![]() ![]() Look at the simple linear design at the top of Fig. With this notion of translational symmetry in mind, we can distinguish between two basic types of repeating pattern. After all, you can always imagine converting a finite pattern into an infinite one by extending it indefinitely. Nevertheless, for our purposes it will be useful to apply translational symmetry in a looser sense to include finite as well as infinite repeating patterns. If the repeating pattern is of a limited length you could tell that it had been shifted along by observing the movement of its ends. Strictly speaking, only infinite patterns show this sort of symmetry. Similarly, an infinitely long page of written 'lines' would not be altered by shifting it up or down by one line. In other words, you would not be able to tell that such a transformation, called a translation, had been applied by simply looking at the outcome. ![]() If you were to shift the pattern along by one length of the repeating unit, you would end up with exactly the same pattern again. 15.1 carried on for an infinite distance to the left and right. Imagine, for example, that the design in Fig. An object with translational symmetry doesn't change when you move or shift it along in a straight line by a certain amount. We have already come across rotational symmetries, in which an object is left unchanged when it is turned and reflection symmetries, in which appearances are preserved following reflection in a plane. Remember that the symmetry of an object can be defined by the number of different transformations that can be applied to it that leave it unchanged (Chapter 13). The type of symmetry displayed when a sentence or design is repeated is known as translational symmetry. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |