A biographical look at the life and mathematics of Frank Harary, the Founding Father of Graph Theory.

We implement the Voronoi Diagram algorithm into Pygame so that it updates its Voronoi Cells as we add defining points.

We implement an Auto-Palette-Simplification algorithm, A Voronoi Cell algorithm, and A Color Sieve algorithm on images in OpenCV-Python.

We discuss the importance of (Im)Mutable Objects in Python and implement an algorithm we call Palette-Simplification of images using OpenCV.

We make a few Image Processing algorithms with OpenCV: Pixelate, Cutoffs, Brighten/Darken, Blending, RGB channels, and Recursive Algorithms.

We use OpenCV-Python on Knot Diagrams to learn about Image Processing, adding blur and various coloring algorithms to the knot diagrams.

We add a lot of functionality to the GUI - Adding/Removing vertices and edges, returning graph info, and returning some graph matrices.

We add some preset graphs and matrices to our Graph Class in Python and implement an "add_vertex" button with user-typed input in the GUI.

We create a Graph Class in Python to work with mathematical graphs. Then we create an interactive display using Pygame to visualize them.

We implement methods to work with maximal chains into our Poset class in Python and get majorly distracted by Critical Groups of Graphs!

We implement the Depth-First Search algorithm in Python to retrieve the set of maximal chains of the Poset class we created in the last post

This is an exploration of Dunder Methods and how they can be used to create abstract posets like the divisibility or p-adic posets in Python

Imagine this. You have a terribly strong desire to learn as much math as you can. You know that people do research in math, whatever that...

Circles in rectangular coordinates...Rectangles in polar coordinates? This is a bit of a goofy one. Why? Well, I want to figure out...

What is the integral of cscθ? Usually this is done by telling you to multiply by blah/blah where blah is some expression that comes...

An Intro to Catan Who else here used to play Settlers of Catan as a kid? The first memory I have with the game is happily placing roads...

What do the differential equations mean? Usually, we are motivated to study differential equations by situations in everyday life,...

Let us count The nice thing about the arithmetic derivative is that it takes a natural number to another natural number. This leads to...

Our first pattern So we've taken the usual rules for differentiation and applied them to natural numbers: D(ab) = aD(b) + D(a)b with...

An introduction If you've done calculus, then you've talked about differentiation. We usually talk about this in terms of "linear...