Bibles, Ogres, Onions, and Possibly Cakes

Up to some complexity level we may actually use symmetries to solve the problems. As a teenager I freaked a lot of school and University teachers with it. When I got twice older... I understood their problems really well - you fail to notice new things if you didn't think about 'em when you were ways younger...

When our brains fail at the task, we may use that groups math... but it works with some perfect, ideal symmetries.

As you are speaking about some "broken symmetries" - even the modern math won't help here a lot.

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