Explicit surface
z = f(x, y)
3D graphing tool
3D Surface Plotter
Plot and explore 3D surfaces interactively from equations in the form z = f(x, y).
Calculator
Enter a surface equation
Use x and y as variables. Common functions include sin, cos, tan, log, sqrt, abs, and exp.
Result
About this tool
How it works
The EngLab 3D Surface Plotter renders a surface from an explicit equation z = f(x, y). It is useful for visual checks, mathematical exploration, teaching examples, and communicating how a function behaves across two input variables.
Formulas
Surface form used
Default mesh
x and y sampled across the selected ranges
Worked example
Example inputs
Try sin(x)*cos(y), x^2 - y^2, exp(-0.1*(x^2 + y^2)), or sqrt(x^2 + y^2).
Guide
How to use this calculator
- Enter an equation using x and y as variables.
- Choose the x and y ranges to control the plotted domain.
- Click Plot Surface, then rotate, zoom, pan, or download the chart as a PNG.
Reference
What the results mean
x and y ranges
The independent-variable domain used to build the surface mesh.
z value
The calculated output height for each x-y pair.
Surface trace
A 3D Plotly surface generated from the computed grid.
Assumptions and limits
Before using the chart
- The tool evaluates explicit surfaces in the form z = f(x, y).
- Very large ranges or steep discontinuities can make the rendered surface harder to interpret.
- Use the plot for visualization and checking; verify final mathematical or engineering conclusions separately.
FAQ
3D Surface Plotter questions
Which functions are supported?
Common JavaScript math functions are supported using short names such as sin, cos, tan, log, sqrt, abs, and exp.
Can I change the plot range?
Yes. Set the minimum and maximum x and y values before plotting.
Can I export the 3D graph?
Yes. Use Download PNG to export the current chart view.
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