Car Talk: False Positive?

From the fantastic car talk puzzler division RAY: There’s a rare disease that’s sweeping through your town. Of all the people who are exposed to it, 0.1 percent of the people actually contract the disease. There are no symptoms until the disease actually occurs. However, there’s a diagnostic test that can detect the presence of […]

Car Talk: Barber Math

From the fantastic car talk puzzler: NEW BARBER MATH RAY: A barber had his first customer of the day, who happened to be a friend. When he was done, the barber refused to take the money from the customer. The fellow said, “Look, I know we’re friends, but, business is business. I want to pay […]

Plots of the Exponential Function over the Complex Plane

I was inspired by this tumblr post, and this wikimedia page to make some pretty pictures of the exponential function over the complex plane. Go there to read in more detail how the images were created, including how the colors were created. Code is found here. Hi definition images are found here. Update: Here’s what […]

Tracking Venus and Earth over 8 years

I came about this tweet: If you track the relative positions of Earth and Venus over an 8 year period, this is the resulting pattern. pic.twitter.com/lOoeUtAXH2 — SciencePorn (@SciencePorn) May 16, 2015 It reminded me strongly of the waning moon and linear mod art projects that I’ve been playing with. For instance, here’s a screenshot […]

Linear Modulus Art

I saw this fantastic webpage a couple of months back. Tons of fun. I took that idea and made a gif for my weird art Tumblr, Recursive Processing.   Here’s the processing.org code and the live (and smoother) version, and here’s the more fun version that is interactive based on the mouse position (some interesting polar math is […]

The Mandelbrot Set Viewed through Precalculus

I’ve given this presentation in November 2014 at AMTNYS in Syracuse, and in April 2015 at NCTM in Boston. I’ll be giving the presentation in May 2015 at the NY Master Teacher Conference, and in July 2015 at Twitter Math Camp in Claremont CA.  Drive Why use the Mandelbrot fractal to get the students to […]

Using the arctan Power Series to Calculate Pi

(Note: this post is an extension on the calculating pi with python post from a couple of years back. Also here’s another way to inefficiently calculate pi with Buffon’s Needles.) We’re currently working with Power series and Taylor series in Calculus. One particularity pretty derivation is going from the series for to the series for […]