crazy? was: Very sad selling my baby
From: f s (for888sale@yahoo.com)
Date: Mon 18 Nov 2002 - 22:06:05 EST
I was looking for pics of those Japanese factory
‘contests’ where employees made funny vehicles. Square
wheels were popular. I couldn’t find pics, but…
:-)
--- MATSUBAYASHI 'Shaolin' Kohji
<shaolin@rhythmaning.org> wrote:
> At Mon, 18 Nov 2002 20:43:20 +1100,
> Angus Gratton wrote:
> >
> > >i am sad to say that i no longer have the ability
> to take care of my
> > jet black 1985 505 turbo.
> >
> > Want to export it to Australia? :-P
> >
> > (Just kidding I guess... why oh why couldn't they
> have put in the
> > effort to convert some 505 Turbos to RHD!)
>
> Yes, just for curiousity...
>
> Every car in Australia should not be LHD?
> Is it unlawful to have LHD cars in Australia?
> Should LHD owners pay extra tax or something?
>
> And how is it like in other countries?
>
>
> We Japanese may be the craziest people on earth:
> there are both LHD and RHD, and many highways and
> parking lot
> even have two tollbooths for LHD and RHD (Doh!)
> Shame on us!
heh :-)
> Recently someone posed this problem to me, but we
did not agree on the
> best solution.
>
> If one has a square wheel, is there a shape that the
ground could have,
> that would allow the wheel to roll absolutely
smoothly, i.e. with the
> "axle" of the wheel not making any vertical
movement?
>
> It's pretty obvious that the ground would have to
have a shape something
> like a succession of semicircles, but I don't know
if this is the best
> solution. Also (assuming a semicircle), what would
be the ratio of the
> side of the wheel to the diameter of the semicircle?
And would the
> semicircles be directly adjacent to each other, or
would there be a gap
> between them?
It turns out the bumps should be catenaries, not
semicircles.
This can be solved using some differential equations.
Stan Wagon (Macalester College) made a working
square-wheel bicycle.
There was a picture published in the newspaper last
year that
shows it actually working. Here it is...
<http://www.math.ohio-state.edu/~edgar/square_wheels.jpg>
and
http://www.studyworksonline.com/cda/content/article/0,,EXP1178_NAV2-95_SAR1180,00.html
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