Math Riddles, Murderous Maths, Notes on everyday life, Simon teaching, Simon's sketch book

Very irrational numbers expressed as their continued fractions

Simon wanted to make an outside video this afternoon, about what he’s been thinking of a lot lately – continued fractions. In the video below, he looks for curious number patterns while writing irrational numbers Phi and square root of 2 as their continued fractions. Partially inspired by Mathologer’s videos.

Square root of 2 expressed as its continued fraction:

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The Golden Ratio (Phi) and the Fibonacci numbers:

dsc_1794251582926.jpg

Phi expressed as its continued fraction:

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