Chebyshev Polynomials of the First Kind (synthwave enumeration)

Опубликовано: 16 Февраль 2026
на канале: Mathematical Visual Proofs
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This synthwave enumeration shows the first 20 Chebyshev polynomials of the first kind. The polynomials are plotted on the domain [-1,1] (and the range happens to also be [-1,1]). These polynomials are famously related to the Fibonacci numbers (and similar recurrence sequences) as well as to the cosine and sine trigonometry identities. I thought looking at them this way may spark some ideas.

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For more information about these polynomials, check out:
http://oeis.org/A028297
https://en.wikipedia.org/wiki/Chebysh...

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