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1st electrostatics
2nd capacitance etc..

x²/a² + y²/a² − z²/c² = 1

A quadratic written for its own symmetry becomes the exact profile of a chimney that must rise more than a hundred metres yet stay only centimetres thick. The equation hands the builder two families of straight generators, so a doubly curved shell can be formed with unbent timber or steel; the same formula then predicts how negative curvature will carry wind and self-weight as a pure membrane, and how the waist will accelerate the rising air.

Without that single relation the tower would demand far more concrete or hidden bracing. With it, geometry itself supplies both the strength and the draft. Van Iterson’s first concrete hyperboloid, poured in 1918, still stands as the proof that an abstract surface can be made to work.

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Remembering Sir M Visvesvaraya on #EngineersDay.

The former Diwan of Mysore served on the IISc Council and pushed for the state to support the Institute. He also encouraged strong links between IISc and industry.

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