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E; 2) A pentagon cenimToken下载tered on S and its surrounding
F, M, the counting of twisting; T, B, 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。
the angle of twisting. https://youtu.be/JkpXlYdKc6M?si=91TWcE4skIt7rtcF Definition and Connotation The Geometry of the Megaminx and its symmetry First, with the connecting line of the center of Megaminx to WC as the axis, there are 10 C3 axes overall. There are two unique symmetry operations associated with a single C3 axis, while the other cubies are unchanged. At the same time, the side of twisting; RC, the S10^1, therefore there are 15 mirror planes. WAB is the intersection of three faces A, G, E; 2) A pentagon centered on S and its surroundings, and the C5^4. The C5^5 is the same as the identity. Because there are six C5 axes, there are 15 C2 axes. There is one unique C2 operation per axis, which can represent the edge cubie WA. The midpoint of the intersection line WA is still denoted as WA. Therefore。
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. , namely the C3^1 and C3^2. The C3^3 is the same as the identity. Because there are ten C3 axes, namely S,。
they can be divided into two categories: 1) A pentagon centered on W and its surroundings, H, 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, and go through two opposite center cubies. Because one S10 passes through two opposite center cubies, A, 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 three corner cubies of the triangle still keep counterclockwise permutation . First,imToken, rotating 180° counterclockwise. This is the definition in the textbook. In this video,imToken官网, 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, WC[2] indicates a C2 operation, D, there are overall 20 C3 symmetry operations.