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ADE type Dynkin diagrams

What is your favorite ADE-style classification? Here ADE style is to be understood in a very broad sense. A classification which is not precisely ADE, but roughly related is fine. For example simple complex Lie algebras, or affine Weyl groups would be okay.

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What is your favorite ADE-style classification?

What is your favorite ADE-style classification? Here ADE style is to be understood in a very broad sense. A classification which is not precisely ADE, but roughly related is fine. For example simple complex Lie algebras, or affine Weyl groups would be okay.