Geometry Everywhere
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Vessel forming on a potter's wheel

Solids of Revolution and Cross-Sections

The wheel turns and the potter's hand stays put. In that moment the hand decides exactly one thing: how far the clay will sit from the axis. That single run of decisions, taken height by height, locks the entire three-dimensional form. No other information can get in — there is nowhere for it to go.

potter's wheel — the wheel turns, the hand holds stillevery particle at one height passes under the handhand fixedevery ring is a circlethe wheel turns

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