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Hyperbolic Paraboloid as Doubly Ruled Surface

CRcrkcity•Created May 28, 2025
Hyperbolic Paraboloid as Doubly Ruled Surface
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Instructions

Adjust # lines, color, size. Mouse adjusts rotation Straight lines shows it's a "ruled" surface. Lines go in both directions ("doubly" ruled), but curves in 3D space

Description

2D lines are straight, yet a make 3D curved surface I did a yet briefer version almost 2 years ago. It used less code, showed "ruled" surface but not "doubly ruled": https://scratch.mit.edu/projects/718360442/ but here I wanted to see how little code could make it "doubly ruled" (straight lines going in both directions). All done with xyz coordinates of -1 or 1 scaled up by size See my paraboloid in tetrahedron in cube to understand the underlying geometry Simple code

Project Details

Project ID1182077080
CreatedMay 28, 2025
Last ModifiedJune 4, 2025
SharedMay 29, 2025
Visibilityvisible
CommentsAllowed