This is an image of light transport through a bubble cluster generated as part of REU student Sarah Ciresi's project. The bubble cluster was generated using our Koebe-Lib library for inversive geometry that we have developed over the past two …

## Student Post: Transforming Graphs

Today’s mission was to transform K6 into another member of the Petersen Family of graphs using a Δ-Y transform of K6 by identifying 3 vertices and 3 edges connecting them pair-wise, deleting those edges, and adding a new vertex connected to all three points. …

## Deutsch’s Algorithm

Disclaimer The current posting is considered to be a simple example application of the theorems and mathematics discussed in the last post, The Basic Mathematics of Quantum Computing. The information here will be hard to grasp unless you have covered …

## Student Post: Circle Selection

For the past week or so I was tasked with allowing the user to select a circle and then change the color of the circle when selected. Similarly when a point is a selected, change its color as well. In …

## Student Post: Cleaning up Graphs and Code

This week was largely spent on cleaning up my code for the Petersen graph and the graph of K6 (also I changed how K6 looks as a 3-D model completely). Since I am very new to OpenSCAD, my code was very length and a …

## Student Post: Streamlining the Tools

This week I was tasked with trying to ‘highlight’ a circle if selected. Currently, I am struggling with how to calculate the intersection if a user selects an edge because a disk has three incoming edges in which the other …

## Student Post: The Beginning of the Petersen Family of Graphs’ Journey into Space … 3-Space

Graphs can be a funny thing. When you say “graph”, some people will thing of a line or some other function in 2-D. Other people will think of marvelous planes and surfaces in 3-D. Fewer people will think of “standard” …

## Student Post: Simple Introduction To Rigidity

The figure on the left is a convex polyhedron, while the figure on the right is non-convex. What makes the cube on the left convex is that any two points can be connected by a line segment within the …