Polygonal Knot Splines
by Dan Bach
Title
Polygonal Knot Splines
Artist
Dan Bach
Medium
Digital Art - Inkjet Print On Canvas
Description
When is a space curve or a series of line segments knotted? When it can't be reduced to a band without cutting or passing through itself, that's when!
Several “trefoil knots” are shown here. The main blue tube contains a polygonal knot. We see a cubical lattice knot and its B-spline curves (bottom), knots wrapped around a triangular torus polyhedron (upper left), and polygonal knots with various segments (upper right).
At the lower left is the simplest polygonal trefoil knot, with stick number six. The image shows the spline curve may or may not be knotted!
Uploaded
March 14th, 2023
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