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From: grue@mail.ru (Timofei Shatrov)
Newsgroups: alt.ascii-art
Subject: Re: Mike Throll 5
Date: Sat, 22 Sep 2001 12:21:22 GMT
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On 22 Sep 2001 04:54:59 GMT, uncle monty <unclemonty@babyfishmouth.org> tried to
confuse everyone with this message:

>
>ok Timofei, time to reveal the shape that solves the problem... we are 
>clearly too thick to get your hints.  thanks --monty


              /\
             /  \
            /    \
           #\    /#
         /\##\  /##/\
        /  \##\/##/  \
       /   \\####/    \
      #\    /####\    /
    /\##\  /##/\##\  /#/\
   /  \##\/##/  \##\/#/  \
  /    \####/    \###/    \
  \    /####\    /###\    /
   \  /##/\##\  /##/\#\  /
    \/##/  \##\/##/  \#\/
       /    \####/    \
       \    /####\    /
        \  /##/\##\  /
         \/##/  \##\/
           #/    \
            \    /
             \  /
              \/

  

Let's imagine this grid is infinite. After some time (t) it will fill all the
plane. It's area increases k times (k>1000 is constant).

Let's make finite but very big grid. After some time its center area will
increase k times and its border can't affect dots which are more than t meters
from border. If initial area of blot=a, then 

a'/a ~ k*((r-t)^2)/(r^2))
  
if k=1000*(x^2),x>1 then (r-t)/r must be greater than 1/x, r>xt/(x-1). So, we can
choose any radius more than xt/(x-1)


          _.,----.._
       ,-'          '-.
     /'        ##      -.
    '     ###########    \
   /   ################   \
  /   ##################   \
 .'   ##################   \
 |   #########<------------>|
 |    ##############r###   |
  |   ##################   /
  '.   ###############    |
   `.    ###########     /
     \        ^        _'
      `._     |t     ,-
         `-.._v__.,-'













-- 
Grue <grue sobaka mail.ru>
Mike Throll comic strip at:
http://grue.freeservers.com
Bugsoft Perm at:
http://bugsoft.freeservers.com