This paper is available on arxiv(https://arxiv.org/abs/1404.5106) under CC BY 4.0 DEED license. The big hockey stick theorem is a special case of a general theorem ...

Abstract: The geometrical peculiarity of the line of mutual intersection of second-order surfaces and tetrahedron is considered, which is the essence of Chasles’ theorem. 3D models have been developed ...

My previous work dealt finding numbers which relatively prime to factorial value of certain number, high exponents and also find the way for finding mod values on certain number’s exponents. Firstly, ...

For this project, I studied the fractal patterns hidden in Pascal’s triangle. I wrote a computer program to make the plots of Pascal’s triangle modulo a number. When sufficiently many rows are plotted ...