Visualizations

An illusion of predictability in scientific results

Even experts think / that well-estimated means / are certain outcomes. (Haiku summary due to MSR poets Dan and Jake). Click the thumbnail for a mini-explainer.

Elliptic curves and traveling wave solutions to the KdV equations

View traveling wave solutions to the KdV equations associated with (points of) elliptic curves.

Bayesian inference for COVID-19 testing

My brief foray into epidemiology at the start of COVID-19. Bayesian methods and interactive tools for informing COVID-19 surveillance testing strategies.

A catastrophe machine

Move the center of gravity of a wedge balancing on a table, and observe its corresponding catastrophe surface.

Linear regression, the old fashioned way

Perform ordinary least squares through a set of points with nails, springs, sleeves, and a frictionless rod.

A moduli space for triangles

A solution to a problem by Lewis Carroll using a clever moduli space. For fun, pick points on the moduli space, and watch triangles deform between them along geodesics.

The cross-section of a cylinder is an ellipse

A classical proof that the cross-section of a cylinder is an ellipse. I have no idea why, but this is the most popular blog post on my website.

Whitney's Umbrella

First steps in visualizing 3d mathematics using javascript. A famous surface with a cuspidal point.

Voronoizer bookmarklet

Draw a Voronoi diagram over any webpage with this bookmarklet.

Voronoize this page!

This page has a Voronoi diagram drawn over it, with link and input HTML elements as points.

Treasure hunting

You have been given flawed instructions for finding treasure on an island, but geometry may be able to help.

An ascii implicit function plotter

Plot an elliptic curve (or any implicit function) using ASCII art!

Cats on ladders

A cat is sitting on a ladder leaning against the wall, and the ladder slips. What shape does the cat draw through the air?

A network look at integer sequences

The Online Encyclopedia of Integer Sequences (OEIS) from a 10,000 foot view.

A visualization of a geometric bound on convex hulls

A lemma that bounds the size of a convex hull of points based off circles centered at those points.

Building a municipal land use code search engine using a graph of word embeddings

Using the geometry of language to help permit-seekers find the right municipal land use codes.