Forya | Physics Simulations
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Zeno's paradox: Achilles vs the tortoise 🐢 Achilles runs 10 m/s, the tortoise (a very fast one) 1 m/s, and she starts 100 m ahead. Every time he reaches the spot where she was, she has crawled a bit further: 100 m, 10 m, 1 m, 0.1 m … After 37 steps the gap is smaller than the Planck length – and infinitely many steps are still left. Yet all of them together take 10 + 1 + 0.1 + … = 11.111… seconds, and he passes her at 111.1 m. Does an infinite sum with a finite answer feel like a real solution to you? #zenosparadox #infinity #math #physics #simulation
Forya | Physics Simulations56,500 Aufrufe • vor 1 Tag
Hilbert curve – one line fills a square ✏️ A square with side 1 and one single line. Every order more than doubles its length: 1.5 → 3.75 → 7.875 → … → 511.998 at order 9 (length = 2ⁿ − 1/2ⁿ), but the area never changes. In the limit the line passes through every point of the square – David Hilbert found it in 1891. How many orders could you draw by hand? #hilbertcurve #spacefillingcurve #fractal #math #satisfying
Forya | Physics Simulations265,400 Aufrufe • vor 12 Tagen
Dragon curve – paper folding fractal 🐉 Fold a strip of paper in half 12 times, then open every fold to exactly 90°. You get 4,096 segments, and the strip never crosses itself. Four of these dragons around one point fit together with no gaps and no overlaps. Did you expect a dragon from a strip of paper? #dragoncurve #fractal #paperfolding #mathart #satisfying
Forya | Physics Simulations165,000 Aufrufe • vor 14 Tagen
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