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A visual explanation of the brachistochrone

A two-dimensional animation compares descents on a line, circular arc and cycloid. Shared endpoints and timers distinguish distance from travel time.

VideoAI PromptClaude Opus 5.5

Reference prompt

An edited reference based on this example. Adapt it to your subject; the creator’s post is linked in the source panel.

Reference prompt
“Explain the brachistochrone problem with a two-dimensional animation. Between the same starting and ending points, simultaneously show balls descending along a straight line, a circular arc, and a cycloid. Use paths, timers, and brief annotations to explain the difference between the shortest distance and the shortest travel time.”

@Eray’la Yapay Zeka · Original post ↗

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