Polar form Memes

The mathematical awakening depicted here is what happens when you fall asleep during complex analysis and wake up in the fourth dimension. Starting with peaceful slumber, then basic imaginary numbers (a+bi), followed by their polar form r(cosθ+isinθ), and finally achieving mathematical nirvana with Euler's identity e iθ . It's the exact sequence of expressions mathematicians see before they tell you "it's just a simple calculation" on the exam. The cosmic brain explosion at the end is just what happens when you realize all these expressions are actually equivalent and math is just one big inside joke.