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Mathematics as an art: Fourier epicycle library

If you are remotely interested in mathematics, you'd probably heard of Fourier, or Joseph Fourier . His name comes to mind whenever a physicist, electronic engineer or any technical person deals with frequencies . I don't need to praise Fourier anymore because there are tons of videos and articles about him all over the internet.  In this article, I will be talking about Fourier series and epicycles (Foucycle), seemingly two distinct branches of mathematics if you're unaware of Euler's famous formula . Epicycles are essentially circles within circles, they have been studied extensively by astronomers because it was thought planets' motion was perfectly circular (Not to mention how they were convinced the earth was the centre of the universe) until the inverse-square law of planet motion was introduced by Keppler and Newton . Fourier series is essentially a way to approximate any function as the infinite sum of scaled sins and cosines, simple yet revolutionary. 

Communication without noise

Communicating information is perhaps the highlight of the 21st century; the obvious example is the boom in internet and smartphone use in the last 20 years or so; everything is well connected and messages get sent within a fraction of a second. A less obvious example of communicating information is through reading information stored in physical object prone to damage. For example, a CD could be scratched slightly but still, all the relevant information can be recovered properly.  How did we arrive at such a resilient communication? Let's take communicating with your partner as  an example. Without sounding too much like a family consultant, the key here is to send your message as clearly as possible to avoid misunderstanding. Let's say you are an intelligent being who can formulate a proper and grammatically correct sentence, and you wanted to say "I want pizza". You could say the sentence face to face, and hopefully, your crave for pizza would be communicate