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 Local / Australia / 1797
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Subject: 
Re: Soccer tournament rules
Newsgroups: 
lugnet.loc.au
Date: 
Sun, 2 Jul 2000 02:04:22 GMT
Viewed: 
404 times
  
"James Howse" <jehowse@yahoo.com> wrote in message
news:Fx1rC6.8J3@lugnet.com...
In lugnet.loc.au, Richard Parsons writes:
Setting up the field

Any field to be used must have
two halves which are either
   mirror reflections of each other across the halfway line, or
   reflections of each other about the centre point of the field.

To be picky you might mean rotations about the centre point.

Hey hey, be picky to your heart's content!  Whatever floats your boat.
What's the difference in this case between a rotation about the centre • and a
reflection through the centre?

Consider, a field, rectangular, with centre point C.
call one of the corners A and the other on the same short side B, like so.
A point on each of the long edges has also been named for clarity

A---a-----+---------X
|         |         |
|         C         |
|         |         |
B---b-----+---------X

reflection about centre line passing through C

A---a-----+-----a---A
|         |         |
|         C         |
|         |         |
B---b-----+-----b---B

however rotation about point C (180deg) gives

A---a-----+-----b---B
|         |         |
|         C         |
|         |         |
B---b-----+-----a---A

I'm having a really slow day, I know, but isn't this exactly like a
reflection through the centre point?

> I was wondering what sort of team to put together, since PeteW has
already
snagged the nepean ninjas the G.T.W.R. team sounds fine.

Thinking about your space marines has one pondering about Space Rangers, Red
Planet Rockets (hmm they weren't really red were they....) or how about the
Vacuum Vermin - I mean after all, Australian teams rally around names like
cockroaches and cane toads.  Or go Medieval!  For extra berserk, go Postal!!

Richard
Still baldly going...

Check out Port Block at http://www.hinet.net.au/~rparsons/port/
511 and closing....



Message is in Reply To:
  Re: Soccer tournament rules
 
(...) Consider, a field, rectangular, with centre point C. call one of the corners A and the other on the same short side B, like so. A point on each of the long edges has also been named for clarity A---a-----+---...---X | | | | C | | | | (...) (24 years ago, 2-Jul-00, to lugnet.loc.au)

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