Morphic numbers, measurement, sequences, and tilings

02/20/2018 - 12:15pm
02/20/2018 - 1:10pm
Barry Balof (Whitman College)

The Golden Ratio, $\phi$, arises naturally from the Fibonacci Numbers, and is a well-studied constant with many diverse applications. Perhaps less well-known is the 'Plastic Constant', $\psi$, which arises from the Padovan Sequence. Both constants share some interesting algebraic and geometric properties, which we will explore. We will also look at some diverse applications of $\psi$ to measurement and architecture, and some combinatorial extensions of classic tiling problems.

Millikan 2099, Pomona College

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