Geometry Puzzler

For the love of puzzlers, try your hand at the following math problem:

You are given four 2-dimensional co-ordinates in a random order. What is the simplest method to draw the enclosing polygon created by joining the points?
Answers should be written in C-like syntax or pseudo code, without library dependencies, and should not include any visual methods. You can simply return an array of co-ordinates that, when followed in order, will draw the proper polygon.

For example:

function polygon(p1, p2, p3, p4) {
}

polygon( [x₁,y₁] , [x₂,y₂] , [x₃,y₃] , [x₄,y₄] );


The winning entry will be used in a 3D game released for amoebaOS, and will be credited within the game for their contribution!




Good luck and have fun!