**Research**

### History of Geometry

*by Jacob Paltrowitz*| April 2021

Explore the world of non-Euclidean Geometries. Learn about their foundation and how they came to be!

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### Bucky Balls

*by Theo Schiminovich*| March 2021

I define spherical fullerenes. Then, I bring up a problem about them that is currently unsolved, show how it can be reworded into an easier-to-solve form, and list some strategies which could be used to solve it.

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### Friends Problem

*by Declan Stacy*| Feb 2021

A presentation of a solution and generalization of the friends problem through the use of random variables, probability distributions, and expectation.

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### Base Rules

*by Theo Schiminovich*| June 2020

Comparing the divisibility rules for different bases, and determining which ones would be easiest to use as a replacement for base 10.

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### Euler's Formula

*by Maxwell Zen*| June 2020

A proof of Euler's Formula, stating that V - E + F=2 on planar graphs. Then, an application to prove that there are only 5 Platonic solids and only 13 Archimedean solids.

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### The History of Pi

*by Jacob Paltrowitz*| June 2020

A brief history on the different approximations of math's most famous constant.

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