So Penrose came up with a tiling system where the same pattern never repeats but every picture i see has loads of repeating patterns. Am i missing something or am i just stupid?

In:

Share & grow the world's knowledge!

So Penrose came up with a tiling system where the same pattern never repeats but every picture i see has loads of repeating patterns. Am i missing something or am i just stupid?

In:

- zharknado on Why is learning easier(or seems easier) when we’re young and futile, but as we get older learning gets harder, but understanding more abstract and complex subjects also gets easier?
- 86tuning on How does four wheel steering work?
- GingerMarquis on What exactly is the 180-degree rule?
- DirtCallsMeGrandPa on eli5: why does a car get 35mpg, but a lawn mower 2?
- -__---__---_ on Why does a tubelight look brigther when observed through a transparent bottle filled with water as compared to looking it through an empty bottle ?

Copyright © 2022 AnswerCult

the Penrose pattern is not exactly repetitive. There are small variations. Not that those patterns still have a very large 5-fold symmetry.

Prior to those patterns, mathematicians thought a 5-fold symmetry was generally impossible to do filling all the area fully. It still is impossible if you restrict yourself to exact repetitions. but once you lift that strict repetition, there are 5-fold patterns such that of Penrose.

This was nothing less than a revolution which changed so much our view of what symmetries really are.