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Explore a fascinating 30-minute video that unveils a recent discovery providing a new visual key to hidden self-similar patterns in Pascal's triangle and naturally occurring patterns on snail shells. Delve into Sierpinski's triangle, Pascal's triangle, and modular arithmetic while examining a giant pet snail shell. Learn about the connections between mathematical concepts and natural phenomena, and discover how this chance finding from 2002 sheds new light on ancient Pascalian puzzles. Gain insights into the mathematical mysteries behind triangle and pyramid patterns, and explore related resources including articles, books, and interactive demonstrations.