3D Line
3D line plots for visualizing trajectories, spirals, helixes, and parametric curves in three-dimensional space.
20 examples
Plasma Vortex Funnel
A descending vortex funnel with exponentially decreasing radius, rendered with fire/plasma colors.
Damped 3D Harmonic Oscillator
A damped 3D harmonic oscillator showing energy decay over time with different x and y frequencies.
Toroidal Helix
A helix wound around a torus (donut) surface, creating a complex interweaving pattern in electric blue.
Cinquefoil Knot
The cinquefoil knot (5₁), a prime knot with crossing number 5, rendered in pink tones on light background.
Viviani's Curve
Viviani's curve - the intersection of a sphere and a cylinder passing through its center, in neon green.
Double Cone Helix (Hourglass)
A helix wrapping around a double cone creating an hourglass shape, in teal/mint colors.
Three-Phase Helical Waves
Three phase-shifted helical waves showing 120° phase separation, like three-phase electrical systems.
Twisted Ribbon Helix
A twisted ribbon following a helical path, showing the edges and surface connections in red tones.
Nautilus Shell Spiral
A logarithmic spiral inspired by nautilus shells, with golden amber tones on dark background.
Slinky Wave Motion
A slinky-like spiral with traveling wave motion, demonstrating mechanical wave propagation in purple.
Chaotic Butterfly Curve
A chaotic butterfly-like parametric curve inspired by strange attractors, with cool color gradient.
Variable Compression Spring
A 3D spring coil with variable compression showing realistic mechanical behavior, on a light background.
Torus Knot (5,2)
A (5,2) torus knot - a curve that winds 5 times around a torus while going through the hole 2 times, in magenta.
3D Lissajous Curve
A 3D Lissajous figure with frequency ratio 3:4:5, showing complex harmonic motion on a light background.
Spherical Helix
A helix curve constrained to the surface of a sphere, creating a beautiful 3D pattern in cyan.
Trefoil Knot - Mathematical Curve
The famous trefoil knot, a closed mathematical curve that cannot be untangled without cutting, rendered with the neon color palette.
Conical Helix Trajectory
A 3D spiral wrapping around a cone shape, showing a decreasing radius trajectory in warm amber and orange tones.
Multi-Frequency Parametric Helix
A complex 3D helix created by combining multiple frequencies, showing interference patterns in purple tones.
Expanding Spiral Galaxy Arm
A 3D expanding spiral resembling a galaxy arm with a green to cyan color gradient.
DNA Double Helix Structure
A 3D visualization of DNA double helix structure with two intertwined strands in cyan and magenta, connected by base pairs.