
Fibonacci numbers make multiple appearances on this model of a pinecone. The numbered labels come in four shades: Can you figure out the rule behind the shading? What patterns are there in the colors of the pinecone’s bracts? For more, see A Mathematical Mosaic (MAA). Image by Henry Segerman; rendering by Bathsheba Grossman. Courtesy of Ravi Vakil.
MathFest 2009: Ravi Vakil to Deliver the Earl Raymond Hedrick Lecture Series
Classical structure in modern geometry, or modern structure in classical geometry
Lecture 1: The mathematics of doodling
Lecture 2: Murphy's Law in geometry
Lecture 3: Generalizing the cross ratio: the space of n points on the projective line
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