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hyperboloid as twisted cylinder

CRcrkcity•Created July 18, 2023
hyperboloid as twisted cylinder
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Instructions

Change "stick angle" to twist the right ring, twisting the cylinder of sticks into a hyperboloid. "Rotate cylinder" horizontally. Uses minimal code. Sine and cosine for two circles connected by sticks at "stick angle."

Description

Twisting a ring puts sticks into an angle, forming a circular hyperboloid (or "rotational paraboloid"). The range of shapes, from cylinder to fully twisted, all are made of straight sticks, all "ruled surfaces." See also my hyperbolic paraboloid, another "ruled surface" for our course on parabolas and paraboloids.

Project Details

Project ID875670522
CreatedJuly 18, 2023
Last ModifiedJuly 21, 2023
SharedJuly 18, 2023
Visibilityvisible
CommentsAllowed