3D Damped Ripple Surface Graph
A ripple surface whose waves fade away from the origin.
z = sin(x^2 + y^2) / (1 + x^2 + y^2)Quick facts
- Formula: z = sin(x^2 + y^2) / (1 + x^2 + y^2)
- Category: surface
- Tags: surface, calculus, z=f(x,y)
What this graph represents
The denominator grows with distance and reduces the height of far-away oscillations.
Where it appears in calculus
Use it to show bounded oscillation and damping.
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: Why do the ripples get smaller?
Answer: The denominator grows as x and y move away from 0, shrinking the output.
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