If you have a 2d display lets say a (100×100) pixels and you wanted to graph a 3d point(10, 10, 10). Where would it go? How would the 2d (x,y) be formed from the (x,y,z) value?

Question

If you have a 2d display lets say a (100×100) pixels and you wanted to graph a 3d point(10, 10, 10). Where would it go? How would the 2d (x,y) be formed from the (x,y,z) value?

In: Mathematics

Answer 1

The simplest answer is to truncate; you ignore the z value completely and draw it as if everything is on a flat plane.

This loses information – you cannot definitely say the position of the object, as that information has been lost. There is no lossless way to map 3 dimensions onto 2*dimensions. Solutions like adding color actually add a dimension in the process.