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Explore the intriguing concepts presented in this 34-minute lecture by Stéphane Mallat at the Institut des Hautes Etudes Scientifiques (IHES). Delve into the fascinating topic of spiral patterns in scientific research and their implications for future developments. Gain insights into how looking back at past discoveries can inform and shape future advancements in a cyclical, spiral-like progression. Examine the interconnectedness of various scientific disciplines and how they contribute to this spiral pattern of knowledge growth. Discover how Mallat's expertise in applied mathematics and signal processing provides a unique perspective on this thought-provoking subject.