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Animated Lissajous Ruled Surfaces

CRcrkcity•Created July 21, 2023
Animated Lissajous Ruled Surfaces
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Instructions

Try changing stick angle to twist object, rotate ends, change color, number of sticks. See what you like. Auto-changes ratio to transform end figures: Ratio 1: a stick cylinder you can twist to a hyperboloid. Ratio > 1: Lissajous figures connected with sticks. All these "ruled" surfaces can be covered with sticks.

Description

Simulated with sine and cosine, ratio of > 1 (or < 1) creates Lissajous shapes (whole number ratios connect the loops, so look the best I think) Ratio of 1 is just a circle and results in a cylinder when stick angle = 0. Twist cylinder into a hyperboloid by increasing angle.

Project Details

Project ID876438800
CreatedJuly 21, 2023
Last ModifiedJuly 31, 2023
SharedJuly 30, 2023
Visibilityvisible
CommentsAllowed