Impossible Discrete Symmetries
Since the overview is exhaustive, it also shows implicitly what is not possible as discrete symmetry group. For example:
- a C6 axis in one direction and a C3 in another
- a C5 axis in one direction and a C4 in another
- a C3 axis in one direction and another C3 axis in a perpendicular direction
etc.
Read more about this topic: Point Groups In Three Dimensions
Famous quotes containing the words impossible and/or discrete:
“Nothing is impossible in Russia but reform.”
—Oscar Wilde (1854–1900)
“The mastery of one’s phonemes may be compared to the violinist’s mastery of fingering. The violin string lends itself to a continuous gradation of tones, but the musician learns the discrete intervals at which to stop the string in order to play the conventional notes. We sound our phonemes like poor violinists, approximating each time to a fancied norm, and we receive our neighbor’s renderings indulgently, mentally rectifying the more glaring inaccuracies.”
—W.V. Quine (b. 1908)