Graph Theory Ã la Frank Harary

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

top of page

Jonathan

- Sep 14

Graph Theory Ã la Frank Harary

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

65 views0 comments

Jonathan

- Jul 5

Interactive Voronoi Diagram Maker in Pygame

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

50 views0 comments

Jonathan

- Jul 2

Image Processing Algorithms with OpenCV 3

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

26 views0 comments

Jonathan

- Jul 1

Image Processing Algorithms with OpenCV 2

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

22 views0 comments

Jonathan

- Jun 29

Image Processing Algorithms with OpenCV

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

28 views0 comments

Jonathan

- Jun 28

Knot Diagram Image Processing with OpenCV

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

12 views0 comments

Jonathan

- Jun 26

Making a Graph Class in Python 3 - More GUI

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

21 views0 comments

Jonathan

- Jun 26

Making a Graph Class in Python 2 - GUI

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.

59 views0 comments

Jonathan

- Jun 25

Making a Graph Class in Python

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

18 views0 comments

Jonathan

- Jun 22

Posets and Python 3 - Critical Group Diversion

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

18 views0 comments

Jonathan

- Jun 12

Posets and Python 2 - Depth-First Search

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

26 views0 comments

Jonathan

- Jun 5

Posets and Python

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

49 views0 comments

Jonathan

- Nov 21, 2021

Fun with the Dot Product (Math = Patterns)

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...

29 views0 comments

Jonathan

- Nov 15, 2021

Rectangles in Polar Coordinates

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

34 views0 comments

Jonathan

- Nov 15, 2021

The Integral of Csc(Î¸)

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

28 views0 comments

Jonathan

- Nov 5, 2021

Learning Pygame with Catan (Part 1)

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...

245 views0 comments

Jonathan

- Oct 17, 2021

The Arithmetic Derivative (Part 4)

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

25 views0 comments

Jonathan

- Oct 13, 2021

The Arithmetic Derivative (Part 3)

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

15 views0 comments

Jonathan

- Oct 12, 2021

The Arithmetic Derivative (Part 2)

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...

53 views0 comments

Jonathan

- Oct 9, 2021

The Arithmetic Derivative (Part 1)

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

40 views0 comments

bottom of page