"The idea is, if you use those two shapes and try to colour the plane with them so the colours match, then the only way that you can do this is to produce a pattern which never repeats itself"
About this Quote
The intent sits at the crossroads of math, perception, and physics. Penrose tilings - the quiet celebrity behind this line - showed that you can get order without periodicity: a structure that looks coherent at every scale but never settles into the comfort of a repeating wallpaper. In the 1970s, that was more than a geometric parlor trick. It was a rebuttal to an intuition baked into crystallography and everyday common sense: that symmetry and order mean repetition. A decade later, quasicrystals made the subtext literal in matter.
What makes the quote work is its bait-and-switch between the modest and the metaphysical. "Colour the plane" is childlike, almost casual; "never repeats itself" is existential. Penrose is pointing to emergence: how strict local laws can generate infinite non-redundant complexity, a thought that echoes from tilings to computation to theories of how physical law might produce the rich, non-repeating textures of the world. The unease is the point: the universe may be lawful without being predictable in the comforting, loopable way we prefer.
Quote Details
| Topic | Science |
|---|---|
| Source | Help us find the source |
| Cite |
Citation Formats
APA Style (7th ed.)
Penrose, Roger. (2026, February 16). The idea is, if you use those two shapes and try to colour the plane with them so the colours match, then the only way that you can do this is to produce a pattern which never repeats itself. FixQuotes. https://fixquotes.com/quotes/the-idea-is-if-you-use-those-two-shapes-and-try-149988/
Chicago Style
Penrose, Roger. "The idea is, if you use those two shapes and try to colour the plane with them so the colours match, then the only way that you can do this is to produce a pattern which never repeats itself." FixQuotes. February 16, 2026. https://fixquotes.com/quotes/the-idea-is-if-you-use-those-two-shapes-and-try-149988/.
MLA Style (9th ed.)
"The idea is, if you use those two shapes and try to colour the plane with them so the colours match, then the only way that you can do this is to produce a pattern which never repeats itself." FixQuotes, 16 Feb. 2026, https://fixquotes.com/quotes/the-idea-is-if-you-use-those-two-shapes-and-try-149988/. Accessed 25 Feb. 2026.




