Stereographic Projection of a 3-Sphere

A four-dimensional hypersphere of radius and center has equation . The unit 3-sphere is the four-dimensional hypersphere of radius and center . This Demonstration lets you rotate the unit 3-sphere around its six directional planes (-, -, -, -, -, -), showing the stereographic projection of its parallels, meridians, and hypermeridians in three-dimensional space. Although the circles seen in 3D seem to intersect themselves when the hypersphere is rotated, in 4D, the 3-sphere does not self-intersect.
  • Contributed by: John Na
  • (Mathematica Summer Camp 2014)

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.