Circle constant Memes

The mathematical nirvana we never knew we needed! If we used τ (tau = 2π) instead of π, all these equations would simplify beautifully. Sin(τ/4) would equal exactly 1 (instead of sin(π/2)=1), ω would equal frequency directly (not 2πf), and e^iτ would equal 1 (not e^i2π=1). The wild-haired mathematician is basically having a transcendental experience imagining this cleaner, more elegant mathematical universe. Every math nerd secretly dreams of this paradise where the arbitrary factor of 2 disappears from our circular calculations forever!