I posted a while back about the wonders of Fourier Curves, and I’ve posted many times about Euler’s Formula and other graphical wonders of the complex plane. Recently, a Numberphile video introduced me to another graphical wonder: Euler Spirals. They’re one of those very simple ideas that results in almost infinite variety (because of chaos).
As it turned out, the video (videos, actually) led to a number of fun diversions that have kept me occupied recently. (Numberphile has inspired more than a few projects over the years. Cool ideas I just had to try for myself.)
This all has to do with virtual turtles.
8 Comments | tags: geometry, Leonhard Euler, Numberphile, pi | posted in Math, Wednesday Wow
Musicians practice; actors rehearse; athletes work out; and mathematicians play with numbers. Some of the games they play may seem as silly or pointless as musicians playing scales, but there is a point to it all. That old saying defining insanity as doing the same thing over and over and expecting different results was never really correct (or intended to be used as it often is).
An old joke is more on point: “How do you get to Carnegie Hall?” (Asked the first-time visitors to New York.) — “Practice, practice, practice!” (Replied the street musician they asked.) The point of mathematical play can be sheer exercise for the mind, sometimes can uncover unexpected insights, and once in a while can be sheer fun.
As when finally solving a 65-year-old puzzle involving the number 42!
8 Comments | tags: 42, Andrew Booker, Diophantine equation, discrete mathematics, mathematics, Numberphile | posted in Math
Back at the start of March Mathness I promised the math would be “fun” (really!), but anyone would be forgiven for thinking the previous two posts about Special Relativity weren’t all that much “fun.” (I really enjoy stuff like that, so it’s fun for me, but there’s no question it’s not everyone’s cup of tea.)
Trying to reach for something a bit lighter and potentially more appealing as the promised “fun,” I present, for your dining and dancing pleasure, a trio of number games that anyone can play and which might just tug at the corners of your enjoyment.
We can start with 277777788888899 (and why it’s special).
3 Comments | tags: 277777788888899, algorithm, calculation, Collatz conjecture, computation, Mandelbrot, mathematics, multiplicative persistence, Numberphile | posted in Math
Time for math!
I have a special fondness for the month of March. For one thing, it contains the Vernal Equinox — one of my favorite days, because it heralds six months of light. (As a Minnesotan, Spring has much more impact than it did when I lived in Los Angeles.)
March is when the weather elves begin preparing for the April Showers that create May Flowers. It’s when baseball Spring Training is in full swing with the regular season looming (lately, even at the end of the month; this year on the 28th).
It also contains some important birthdays: Albert Einstein (3/14) and Emmy Noether (3/23), to name two, and in their honor I have myriad math posts planned!
8 Comments | tags: 3Blue1Brown, Albert Einstein, complex numbers, Emmy Noether, mathematics, Mathologer, Numberphile, tesseract | posted in Math
Today is a date most folks living in the USA write as 12-13-14, and for anyone who loves numbers a date like that demands a post of some sort. I’d planned to goof off today, maybe catch up on some movies, but there’s just no way I won’t post on a date with a sequence like that.
Of course, others write today’s date as 13-12-14, but they’re not from around here. And there’s just no helping those who insist on writing 2014. The real error is putting the year last — the sensible way is 14-12-13, which allows proper sorting of dates chronologically. We should all change to that immediately.
If it’s not obvious yet, today is just a meandering ramble.
Leave a comment | tags: Cirocco Jones, climate change, female characters, fitted sheets, folded sheets, girl power, global warming, grey skies, humor, John Varley, melting snow, Numberphile, Santa Claus, science fiction, science fiction movies, snow, Titan trilogy, USAnian, winter | posted in Sci-Fi Saturday