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A friendly fiddler crab demonstrates the non-orientability of the Real Projective Plane.

About Htasoff

Hello. I am a Swarthmore student, and probable Math and/ or Physics major, of the class of 2014. I am from Southern California and have hobbies that include: fencing, bonsai, Mineralogy, Biology, 2 and 3 D art. My interested in Mathematics fully came to light during my Precalculus class in high school, where my teacher wove his own curriculum, introducing the class to advanced topics and illustrating how all of mathematics connects, often, awe-inspiringly simple ways, and is ubiquitous throughout the universe, from economics to ecology, demographics to quantum physics.

I believe that, although a technical understanding is important for people who plan to follow a field of study, often a conceptual comprehension is more helpful to the casually interested person. Furthermore, many lofty ideas can be understood with only a good explanation and a change of perspective.

I hope you find the topics I have written about as fascinating as I do, and did, while I was researching them myself.


  • Dinosaur A first-day page made to familiarize myself with page building.


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You can increase a the radius of a polygon by 1 unit by adding 2π units to its perimeter, so long as it is convex.


Projective hemisphere.jpg Crab.jpg Crab2.jpg

\tfrac{c_1}{\sin \theta_3}

H = 1/2 (3/2)^{(2/3)} L^{(2/3)} R^(1/3) + 9 (3/2)^(1/3)/(80 R^(1/3)) L^(4/3)


\frac{1}{2} \left ( \frac{3}{2} \right )^{\left ( \frac{2}{3} \right )} L^{ \left ( \frac{2}{3} \right )}R^{ \left ( \frac{1}{3} \right )}

\frac{1}{2} \left ( \frac{3}{2} \right )^{\left ( \frac{2}{3} \right )} L^{ \left ( \frac{2}{3} \right )} R^{ \left ( \frac{1}{3} \right )} + \cfrac {9 \left ( \frac{3}{2} \right )^{\left ( \frac{1}{3} \right )}}{80 R^{  \left (\frac{1}{3} \right )} L^{\left ( \frac{4}{3} \right )}}

h \left (\mathit{l} \right )= \frac{1}{2} \left ( \frac{3}{2} \right )^{\left ( \frac{2}{3} \right )} \mathit{l}^{ \left ( \frac{2}{3} \right )} R^{ \left ( \frac{1}{3} \right )} + \cfrac {9 \left ( \frac{3}{2} \right )^{\left ( \frac{1}{3} \right )}}{80 R^{  \left (\frac{1}{3} \right )}}\  \mathit{l}^{\left ( \frac{4}{3} \right )}