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:
“The last of all the Romans, fare thee well.
It is impossible that ever Rome
Should breed thy fellow.”
—William Shakespeare (1564–1616)
“We have good reason to believe that memories of early childhood do not persist in consciousness because of the absence or fragmentary character of language covering this period. Words serve as fixatives for mental images. . . . Even at the end of the second year of life when word tags exist for a number of objects in the child’s life, these words are discrete and do not yet bind together the parts of an experience or organize them in a way that can produce a coherent memory.”
—Selma H. Fraiberg (20th century)