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.
More Quotes from Roger Penrose:
But I think it is a serious issue to wonder about the other platonic absolutes of say beauty and morality.Roger Penrose
My own way of thinking is to ponder long and I hope deeply on problems and for a long time which I keep away for years and years and I never really let them go.
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The basic theory in twistor theory is not to add extra dimensions.
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Ordinary photons do have spin, they have a notion of helicity so they spin around their direction on motion.
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And these little things may not seem like much but after a while they take you off on a direction where you may be a long way off from what other people have been thinking about.
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As you say, the way string theory requires all these extra dimensions and this comes from certain consistency requirements about how string should behave and so on.
Roger Penrose
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Based on Topics: Idea QuotesBased on Keywords: repeats
The universe is popping all over the place.
Riccardo Giacconi
Tradition means giving votes to the most obscure of all classes, our ancestors. It is the democracy of the dead. Tradition refuses to submit to that arrogant oligarchy who merely happen to be walking around.
Gilbert K. Chesterton
Keep every promise you make and only make promises you can keep.
Anthony Hitt