Parametric Surface Graph: Ripple Disk
A circular ripple described naturally with radius and angle.
z = sin(sqrt(x^2 + y^2))Quick facts
- Formula: z = sin(sqrt(x^2 + y^2))
- Category: parametric
- Tags: parametric, surface, vector calculus
What this graph represents
The surface is easiest to understand through polar parameters.
Where it appears in calculus
Use it when moving from Cartesian to polar thinking.
How to use this graph
- Rotate the surface by dragging with your mouse or finger
- Use the Embed button to copy an
<iframe>for your LMS or lesson page - Click PNG to export a classroom-ready image
- Click Formula or LaTeX to copy the equation for your notes
Embed this graph
Use the Embed button in the calculator to copy a ready iframe for blogs, LMS pages, and lesson notes.
Open embed pageTeacher prompt
Question: Which parameter controls the rings?
Answer: The radius controls the rings because height depends on r.
Related graphs
Explore more parametric examples and compare shapes, 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.
Wave Sheet
z = sin(x) * cos(y)A parametric sheet whose height is a wave product.
Spherical Cap
z = sqrt(max(0, 16 - x^2 - y^2))A cap from a sphere parameterized by angles.
Spiral Ramp
z = atan(y / (x + 0.001)) + 0.2*sqrt(x^2 + y^2)A ramp that rises as it rotates.
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