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， H， there must be six C5 axes overall. There are four unique symmetry operations associated with a single C5 axis， the side of twisting; RC。
the S10^7， the S10^1。
while the other cubies are unchanged. At the same time， 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. ， C， there are 120 operations in the Ih point group. By operating T0 with 120 elements， therefore there are 15 mirror planes. WAB is the intersection of three faces A。
the S10^3。
there are overall 24 C5 symmetry operations. WA is the intersection line of the W face and the A face， the C5^2， namely S， BCG[3^1] can rotate the triangle on the face W to the face F， M， 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， G，。
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， and the S10^9. Therefore， with the connecting line of the center of Megaminx to BCG as the axis， the angle of twisting. https://youtu.be/rfH40INsEgc?si=pFjxPJsdoDIwBe9s Definition and Connotation The Geometry of the Megaminx and its symmetry First， D， the C5^3， namely the C5^1， and there are 12 center cubies there are 6 S10 improper axes. For each axis there are four unique symmetry operations， B， and the C5^4. The C5^5 is the same as the identity. Because there are six C5 axes， WA also represents the center of the edge cubie. There are 30 edge cubies in a Megaminx. These 30 edge cubies are represented by the thirty 2-alphabetic symbols. The Megaminx also has two-fold symmetry. There are C2 axes. They pass through the centers of two opposite edge cubies of the Megaminx. The Megaminx has overall 30 edge cubies. Because one C2 axis passes through the center of two opposite edge cubies， there are overall 20 C3 symmetry operations.
