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Theory Group Puzzles

Puzzle Set 1: Posed in the Year-end Special Theory Group contest
An interesting set which teases one's curiosity with a network of resistances and a pack of cards! It also has a question posed by a Fields Medal winner.
Questions     Hints  
Puzzle Set 2: Pi Special
This will not give you the best ways to get π. But certainly quirky ones!
Questions     Encrypted solution  

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