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For questions requesting examples of a certain structure or phenomenon

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Examples of triality in mathematics

There are tons of interesting examples of duality in mathematics (Poincaré duality, Verdier duality, Stone duality, s-duality, Tannaka duality, Koszul duality, Spanier-Whitehead duality ... ). … What examples are there of triality in mathematics? Note: this is not a duplicate of the question about trichotomies in mathematics. A trichotomy is any sort of classification into three. …