I'm studying the topic of sound waves in digital audio.
I have a basic understanding of the concepts of frequency, amplitude, samples, and how it all comes together to create a sound with a distinct pitch and 'tone' (timbre).
My question is this:
Can a sound wave take any shape? E.g. I know that there are sine waves (in the shape of a sine function), square waves, 'triangle' waves, etc. Can a wave take any shape and be heard in a distinct timbre?
Also, as a separate question: can two one sine waves in the same frequency sound different? Does 'sine wave' mean a very specific shape? Or can a 'sine wave' take many kinds of shapes?