When our daughter-in-law made wheat shocks as center-pieces for hers and our son’s fall-themed wedding reception, I naturally could not help pointing out the age-old observation that they represented a hyperboloid of one sheet. This was naturally greeted with the usual groans, but the thought stayed with me as I realized I had never proved this mathematically to myself. And so I did.
See the Hyperboloid as Ruled Surface.
(Updates 10/9/2020, 9/19/2022) Spinning Rod Demo, Spinning Umbrella
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