The Order Beneath No.01: Conformal — A short film about preserving angles | Math × Shader

Complex analysis in seven short chapters, from a warped sheet of graph paper whose tiniest cells are still square to the Riemann sphere, the hyperbolic plane and the Mandelbrot set. Every frame is computed by code; on the website, each one is drawn live in your browser as the film plays. Chapters 0:00 Prologue 0:23 I · Numbers in the plane 1:11 II · Painting a function 2:22 III · Preserving angles 3:28 IV · The point at infinity 4:38 V · An infinite plane in a disc 6:00 VI · Circles in circles 6:44 VII · One piece or dust? 8:37 Coda Narration: George - Warm, Captivating Storyteller (ElevenLabs eleven_multilingual_v2) Score: ElevenLabs Music The Order Beneath No.01 The Order Beneath is a series of films about mathematics. Each one takes a single field and shows the order and beauty inside it, in pictures computed live by code; the narration says only enough for you to follow what is happening on screen. You won’t need to learn anything to watch, but you’ll see things you hadn’t noticed before.