3DXM Space Curve Gallery

Classic Space Curves

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

Intersection of Two Cylinders

Knots

torus knot 7 3
torus knot
genus2 knot 0colorchoice
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 tube 001 s265x236
loxodrome
viviani 2tube 008-s274x229
Viviani Curve
spherical ellipse const 001 s265x236
Spherical Ellipse
spherical cycloid const 006-s264x237
Spherical Cycloid
spherical lemniscate co 001 s258x243
Spherical Lemniscate

Differential Geometry

constant curvature 8knot11
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).