parametric example
Parametric Surface Graph: Wave Sheet
A parametric sheet whose height is a wave product.
z = sin(x) * cos(y)Teacher prompt
Why is this also parametric?
You can set x=u, y=v, and z=f(u,v).
min z 0.00max z 0.0060 samples
What this graph represents
This is both a standard function graph and a simple parametric surface.
Where it appears in calculus
Good for showing that z=f(x,y) graphs are a special case of parametric surfaces.
Embed this graph
Use the Embed button in the calculator to copy a ready iframe for blogs, LMS pages, and lesson notes.
Open embed pageRelated graphs
Open another surface page and compare shape, slices, and contour behavior.
Torus
z = sin(sqrt(x^2 + y^2))A donut-shaped parametric surface used in geometry and visualization.
Mobius Strip
z = atan(y / (x + 0.001))A one-sided strip with a half twist.
Helicoid
z = atan(y / (x + 0.001)) + 0.15*sqrt(x^2 + y^2)A screw-like minimal surface.
Ripple Disk
z = sin(sqrt(x^2 + y^2))A circular ripple described naturally with radius and angle.