Mapping a 3D Point to a 2D Triangle

Given a point in 3D, the numbers
,
,
satisfy the triangle inequality and so can be the lengths of the sides of a 2D triangle.
The reverse is also true, but with more complicated formulas, as shown in the Details.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

Let
,
,
,
,
.
Then the triangle with sides , , corresponds to the 3D point with
,
,
.
    • 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.