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worm puzzle
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Tim Roberts  
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 More options 26 Nov 1992, 14:53
Newsgroups: rec.puzzles
From: t...@giaeb.cc.monash.edu.au (Tim Roberts)
Date: Thu, 26 Nov 1992 12:31:01 GMT
Local: Thurs 26 Nov 1992 12:31
Subject: worm puzzle
Baby worm is 10cm long.  Mummy worm wants to knit a blanket that can be
guaranteed to cover baby worm no matter how it curls up when its asleep.  What
is the minimum area of balnket required ?

(All usual assumptions - mathematical worm, so zero width, only two
dimensional, etc)

--
Tim S Roberts
School of Applied Science                 tel:     051-226467
Monash University (Gippsland)             fax:     051-221348
Switchback Road
Churchill                                 email:   t...@giaeb.cc.monash.edu.au
Victoria 3842
Australia


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Warwick Allison  
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 More options 27 Nov 1992, 03:51
Newsgroups: rec.puzzles
From: warw...@cs.uq.oz.au (Warwick Allison)
Date: 27 Nov 92 01:19:56 GMT
Local: Fri 27 Nov 1992 01:19
Subject: Re: worm puzzle
In <tim.722781061@giaeb> t...@giaeb.cc.monash.edu.au (Tim Roberts) writes:

>Baby worm is 10cm long.  Mummy worm wants to knit a blanket that can be
>guaranteed to cover baby worm no matter how it curls up when its asleep.  What
>is the minimum area of balnket required ?
>(All usual assumptions - mathematical worm, so zero width, only two
>dimensional, etc)

0 area - it's a sock.

--
Warwick
--
  _-_|\      warw...@cs.uq.oz.au            /Disclaimer:
 /     * <-- Computer Science Department,  /  
 \_.-._/     University of Queensland,    /   C references are NULL && void*
      v      Brisbane, Australia.        /  


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rvesterm  
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 More options 27 Nov 1992, 05:21
Newsgroups: rec.puzzles
From: <RVEST...@vma.cc.nd.edu>
Date: Thursday, 26 Nov 1992 13:17:26 EST
Local: Thurs 26 Nov 1992 18:17
Subject: Re: worm puzzle
unbounded.

baby worm starts out lying in a straight line.  he then curls and
brings his head to his tail, keeping his tail in the same spot.
he then uncurls into a straight line, keeping his head in the same
spot and moving his tail to the spot 10 cm past where his tail
originally was (on the vector starting at his original head spot
and running through his original tail spot).  he then curls and
brings his head to his tail, keeping his tail in the same spot...

and so on.

bob vesterman.


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