Curate, connect, and discover
I just finished Brandon Sanderson's The Rithmatist. Now, any time I read a fantasy novel with an interesting magic system, I imagine what it would be like to have said magic (don't we all?). This magic system seems particularly well suited to me - it calls out to both my math and artistic sides. I think I could make a rather good rithmatist. The freaking 9 point circle is an important part of the magic system. I can't even.
I bet that the 6 point defenses don't actually require that the 6 points be equally spaced. I bet they could actually be anywhere as long as you build the rest of the defense properly. The Mystic Hexagon theorem has got to be relevant to this magic system. I bet you can even use the Mystic Hexagon theorem to build 8 point defenses where the extra two points come from the line dictated by the Mystic Hexagon. And when that line doesn't intersect the circle, it would be a natural (possibly required) place to put a Line of Forbiddance. There will probably be rithmatic drawings showing up here...
Also, my math notes often have non-math doodles in them. <3 chalklings
Melody and Joel are fantastic. I like them a lot. There are things I need to process before you get more about them though.