Author: Kaeshav Danesh

Making Math with Kaeshav
Minimal Surface Bubbles It turns out that soap bubbles create surfaces of minimum area that fills a closed shape. So, we built closed shapes using zometool and used soap bubbles to find the minimal surface that connects the edges. One of the cool shapes is shown below. I wonder what the equation determining the shape…

The 100 Prisoners Problem
For this project, I wanted to design an interactive version of the 100 prisoners problem. The Problem The problem starts with 100 boxes labeled 1100 and 100 pieces of paper labeled 1100. The papers are distributed randomly into the boxes. Now, there are 100 prisoners labeled 1100. They are told that if all 100 of…

Frieze Groups on a Circle
For this project, I explored visualizations of all seven frieze groups on a circle. I created a bracelet using lettered beads and laser engraved water bottles for the Math department. What are the Frieze Groups? Frieze Groups describe the possible symmetries of patterns on a 1D strip of paper. There are only seven of them.…

Mandelbrot Set
For our upcoming project, we’re planning on exploring the mandelbrot set and some of the math around it. The mandelbrot set is defined by the set of complex numbers which preserve the following property: For a given value c, we define a recurring relationship xn+1 = xn2 + c, where xn remains bounded (does not…

Revisiting Hexaflexagons and Minimal Surface Bubbles
Surface Minimizing Bubbles The Math Behind Surface Minimizing Bubbles: As mentioned in the previous blog post bubbles find the minimum surface bounded by a shape. A minimal surface is defined as “having a total curvature equal to zero in every point.” However if air gets trapped in the bubble, the bubble will no longer have…

Surface Minimizing Bubbles
We used soap bubbles to find minimal surface area shapes. These surfaces, given a closed shape, will span the shape using the least area. Using Zometool to make various shapes, we made some fascinating surfaces. Making Shapes Zometool is a plastic construction set that is often used for making mathematical structures. It is simple to…

Mehak and Kaeshav Project Ideas
Chladni Figure Photograph by Steve Mould. Full video here. Chladni figures are the strange patterns created when a violin bow is used to vibrate a metal plate with sand on it. Based on where the plate is held down, different patterns are created. This is caused by standing wave on the plate. An image of…