Keynote: How to bake "How to Bake Pi"
summary
Argues that abstraction turns different problems into the same structure and demonstrates it with concrete experiments: drawing a braid diagram for a Bach prelude to follow four voices, using long‑exposure juggling photos to match that braid, showing the factors of 30 form the vertices of a cube, and encoding groups as Battenberg cakes and iterated Battenberg (the Cayley table visualized). Uses paper models and a 3D‑printed sculpture that assembles into a cube/tree, recipes and photography as tools, and claims these methods convince non‑mathematicians that category theory actually helps.
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chapters (22)
- 0:00Introduction
- 1:08The Purpose of Abstraction
- 3:28Math as Conservation
- 5:28Cooking and Mathematics
- 7:03Defining Mathematics
- 9:53Bach and Visualization
- 14:06Braids and Higher Dimensions
- 15:15Juggling and Braids
- 17:43Hair and Mathematics
- 19:44Factors of Thirty
- 22:14Geometry of Numbers
- 23:53Math Education
- 25:17Knot Theory and Algebra
- 27:24Applying Math to Music
- 30:21Battenberg Cake Math
- 32:54Matrix and Group Theory
- 36:29Iterated Structures
- 38:48Trees and Associativity
- 42:32Custard and Recipes
- 46:12Final Structure Analysis
- 48:53Category Theory Conclusion
- 51:08Q&A and Discussion
