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curve
Tip: Enter z = f(x,y) for surfaces, or x(t), y(t), z(t) for parametric curves. Use u,v for parametric surfaces.
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Trefoil Knot 3D Graph Calculator
Interactive 3D Curves Visualization
Explore the trefoil knot in 3D space. Free interactive parametric curve plotter. The simplest non-trivial knot in topology, essential for knot theory and mathematical visualization.
Mathematical expression: sin(t) + 2*sin(2*t), cos(t) - 2*cos(2*t), -sin(3*t)
Related 3D Graphs
All 3D Graph Presets
- Paraboloid — Upward-opening paraboloid
- Saddle — Hyperbolic paraboloid (saddle shape)
- Sine Surface — Product of sine and cosine
- Ripple — Circular ripple pattern
- Gaussian — Gaussian bell curve in 3D
- Wave Interference — Two perpendicular wave interference
- Mexican Hat — Ricker wavelet (Mexican hat function)
- Egg Carton — Egg carton surface pattern
- Monkey Saddle — A saddle with three dips
- Cone — Circular cone
- Helix — A standard helix spiraling upward
- Toroidal Spiral — Spiral wrapped around a torus
- Trefoil Knot — A trefoil knot in 3D
- Lissajous 3D — 3D Lissajous figure
- Viviani's Curve — Intersection of a sphere and cylinder
- Sphere — A sphere of radius 2
- Torus — A donut-shaped torus
- Möbius Strip — A one-sided Möbius band
- Klein Bottle — A non-orientable Klein bottle
- Helicoid — A ruled surface resembling a spiral staircase
- Intersecting Planes — Three intersecting planes at the origin
- Shell & Plane — Ripple surface clipped by a horizontal plane