User Guide

Visualization Tutorials

Visualization in Atlas package allows visualize n-dimensional differential geometry objects. The following differential geometry objects can be visualized:
- n-dimentional coordinate systems
- curves in n-dimentional manifolds
- m-dimentional submanifolds in n-dimentional manifolds

The Visualize function splits visual space and parameters space in 1,2 or 3-dimensional subspaces to visualize an n-dimensional object.

The function automatically selects appropriate native Mathematica plot function to visualize an object. Moreover the function can automatically choose bounds for visualization and manipulate parameters. And even more, the function automatically splits the visualized object parameters into 2 or 3 dimensional sections and make appropriate projectors on 1, 2 or 3 dimentional subspaces of the visualization.