3D Volumetric Function Modeler

Visualise complex 3D mathematical functions interactively — type a formula and explore the surface in real time.

What this tool does

Render volumetric 3D mathematical functions using WebGL. Type any f(x,y,z) expression and explore the resulting isosurface in the 3D viewer. Adjust the isovalue and resolution to reveal different surface features. Export as OBJ or GLB.

Who this is for

Maths and physics students studying 3D functions
University lecturers preparing visual demonstrations
Researchers visualising field equations or potential surfaces
3D artists exploring algorithmically-generated forms

How to use this tool

Enter a mathematical expression in x, y, z
Set the isovalue to define which surface level to render
Adjust resolution for quality vs. speed
Rotate and inspect the surface, then export

Inputs

Function f(x,y,z) — Any JS Math expression with variables x, y, z
Isovalue — The surface threshold value
Resolution — Marching cubes grid density

Outputs

OBJ — Import into Blender, Houdini, or Maya
GLB — Embed in web 3D viewers or AR experiences

Example use cases

Torus — Visualise the torus equation as an isosurface
Gyroid — Plot a gyroid minimal surface for 3D printing
Electric potential — Map a Coulomb potential field for a physics class
Implicit surface art — Explore complex implicit functions for generative art

Related tools

Frequently asked questions

▶ What's an isovalue?

It's the threshold level of the function at which the surface is drawn — like a contour line in 3D.

▶ How do I get a smoother surface?

Increase the resolution slider. Higher values give smoother surfaces but take longer to compute.

▶ Can I use custom functions?

Yes — any valid JavaScript Math expression with x, y, z works.

▶ Can I export for 3D printing?

Export OBJ and import into your slicer. The mesh may need repair for complex functions — use Meshmixer or Netfabb.

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Three.js 3D Volumetric Function Modeler

3D Function Modeler

Base Volume Properties

Deformation Preset

Volumetric Displacement Functions

Export