## Bresenham’s line drawing algorithm in any number of dimensions

Friday, July 22nd, 2011

**edit:** I should have called this “an algorithm that produces the same output as Bresenham’s algorithm, generalised to arbitrary dimensions” (see discussion below)

J.E. Bresenham published an algorithm in 1965, which is used to draw 2D digital lines. Many people have extended the algorithm to work in 3D, and I’ve even found a website with code for 4D, 5D and 6D versions of the algorithm. However, all the code I come across is way more complex that it needs to be, giving the impression that this is a complicated algorithm. Nothing is further from the truth! Drawing digital lines is the most simple and straight-forward task. I’m going to deviate from the classical thinking that an efficient algorithm should use only integer values. This will make our task trivial.