FizzBuzz with Cosines
a day ago
- #Programming
- #Fizz Buzz
- #Trigonometry
- Fizz Buzz is a counting game used in programming to test basic skills, where numbers are replaced by 'Fizz', 'Buzz', or 'FizzBuzz' based on divisibility by 3 and 5.
- The article explores a complex mathematical approach to Fizz Buzz using trigonometric functions, specifically cosines, to encode the game's rules in a single closed-form expression.
- A finite Fourier series is derived to determine the output for any integer n, replacing traditional conditional checks with a trigonometric formula.
- The solution involves defining indicator functions and symbol functions, then translating these into a combination of cosine terms to select the correct output.
- A Python program demonstrates the implementation of this trigonometric approach, showcasing how the cosine terms correctly identify divisibility by 3 and 5.
- The article concludes by highlighting the unnecessary complexity introduced, humorously noting the achievement of making a simple problem more complicated through mathematical exploration.