A Student Post: An Interactive Application for (Inversive) Geometry Of Circles

Hello, For the past several months I have been working an interactive interface for the construction of inversive geometry of circles. Currently the working features are adding points, dragging points, and selecting three points to draw a disk. The past few weeks I was tasked with altering the code in order to implement a construction …

A Student Post: The Basic Mathematics of Quantum Computing

Outline This blog post is purposed with denoting and recognizing the basic principles involving the mathematics behind quantum computing. This write up is directed towards upper level undergraduates, as well as graduate students, with backgrounds in mathematics or computer science. This article will cover the simulation and representation of quantum physics using specialized computer bits …

Student Post: The Basic Principles of Quantum Computing

What is Quantum Computing? The nature behind the implementation of quantum computers comes from the attempt to simulate and use principles of quantum mechanics to enhance computational run-time exponentially. Theoretically, any task given to a classical Turing machine can be completed with exponentially less computations on a quantum computer. In order to accomplish this, quantum …

Koebe-Lib Initial Release

The initial release of Koebe-Lib, our library for representing constructions in the inversive geometry of circles on the 2-sphere has just been uploaded to GitHub. Currently, the library contains one application, SphericalSketch, which allows a user to define and interact with geometrical objects on the 2-sphere using the python language. A screenshot of the interface …

Student Post: Variations in Size on General Petersen Graphs

Hello again! One more blog post dealing with Petersen Graphs. Last week we saw several examples of embeddings of Petersen graphs. Since one of the main goals behind creating those realizations is to 3D print them. As such, it is important that the dimensions of our embeddings are reasonable. In the previous embeddings, the graphs …

Student Post: General Petersen Graphs in OpenSCAD

The field of graph theory is diverse and interesting. There are many topics to explore and endless different representations of different graphs. A particularly interesting side of graph theory to explore involves different embeddings of graphs in 3 Space. This is exciting in part due to the modern ability to 3D print. Given that there …