Simple Inequalities in the Unit Cube

Permute the triple , , in all six possible ways and form the six corresponding inequalities , , etc. Plot these relations in 3D with to split the unit cube into six congruent right-angled tetrahedra (called "orthoschemes").
In 2D there are two right-angled triangles, corresponding to and ; in 4D there are 24 simplices corresponding to , etc.

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.