Comments by "John Berry" (@user-ud6ui7zt3r) on "The Helicone Numberscope: Mathematical Superpowers Hidden in a Simple Toy" video.

  1. Dear Mathologer ... I discovered an interesting equivalence! Personally, I like to use DESMOS to plot the following functions. Once there, enter the function ๐‘ฅยฒ , and observe the plotted continuous graph. Now, in the next formula "cell", enter the following function... ๐‘ฆ = ( 1 / ( 19.93 ๐‘๐‘œ๐‘ ยฒ ( ๐‘ก๐‘Ž๐‘› โปยน ( ๐‘ฅ / 0.224 ) ) ) ) - 0.05 ...and observe the plotted continuous graph. Notice something? The two graphs plot precisely on top of each other. One graph is simply ๐‘ฅยฒ and the other graph is composed of ๐‘๐‘œ๐‘ ยฒ , ๐‘ก๐‘Ž๐‘› โปยน , and a few "tacked on" constants. Would this function equivalence be of any interest for part of a Mathologer video?
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