surface example
3D Checkerboard Surface Graph
A stepped checkerboard made from quantized waves.
z = floor(abs(sin(x) * sin(y)) * 4) / 4Teacher prompt
Why are there flat steps?
The floor function groups nearby heights into fixed levels.
min z 0.00max z 0.0056 samples
What this graph represents
The floor function turns smooth variation into flat levels.
Where it appears in calculus
It is useful for showing discontinuities and quantization.
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Open embed pageRelated graphs
Open another surface page and compare shape, slices, and contour behavior.
Saddle Surface
z = x^2 - y^2A saddle surface curves up in one direction and down in the perpendicular direction.
Gaussian Surface
z = exp(-(x^2 + y^2))A smooth bell-shaped surface centered at the origin.
Elliptic Paraboloid
z = x^2 + y^2A bowl-shaped surface that opens upward.
Inverted Paraboloid
z = 12 - x^2 - y^2A dome-shaped surface with a highest point at the center.