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About Group - Theory (A Tutorial)
The document discusses the concept of group theory and symmetry groups using the example of an equilateral triangle. It identifies the six symmetries that leave the triangle indistinguishable from its original position - three rotations (identity, 120 degrees, 240 degrees) and three reflections (vertical axis, 120 degrees then vertical reflection, 240 degrees then vertical reflection). These six symmetries form the symmetry group of the triangle, labeled D3, which has the properties of being closed under combination and having identity and inverse elements.
Detailed Information
Author: | ['AZOGTHOTH'] |
---|---|
Publication Year: | 2017 |
Pages: | 27 |
Language: | English |
Format: | |
Price: | FREE |
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