What does "tilings of the plane" mean?

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Context:
His deep work on General Relativity has been a major factor in our understanding of black holes. His development of Twistor Theory has produced a beautiful and productive approach to the classical equations of mathematical physics. His tilings of the plane underlie the newly discovered quasi-crystals.[33]

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Type: Question • Score: 2 • Views: 555 • Replies: 6

[+3] - timur - 05/06/2015I suppose you guys missed Penrose's point. Tiling the plane: [img]https://naiadseye.files.wordpress.com/2014/10/einsteins-universe.jpg[/img]...

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@oristarA,

This really needs more context for me to really know what this is talking about.

But, I can infer a couple of things.

1) A "plane " is a mathematical term for a two-dimensional flat surface.

2) Tiling is another mathematical term for placing two dimensional shapes on a plane so that there is no space between them. The allusion is to putting tiles on a floor.

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@maxdancona,

Full context is to be found in wiki Roger Penrose entry.
I doubt that will help.

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@oristarA,

oristarA wrote:

Context:
His deep work on General Relativity has been a major factor in our understanding of black holes. His development of Twistor Theory has produced a beautiful and productive approach to the classical equations of mathematical physics. His tilings of the plane underlie the newly discovered quasi-crystals.[33]

All of that is found with one plane telescopes, their only way to detect anything in space. Does that sound logical?

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