"Ronn!Blankenship" wrote:
> 
> At 12:02 AM 4/6/04, The Fool wrote:
> ><<http://www.sciencenews.org/articles/20040403/mathtrek.asp>>
> >
> >Riding on Square Wheels
> >Ivars Peterson
> >
> >A square wheel may be the ultimate flat tire. There's no way it can roll
> >over a flat, smooth road without a sequence of jarring bumps.
> >
> >Stan Wagon, a mathematician at Macalester College in St. Paul, Minn., has
> >a bicycle with square wheels. It's a weird contraption, but he can ride
> >it perfectly smoothly. His secret is the shape of the road over which the
> >wheels roll.
> >
> >
> >
> >
> >Stan Wagon rides his square-wheeled trike over a special roadway.
> >Courtesy of Stan Wagon
> >
> >
> >
> >
> >A square wheel can roll smoothly, keeping the axle moving in a straight
> >line and at a constant velocity, if it travels over evenly spaced bumps
> >of just the right shape. This special shape is called an inverted
> >catenary.
> 
> Interesting.  And maybe useful in some specific cases.  But it would
> probably be quite expensive to build millions of miles of roads with
> inverted catenary-shaped bumps and to maintain them in that figure, to keep
> debris, snow, ice, etc., from accumulating in the low points, etc., and
> even if that was done, only one size of square wheel would work, regardless
> if one were driving a small car or a motorcycle or a heavily-loaded
> eighteen-wheeler.  I think those difficulties would be enough to cosh the
> whole idea.
> 
> -- Ronn!  :)
> 

No, but special purpose vehicles and/or robots designed to
crawl over a row of pipes without damaging them would be
a cool application.


-- Matt
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