Saturday, September 19, 2015

For a pic...

3-sphere
In mathematics, a 3-sphere (also called a glome) is a higher-dimensional analogue of a sphere. It consists of the set of points equidistant from a fixed central point in 4-dimensional Euclidean space. Just as an ordinary sphere (or 2-sphere) is a two-dimensional surfacethat forms the boundary of a ball in three dimensions, a 3-sphere is an object with three dimensions that forms the boundary of a ball in four dimensions. A 3-sphere is an example of a 3-manifold.

The images at the link, visualize the notion of nested spheres. More importantly they point to the maths needed to create those kinds of pictures and link them to nemetic code.  Once we settle on the maths, someone can engineer the programs for a visualization management tool for learning environments.