3DXM Space Curve Gallery

Classic Space Curves

helix tube frenet 024
helix
lissajous2 5 13 knot 024
lissajous space curve

Knots

torus knot
torus knot

genus 2 knot
cinquefoil rotate x 024
Cinquefoil knot
trefoil knot strip 006
Trefoil knot
figure8 harmonic
Figure 8 Knot
grannyknot tube rot 012
Granny Knot
square knot z axis.jpg 001
Square Knot
prime knots 5 4 3 036
Prime Knot

Curves on Sphere


loxodrome

Intersection of Two Cylinders

The Viviani Curve
spherical ellipse thick
Spherical Ellipse
spherical cycloid rolli 001
Spherical Cycloid
Spherical Lemniscate 001
Spherical Lemniscate

Differential Geometry

constant curvature
constant curvature curve
constant torsion sym3
constant torsion curve

About Space Curves

Space_Curves.pdf

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We gratefully acknowledge support for the development of the 3D-XplorMath program and this website by The National Science Foundation through a CCLI Grant (DUE Award # 0514781).