Explore the world of non-Euclidean Geometries. Learn about their foundation and how they came to be!
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.
A presentation of a solution and generalization of the friends problem through the use of random variables, probability distributions, and expectation.
Comparing the divisibility rules for different bases, and determining which ones would be easiest to use as a replacement for base 10.
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.
A brief history on the different approximations of math's most famous constant.