I had so much fun with the original Mandelbrot program that I decided to see if I could improve it. I was amazed by how easily I was able to generate a fractal picture that looked exactly like other pictures online. … Continue reading
I was inspired by a My Favorite presentation from a student on the Mandelbrot fractal. I played around for a half hour at school without a ton of success, but I sorted out the sticking points on the way home, … Continue reading
I prepared a small demonstration of the Chaos game for some math teachers. First we used transparencies, markers, dice, and rulers, but humans are mistake-prone and slow. To The Computer! I decided to experiment with the rules of the game to … Continue reading
Buffon’s Needle is a famous way to (slowly) estimate . Here’s a processing.org program to calculate (to keep the math-hipster hatred of -day at a critical point and concave up). Link to live simulation and code. All variables are easy to … Continue reading
It’s midterm week at school, and James Tanton threw out two interesting questions in two days. I spent a little time programming “solutions” to these problems (not solutions, just verifications for an infinitesimally small portion of the natural numbers). Problem … Continue reading
Saw this tweet yesterday: All prime numbers between 2 and 2073600 mapped as pixels ARE THE MATRIX http://t.co/5skoRMc0gh — Kyle Hill (@Sci_Phile) January 14, 2014 Pretty cool. Josh Giesbrecht also did some great work with Mathematica to replicate the image. … Continue reading
I happened upon this tweet when I got to work this morning: Freeing imprisoned clones: finally a use for geometric series that isn't about computing interest http://t.co/FpJWxO73xI @numberphile #math — Matt Caicco (@MatthewJCaicco) December 20, 2013 So I watched the … Continue reading
A student made this today (day 2 of scratch). Too cool. Keep watching.
From The Daily Dot: To date, there is no known shortcut to quickly factor large integers into primes. It has never been proven that no such shortcut exists. We’ve just never found one. If the unfactorable nature of these large integers doesn’t … Continue reading
The chaos game, previously seen on Frank Noschese’s 180 blog and Jonathan Clayton’s blog Infinite Sums. I had to make this myself (deja vu?). Here’s what I made (processing 2.0): Check it out live. All these live links will probably … Continue reading