3D Math Visualizer

Overview

The 3D Math Visualizer is a standalone JavaScript tool designed to render and interact with 3D mathematical objects using A-Frame. It supports visualizing vectors, explicit surfaces, parametric surfaces, and implicit surfaces in real-time, making it ideal for educational and exploratory purposes.

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Key Features

Vector Visualization

• Add 3D vectors with customizable components and colors.
• Proper alignment using quaternion-based rotation.

Explicit Surfaces

• Render surfaces defined by z = f(x, y) with adjustable range, resolution, and color.

Parametric Surfaces

• Define surfaces using parametric equations x(u, v), y(u, v), z(u, v) with customizable parameter ranges.

Implicit Surfaces

• Render surfaces defined by f(x, y, z) = 0 using:
  • Parametric conversion, or
  • The Marching Cubes algorithm (for unsupported functions).

Grid and Axes

• 3D gridlines in XY, YZ, and ZX planes for spatial reference.
• Always-visible X, Y, Z axes with labeled markers.

Camera Controls

• Orbit, zoom, and pan controls with reset functionality.

Math Expression Evaluation

• Uses Math.js for evaluating mathematical expressions.
• Supports advanced functions and constants.

Object Management

• Add, remove, and clear objects programmatically.

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Motivation

The project aims to make abstract mathematical concepts tangible by providing an interactive 3D environment. It is designed for educators, students, and enthusiasts to explore and visualize mathematical operations and surfaces intuitively.

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Summary

The 3D Math Visualizer combines A-Frame for rendering and Math.js for computation, offering a robust platform for 3D mathematical visualization. It is a versatile tool for education, experimentation, and exploration of mathematical concepts.