Wild About Math! Making Math fun and accessible

18Jan/102

How the St. Louis Arch got its shape

I found this wonderful short video on Science Friday by mathematician Robert Osserman on the Math behind the St. Louis Gateway Arch. This video is a great testament to the beauty of mathematics. Watch it and tell us if you agree.

Filed under: Beauty 2 Comments
12Feb/081

Fractal Foundation fun

In my neck of the woods in northern New Mexico, the Fractal Foundation lives the mission of inspiring interest in science, Math, and Art through the beauty of fractals. The Foundation puts on fractal-related programs in schools and takes them on the road. The Foundation also sponsors a very popular First Friday Fractals night, on the first Friday of the month, for locals and tourists at the planetarium of the New Mexico Museum of Natural History and Science in Albuquerque.

At the Foundation's website are some nice fractal-related resources, many of them free.

  • The Fractal Software page has a great fractal viewer (runs on Windows and Mac) that lets you pick from 23 different fractal patterns and zoom in. This one is great fun.
  • On the same page there is also a program called "Electric Sheep" that seems to be like the SETI At Home project, but for fractals. For those of you who don't know, SETI At Home is a collaborative effort among millions of PCs to find extraterrestrial life by using some of the compute power in each cooperating PC to analyze signals from space looking for patterns. The idea is that when your computer is idle, like at night, it can give some computer time to the SETI project. Well, Electric Sheep does something similar for fractals. I've not downloaded it but the idea of collaborative fractal building sounds fascinating.
  • And, there's "Fractal Grower" (same page) that lets you create certain kinds of fractal patterns.
  • There are a half dozen fractal videos at the Fractal Video page. I downloaded the first one, named Glomey, which is 3 minutes 20 seconds long and found the video plus accompanying music to be absolutely mesmerizing.
  • The Fractal Art page has some beautiful fractals.

Check out the site. There's a fractal store, a page on chaos theory, and more.

Have fun!

Filed under: Art, Beauty, Fun, Geometry 1 Comment
13Dec/073

Flexagon fun for the whole family

If you've never heard of flexagons you're in for a treat. Flexagons are flat paper constructions, some of which are really easy to make, that are tremendously fun to play with because you "flex them", hence the name, to reveal more than the two sides that you would expect to see. Some flexagons are even related to the Mobius strip.

Wikipedia has a nice article about flexagons but my very favorite flexagon site is The Flexagon Portal. The portal has a number of patterns that you can print out, preferably on a color printer, cut out, fold, then flex to your heart's content. The site has easy flexagons and others that are harder to make.

Flexagon projects are great for the kids because they can color them and create their own flexagon masterpieces. Also, they can make original flexagon Christmas cards with their own messages on them. Different parts of the greeting can be revealed on different sides of the flexagon.

While you're on the Flexagon Portal don't miss the FAQ page. There are only three FAQ items but the tips for cutting, folding and pasting are definitely worth a read. Also, check out the video on how to fold a flexagon.

You Tube has a few videos about flexagons. Here's a nice one:

[youtube]http://youtube.com/watch?v=SnnvovjcC_o[/youtube]

Filed under: Beauty, Fun 3 Comments
10Oct/070

Phi: It’s everywhere you look

Phi, also known as the golden ratio or the divine proportion, is one of the great mathematical constants. It is equal to a little more than 1.6 and is a most interesting irrational (but not transcendental) number. Phi has a fascinating connection with the Fibonacci series, it can be derived by solving a simple quadratic equation, and it reveals itself in simple but deep geometric constructions.

http://goldennumber.net provides the familiar background material on Phi and then goes much deeper, showing startling examples of how the golden ratio appears in art, architecture, music, poetry, proportions of the human body, and other surprising places.

A fun example of Phi appearing in unexpected places is in the dimensions of a credit card. The ratio of the two sides is very close to Phi.

Credit card dimensions in the golden ratio

Another surprising example, at the microscopic level, is the DNA molecule. Each double helix spiral is in the proportion of the golden ratio.

DNA molecules in golden ratio proportion

Check out http://goldennumber.net for more than you could every want to know about Phi, all beautifully illustrated.

8Oct/070

A picture is worth …

How many of you remember doing geometry proofs in High School? How many of you enjoyed writing them? I don’t know about you but I’ve always preferred pictures to words when it comes to understanding how something works.

Proofs Without Words“Proofs Without Words: Exercises in Visual Thinking” by Roger B. Nelsen is a wonderful book that provides visual insights into how one might go about proving mathematical theorems. The Pythagorean Theorem has always been a mystery to me. How are the squares of the sides of a right triangle related to its hypotenuse? “Proof Without Words” has five clever illustrations that guide readers in writing their own proofs.

If you ever doubted that algebra and geometry were related, the diagrams demonstrating how to compute sums of series will produce aha! experiences.

Writing proofs when one is guided by visual cues is a much more fulfilling endeavor than stringing together dry facts from memory. This book delivers much fulfillment in exploring theorems in geometry, algebra, trigonometry, sequences, and other aspects of Math.