3D Sine Wave Surface Graph
Two perpendicular sine waves combined into one surface.
z = sin(x) + sin(y)Quick facts
- Formula: z = sin(x) + sin(y)
- Category: surface
- Tags: surface, calculus, z=f(x,y)
What this graph represents
Peaks happen where both sine terms are high, and valleys happen where both are low.
Where it appears in calculus
It is a clean way to teach periodicity in two variables.
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 does the pattern repeat in both directions?
Answer: Both x and y are inside sine functions, so the graph is periodic along each axis.
Related graphs
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z = sin(sqrt(x^2 + y^2))Circular waves radiate outward from the center.
Damped Ripple
z = sin(x^2 + y^2) / (1 + x^2 + y^2)A ripple surface whose waves fade away from the origin.
Cone Surface
z = sqrt(x^2 + y^2)A circular cone rising from the origin.
Plane
z = 2*x - y + 1A flat plane with constant slope.
Tilted Wave Plane
z = 0.35*x + sin(y)A sloped plane with a wave running across it.
Sine Cosine Product
z = sin(x) * cos(y)A checkerboard-like wave surface.
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