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What is the shortest way to make parametric formula(s) that makes a Pikachu? I've seen many formulas on Wolfram Alpha and others but most seem to be either really long or consists of multiple formulas.

For those people who don't know what Pikachu is ( who doesn't) this is him. Pikachu!

I am looking for the basic outline and maybe a few details, but nothing in particular.

Maybe something like this:

What is a good example in the form of $X_t,Y_t$?

Xetrov
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    First of all, come out of your fantasy land. Second of all, no function in single variable can have two values for a single pre - image. So i don't think this is possible by "single function" – The Dead Legend May 06 '17 at 09:36
  • @TheDeadLegend , thanks for telling me to grow up. But I don't need to be told. There is plenty of growing up for me in the next $3*2$ years. An you don't even know how old I am!! – Xetrov May 06 '17 at 09:45
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    Lol, no one said about growing up xD. I just begged you to halt your search for a single variable function which will satisfy your pickachu ambtions. (I'm a charlizard fan though :p) – The Dead Legend May 06 '17 at 09:47
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    Use spline approximations. – Jean Marie May 06 '17 at 10:56

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Desmos uses only 56 curves. However, in order to be more efficient and make a graphed version of Pikachu resemble the original Pikachu as animated in the series or those that appear as sprites in the games, multiple curves need to be necessarily used.

What's the shortest Pikachu graph? The one on WA uses only 2 parametric functions! (Granted,the functions themselves are beasts composed of tons of added trig functions.)


Essentially, a very short set of equations describing pikachu would simply be of a lesser quality, i.e. it'll create a pikachu which wouldn't exactly BE a pikachu.