# 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.

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

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## 2 Comments

## Japheth Wood · February 25, 2011 at 9:13 am

Nice observations on the belts. Let me know when you get a Gaussian Integer belt!

## MrHonner · February 25, 2011 at 9:54 am

Or perhaps a hyperreals belt.