User:Negativebplusorminus
A AoPS member, National MathCounts qualifier, and USAJMO qualifier.
Contents
Contest Results
MathCounts
In 2011, as a 7th grader, I qualified for the State Countdown Round. In 2012, as an 8th grader, I qualified for National MathCounts.
In the National competition, I scored in the top 56.
AMCs
2012: 117 on AMC 10A, 127.5 on AMC 10B, 8 on AIME, 207.5 index for USAJMO. The cutoff was a 204.5, so I qualified for the USAJMO. However, I only got a 5 on the USAJMO. That thing is hard.
negativebplusorminus
My username is from the quadratic formula, which states that the roots of the equation are
which, when read aloud, is "negativebplusorminus..."
Equations for the Roots of the Complex
I derived that equation myself, and I am quite proud of it. I have a similar one for the fourth roots of
which can be derived from inputting that equation into itself. I have also found various roots of unity in their radical forms during my spare time.
Spirographs
I have created a great number of spirographs, each interesting and unique. More can be found on my AoPS blog (but you might have to look through a few pages of other stuff, too). To view the entire collection, please visit negativebplusorminus.blogspot.com, but again, you might have to scroll down a bit. Here are some samples:
Inspirographs
Another amazing creation of mine. More can be found here (but you might have to look through a few pages of other stuff, too). To view the entire collection, please visit negativebplusorminus.blogspot.com in the near future (the site will be updated soon). Below are a few samples. <asy2> import graph3; import grid3; import palette; size(400,300,IgnoreAspect); defaultrender.merge=true; real f(pair z) {return sin(z.y)*(z.x^2+1)^(0.1*log(z.y^2+1));} surface s=surface(f,(-30,-30),(30,30),70,Spline); s.colors(palette(s.map(zpart),Rainbow())); draw(s,render(compression=Low,merge=true)); grid3(XYZgrid);</asy2> <asy2> import graph3; import grid3; import palette;currentprojection=orthographic(1,5,0.2); size(400,300,IgnoreAspect); defaultrender.merge=true; real f(pair z) {return sin(z.x^2+z.y^2);} surface s=surface(f,(-2.95,-2.95),(2.95,2.95),70,Spline); s.colors(palette(s.map(zpart),Rainbow())); draw(s,render(compression=Low,merge=true)); grid3(XYZgrid);</asy2>