A shape with FINITE volume but INFINITE surface area. How is that possible?
Автор: DailyMathVisuals
Загружено: 2026-01-12
Просмотров: 207
Описание:
Gabriel's Horn is formed by rotating y = 1/x around the x-axis. The math proves something impossible-sounding:
• Volume = π (finite!)
• Surface Area = ∞ (infinite!)
This means you could fill it with paint... but never paint the outside.
Timestamps:
0:00 - Introduction
0:07 - The Curve y = 1/x
0:28 - Building the Horn
0:50 - Flying Inside
1:09 - Volume Derivation (= π)
2:08 - Surface Area Derivation (= ∞)
3:01 - The Painter's Paradox
3:26 - Final Visualization
Checkout: https://dailymathvisuals.lemonsqueezy...
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#mathematics #calculus #paradox #gabrielshorn #infinity #area #volume
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