Belts and Number Systems

I recent bought a bunch of different belts, and I was surprised at how my different choices reminded me of different number systems.

Belts 1

The belt in the middle is the integer belt.  The holes are far apart and evenly spaced out, kind of like the integers 1, 2, 3, 4, … .

The belt on top is the rational number belt.  The criss-cross pattern means there are lots more holes to choose from, and they are closer together.

The belt on the bottom is the real number belt.   You can cinch this closed in a whole continuum of places.  You basically have every length available to you, from 0 to whatever.

Belts 2

Belts and number systems; socks and the axiom of choice!  What other math lurks in the closet?

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Mathematical Biographies

old mathematiciansThis is a comprehensive library of on-line biographies of mathematicians, brought to you by the School of Math and Statistics at the University of St. Andrews, Scotland.

http://www-history.mcs.st-and.ac.uk/BiogIndex.html

This is a truly remarkable resource.  It looks as though they have thousands of mathematicians in the database, and you can search the biographies by author, region, area, or mathematical topic.

Each entry contains a bio, a list of publications, awards, pictures, and other related materials.  You can also check out their famous curves index.

Bravo, SMSUSAS!  This is the kind of thing that the internet was really made for.

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Cool Knot Animations

knot animationThis is a nice collection of some lovely mathematical images and animations:

http://www.math.ru.nl/knopen/

There are some knot animations, some 3-D fractals, and some cool surfaces.  It seems as though these images and animations were generated in Maple.

There are also some nice images generated in some kind of ray-tracing program that may or may not be called vort.

Vort could also be the name of the person who created all these images.  I’m not sure; my Dutch isn’t very good.

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