Re: Thinking about metric spaces

In article <1182922828.134034.101910@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>, bit188 writes:

First, what if we defined a metric p(x,y) to be equal to |x_2 - x_1| +
|y_2 - y_1|? I came up with this one when playing chess with the
computer: this is how you measure the distance between pieces,
correct?

Is there a name for this metric? Because I can imagine all kinds of
cool things to do with it. I could go on to (attempt) to define
angles, trig, and all that good stuff.

I'd suggest that you might want to start with this book:

<http://www.amazon.com/Taxicab-Geometry-Adventure-Non-Euclidean/dp/0486252027>


--
Michael F. Stemper
#include <Standard_Disclaimer>
Always use apostrophe's and "quotation marks" properly.

.

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