Facebook Visualizes Global Friendships

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Paul Butler, an intern on Facebook’s data infrastructure engineering team, recently created this incredible social graph visualizing the Facebook connections around the globe.

Butler started out by using a sample of 10 million friend pairs, correlated them with their current cities and then mapped that data using the longitude and latitude of each city.

Butler explains the process and challenges he faced when creating the visualization in a
fascinating Facebook note stating:

“I began exploring it in R, an open-source statistics environment. As a sanity check, I plotted points at some of the latitude and longitude coordinates. To my relief, what I saw was roughly an outline of the world. Next I erased the dots and plotted lines between the points. After a few minutes of rendering, a big white blob appeared in the center of the map. Some of the outer edges of the blob vaguely resembled the continents, but it was clear that I had too much data to get interesting results just by drawing lines. I thought that making the lines semi-transparent would do the trick, but I quickly realized that my graphing environment couldn’t handle enough shades of color for it to work the way I wanted.

Instead I found a way to simulate the effect I wanted. I defined weights for each pair of cities as a function of the Euclidean distance between them and the number of friends between them. Then I plotted lines between the pairs by weight, so that pairs of cities with the most friendships between them were drawn on top of the others. I used a color ramp from black to blue to white, with each line’s color depending on its weight. I also transformed some of the lines to wrap around the image, rather than spanning more than halfway around the world.”

The visualization as expected shows a high concentration of usage in North America and Europe, while Russia and China remain almost invisible.

Via: Facebook

LauraScott