It's fairly straightforward and you don't have to understand the math concepts I've been talking about to participate. In the Skype chat I talked about these graphs that were implemented by this Marc Renault guy and how I had started to "connect the dots", not using any specific rule but in a way that just "feels right". So what I would like you guys to do is take a look at the picture in the link below, which is all the graphs for m = 2 through 15, and draw (via Paint, Illustrator, Photoshop, whatever) lines that connect them in a way that "feels right". Don't post them below; send them to me via PM and I'll collect all of them to compare. There are no right or wrong answers.
https://i.imgur.com/qBtvdbo.jpg
A few guidelines/things to point out:
1) Draw the first connections that come into your head; don't think about them any longer than that.
2) The graphs naturally repeat farther than the immediate grid; you'll notice that I repeated the 0 axes to give you a sense of how the patterns start to repeat in both a horizontal and vertical direction, so connect those dots (white circles) as well just to make the image more complete.
I'll demo with my version of #2: I will probably be making more videos on the Fibonacci series in the future and wouldn't be surprised if this project made it in there as well as part of a more in-depth discussion about the connection between math and psychology, so if you participate you'll probably have your work shown in a future video

Remember, don't post your results here!