@seleniumed: Gabriel's Horn is one of the wildest paradoxes in mathematics. Take the curve y = 1/x from x = 1 to infinity, and rotate it around the x-axis. You get a shape that stretches out forever - an infinitely long trumpet. Here is the crazy part: this shape has a finite volume but an infinite surface area. You could fill it with paint, but you could never paint its surface. How does that even make sense? The math behind it comes down to improper integrals. When you compute the volume using the disk method, the integral of pi/x^2 from 1 to infinity converges to pi. But when you compute the surface area, the integral diverges - it blows up to infinity. This is possible because as x gets larger, the horn gets incredibly thin. The cross-sectional area shrinks fast enough that the total volume stays finite, but the surface just keeps accumulating because the horn never actually closes off. Discovered by Evangelista Torricelli in 1641, this paradox challenged mathematicians for centuries and helped shape our understanding of infinity and convergence. Follow @seleniumed for more physics and math explained visually. #tiktok #viral #mathematics #calculus #infinity

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Tuesday 30 June 2026 10:25:36 GMT