Re: [OT] Sierpinski etc

From	Ilya Zakharevich <nospam-abuse@ilyaz.org>
Newsgroups	comp.lang.postscript
Subject	Re: [OT] Sierpinski etc
Date	2011-12-28 22:37 +0000
Organization	U.C. Berkeley Math. Department.
Message-ID	<slrnjfn6hn.epf.nospam-abuse@panda.math.berkeley.edu> (permalink)
References	(1 earlier) <b9b6fdd9-ffa2-4a63-adbf-bb065c1e4f58@p13g2000yqd.googlegroups.com> <slrnjfcvak.km1.nospam-abuse@panda.math.berkeley.edu> <ug4fi3xbqjio.1jnzryn13s9nr.dlg@40tude.net> <slrnjfka8a.8sb.nospam-abuse@panda.math.berkeley.edu> <pzv1avp53hc1.cx7qxi7ev97k$.dlg@40tude.net>

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On 2011-12-27, tlvp <mPiOsUcB.EtLlLvEp@att.net> wrote:
>> We do not have handouts for the baby math circle organized neetly yet.
>> What we have is on
>>   http://mathcircle.berkeley.edu/index.php?options=bmc|bmc_elementary|BMC%20Elementary

> What a marvelous intranational mix -- Kansas & Berkeley! Importing the old
> Moscow math circles to the west coast :-) .

Actually, there is nothing "old" about the "baby stuff".  Before
Natasha, all people I know believed that math circles are not viable
with kids younger than about 11 (I know that Sergey Tabachnikov did
something in PennState with 3rd/4th graders, but [officially] we start
with the 1st grade).  [But keep in mind that this particular problem was
discussed only in the 3rd/4h grade group.]

And this year, we are trying to switch from the "watch and enjoy"
style (a theme is switched away from after about 25min) to "study and
enjoy" (when themes take many meetings to unravel).

>> Handout: a black path on a very detailed Sierpinski triangle; aim: continue
>> the pattern.  A snail goes with constant speed, and makes the first interval
>> in 1min.  How long would it it take for the snail to finish the path?
>
> Doesn't it depend whether it takes the snail 1 minute for *each* segment,
> no matter how long or short the segment, or whether the snail takes
> proportionally less time for shorter segments, or perhaps even whether,
> as an intelligent, perfectible snail, it can traverse each succeeding
> segment in half the time of the previous segment?

Note the "constant speed" clause.

Thanks for your comments,
Ilya

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Koch snowflake using Lindenmeyer System luser- -droog <mijoryx@yahoo.com> - 2011-12-23 14:32 -0800
  Re: Koch snowflake using Lindenmeyer System luser- -droog <mijoryx@yahoo.com> - 2011-12-24 03:59 -0800
    Re: Sierpinski Ilya Zakharevich <nospam-abuse@ilyaz.org> - 2011-12-25 01:33 +0000
      Re: Sierpinski luser- -droog <mijoryx@yahoo.com> - 2011-12-24 21:22 -0800
        Re: Sierpinski Ilya Zakharevich <nospam-abuse@ilyaz.org> - 2011-12-25 22:49 +0000
          Re: Sierpinski luser- -droog <mijoryx@yahoo.com> - 2011-12-25 19:19 -0800
            Re: Sierpinski Ilya Zakharevich <nospam-abuse@ilyaz.org> - 2011-12-27 20:09 +0000
      Re: Sierpinski tlvp <mPiOsUcB.EtLlLvEp@att.net> - 2011-12-26 21:47 -0500
        Re: Sierpinski Ilya Zakharevich <nospam-abuse@ilyaz.org> - 2011-12-27 20:13 +0000
          Re: Sierpinski tlvp <mPiOsUcB.EtLlLvEp@att.net> - 2011-12-27 16:37 -0500
      Re: Sierpinski tlvp <mPiOsUcB.EtLlLvEp@att.net> - 2011-12-26 22:26 -0500
      Re: Sierpinski tlvp <mPiOsUcB.EtLlLvEp@att.net> - 2011-12-26 23:24 -0500
        Re: Sierpinski Ilya Zakharevich <nospam-abuse@ilyaz.org> - 2011-12-27 20:22 +0000
          Re: Sierpinski tlvp <mPiOsUcB.EtLlLvEp@att.net> - 2011-12-27 16:29 -0500
            Re: [OT] Sierpinski etc Ilya Zakharevich <nospam-abuse@ilyaz.org> - 2011-12-28 22:37 +0000
              Re: [OT] Sierpinski etc tlvp <mPiOsUcB.EtLlLvEp@att.net> - 2011-12-28 19:53 -0500
                Re: Sierpinski etc luser- -droog <mijoryx@yahoo.com> - 2011-12-28 23:35 -0800
                Re: Sierpinski etc tlvp <mPiOsUcB.EtLlLvEp@att.net> - 2011-12-29 12:07 -0500
    ??? using Lindenmeyer System luser- -droog <mijoryx@yahoo.com> - 2011-12-27 22:55 -0800
      Re: ???(broccoli) using Lindenmeyer System luser- -droog <mijoryx@yahoo.com> - 2011-12-31 15:32 -0800

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