Observers live "at rest" in spiral galaxy number 5 at the "bottom" of the 2D-universe, but actual universe has no edge or center. Data below result from measuring the last two frames (4 frames total) of the expanding universe after loading them into a Mathematica notebook (or into a copy of the notebook below (right click, Win; ctrl click, Mac)). Begin the Mathematica analysis by clicking on frame 3 to select it. Hold down the Command (Mac) or Alt (PC) key to show the coordinates of a galaxy, then click on the mouse to record a coordinate pair. In this manner select coordinates for a number of galaxies before entering the copy command. Paste all of the coordinates in a new cell. In the same manner, record coordinates for the same galaxies in the same order for frame 4.

Galaxy velocities are given by p2-p1 divided by 1 unit of time.

Distances to the galaxies are given by dis, as measured from galaxy 5 in the 4th frame.

Make ordered pairs from the distances and velocity magnitudes.