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Fig. 1. 'Possum making things awesome.
If you're talking about something that feels like wizardry, try Lisp programming and pondering orbs.
Many early computer scientists thought Lisp was more advanced than any other coding language because it was easier to store and manipulate information, as well as think about. They wrote many of the early textbooks on the subject.
They also thought coding could accomplish much more than what coders can do in practice today. You can write several types of AI systems that are rare today.
You could use ideas about stuff like Circle Theorems to work less directly with numbers.