zProblem

Steven D'Aprano steven at REMOVE.THIS.cybersource.com.au
Wed Apr 15 04:53:32 CEST 2009


On Tue, 14 Apr 2009 14:42:32 -0700, norseman wrote:

> Grids are uniform! Same size, non-changing across whole backdrop. There
> is nothing in uniform that says X==Y. Units along axis need not be same.
>   Corners don't even have to be 90degrees. (Spherical) But they must
> measure as same size cells across the board. Just like any grid paper.

Except for log paper, log-log paper, normal-probability paper, and other 
non-uniform grids.

http://en.wikipedia.org/wiki/File:Log_paper.svg

Or Penrose tilings:

http://en.wikipedia.org/wiki/Penrose_tiles


> For those reading this that just said "AH-Hah!", Spherical (Lat./Long.)
> is not measured in Cartesian (distance like feet or meter) but in angles
> (like 7 and 1/2 minute USGS Quads). 7.5minutes of Longitude at the
> equator does not have the same arc length as 7.5minutes at the poles.
> But both are 7.5minutes and thus form a (polar) grid. ENOUGH OF THIS -
> sorry for being long winded.
> 
> Whoever wrote Tk was not crazy. Just didn't use a dictionary.

Nor should they. "Grid" has technical meanings (note plural) that are not 
well-suited to a dictionary definition. I'm amused that Wiktionary gives 
one definition for grid as a rectangular array of uniformly sized squares 
or rectangles, and illustrated it with a curvilinear grid of non-uniform 
pieces!

http://en.wiktionary.org/wiki/grid



-- 
Steven



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