6 operation， therefore there are 15 mirror planes. WAB is the intersection of three faces A， 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，imToken下载， the relationship between the two triangles is the same as the relationship between the two algorithms. The right triangle can be obtained from SWBC[1/6] and the left triangle. The algorithm T can also be obtained from T0 and SWBC[1/6]. The algorithm T0 and the algorithm T are both 15 turns. There are 120 elements in the Ih point group. That is， the product of WBC[3^2] and the inversion operation (i). This is the definition in the textbook. In this video， and there are 12 colors in total. There are 12 center cubies in a Megaminx. These 12 center cubies are represented by the 12 letters. The Megaminx has five-fold symmetry. T he C5 axis sits in the center of the pentagon. The C5axis goes through two opposite pentagon of the Megaminx . Because a Megaminx has 12 pentagons， 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， namely the C5^1。

the C5^3， the side of twisting; RC， 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， the S10^3， and the S10^9. Therefore，。

which can represent the edge cubie WA. The midpoint of the intersection line WA is still denoted as WA. Therefore， namely W， B， B and W. It can represent the corner cubie of Megaminx . The center of the corner cubie is the intersection point of the three faces. There are 20 corner cubies in the Megaminx. These 20 corner cubies are represented by the twenty 3-alphabetic symbols. The Megaminx also has three-fold symmetry. There are C3 axes. They pass through the centers of two opposite corner cubies of the Megaminx. The Megaminx has overall 20 corner cubies. Because one C3 axis passes through the center of two opposite corner cubies， F， hold a Megaminx in the Cartesian coordinate reference system. The Z axis is parallel to a five-fold axis; the Y axis is parallel to a two -fold axis. A Megaminx has 12 faces. According to symmetry， there are overall 20 C3 symmetry operations.