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How hard is it to draw a perfect circle? In front of you? It's hard. Then how hard is it to draw a perfect circle around the entire body? Harder. This is exactly what you need to do in order to be a decent Rithmatist. The youth of the United Isles are constantly learning how to do this, and they say practice makes perfect. The thing is though is that the students don't pay attention. Much like a normal high school students they don't care enough to actually learn the material. How do they actually do it? Are the people of the United Isles, evolved differently than that of the normal Humans on our earth? This could be the case as there are many Rithmatists who are able to do this with speed and exceptionally good accuracy.. Much like we do in a videogame. We practice very hard to be able to play videogames, to sight, reload, move, macro, micro, heal up, speed up and snipe. And all of this in a matter of seconds. The neural pathways allow us to do this. This is most likely how they are able to do this. But much like we are not perfect no matter how many times we play the video games, they cannot possibly be able to make a perfect circle well before their prime, and after it as well. Fingers grow old and slow and they fall with the times. Not to mention how at the tower the wild chalklings somehow are able to sense the weaknesses of a circle. Making you vulnerable. How do they do it? How are they able to draw circles with speed, and aim for impeccable accuracy? Let me know in the comments what you think and how I can improve. Thanks, and good Worldhopping!

I had an idea today mostly based off my theory on triangles, This is a prerequisite(well not really but for this theory to make sense you must believe in The power of triangles). So looking at the way the bind points overlap on the various types of triangles 4,6,and 9(two is excluded do to some bind point issues). so on a 4 point circle three points overlap on one corner and two on the rest. for six pointers it is two,one , two , one, two,one. and nine only one point on each position. so now with the appropriate background out of the way here is the theroy. The more bind points over lap the stronger they become. now one might be wondering how i am rating the strength of every bind point So in one of the illustrations It is noted that a chalking bound to a bind point is stronger than one that is not. My rating for the strength of bind points is how much strength is added onto the chalkilings strength. and potentially with further evidence as to weather it is a multiplier or additional number. So three is stronger than two is stronger than one is stronger than none. SO Comments thoughts questions, additional bits and pieces, proofs, disproofs, ectera, ectera.

Spoilers Basic theory is that every bind point set is represented by a Triangles. These are the reference images (note i made these images) http://www.weebly.com/uploads/1/4/9/0/14907026/1369915093.png 9 pointer http://rithmantics.weebly.com/uploads/1/4/9/0/14907026/6701685_orig.png 6 pointer http://rithmantics.weebly.com/uploads/1/4/9/0/14907026/4716856_orig.png 4 pointer Edit: An important assumption is that two point circles are just incomplete six or four pointed circles, Edit:Two point circles can be made by (0,180,0) triangles. credited to happyman First lets look at a four pointer, a square can be made by drawing a circle through any triangle, my example is a 45/45/90 because it is easy to find the circle. A six pointer can be made by using the altitudes of an equilateral triangle and the mid points. The nine pointer is were this theory comes from. the nine point definotion, which is , the nine point circle is drawn on an acute triangle, the points on the nine point circle are determined by three things, the mid point of each side, the intersection of the altitude of each side and the side, and the intersection of the resulting circle and the altitude. All of these circles an be made by placing them on a triangle and marking the bind points. This also explains why there are no five point, seven point or eight point circles. because the bind points can not be covered by any triangle. i assume that if you want a three point you can just make a six point using every other bind point.

This is a question mostly about symmetry. So first off all of the lines we have confirmed,aside from the nine point circle and lines of making, are symmetrical in some way, lines of vigor and revocation, use shifting symmetry. The circle aside from nine point have both rotational and reflective symmetry. the line of silencing has rotational symmetry. Even ellipse have reflective symmetry. This feels important but I can not figure out how and it is irritating me. Thoughts and theories please.

So random thought I had while working on ellipses, they are stronger where the ellipse curves more than a circle and weak where they curve less than a circle, now noting this I realized that the curvature of a circle is relative,a circle can always have a tighter curve if it is drawn smaller. So based off this I have a theory that the larger a circle is the weaker it is. This being because of the larger a circle the less it curves. So smaller circles should be stronger based off of this reasoning. this continued to lead me to a further question. "What about Nebrask that has a massive circle and yet contains hoards of wild chalklings." Theories as to why the Circle of Nebrask is strong enough to contain a constant onslaught please.(assuming of course you agree with my theory.) otherwise thoughts and/or criticisms of the initial theory about circle strength. Also personal belief as to why this is never brought up, all of the circles we see are roughly the same size, Nebrask is faraway, and, evidently, "classified". Edit: additional thought the wider the ark the closer it is to a line of forbiddance this could theoretically give it some strength if the person got the intent right.