[math-fun] "The Busy Bee"
This may be a folie-a-deux, but both Serge Troubetzkoy and I have recollections of my having written a preprint that neither of us can find any trace of in the on-line or off-line universe. It was called "The Busy Bee", and it was a follow-up to my articles in the Mathematical Intelligencer (cowritten with David Gale, Scott Sutherland, and Serge Troubetzkoy) on the Langton Ant and variations thereon. The article was about what happens when you replace the square grid of the Langton Ant by an hexagonal grid. As in the square grid case, you can set up the rules and the initial conditions so that the bee builds ever-larger symmetrical structures in its universe. Well, sort of. I was able to prove that bilateral symmetry reasserts itself infinitely often, but I was never able to show that the structures grow without bound. That is: I wasn't able to rule out the possibility that at some point the structures start to shrink and the universe returns to its initial configuration. Does anyone have a copy of this article? (I'm guessing that I wrote it as a preprint, then discovered that my results were already in work of E.G.D. Cohen, and then let it languish.) Jim Propp
That one is still about the square grid. On Fri, May 11, 2018 at 12:30 PM, Hans Havermann <gladhobo@bell.net> wrote:
It was called "The Busy Bee" ...
Further travels with my ant?
https://arxiv.org/abs/math/9501233
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Jim: You asked this on math-fun three years ago (on 5/21/15) also, and didn't get any takers then :-) On Fri, May 11, 2018 at 1:00 PM, Allan Wechsler <acwacw@gmail.com> wrote:
That one is still about the square grid.
On Fri, May 11, 2018 at 12:30 PM, Hans Havermann <gladhobo@bell.net> wrote:
It was called "The Busy Bee" ...
Further travels with my ant?
https://arxiv.org/abs/math/9501233
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-- Forewarned is worth an octopus in the bush.
Oops. Thanks, Michael. I predict that I will continue to ask the question with increasing frequency as I approach the Senility Singularity (at finite time from your perspective, at infinite time from mine). Jim On Fri, May 11, 2018 at 2:11 PM, Michael Kleber <michael.kleber@gmail.com> wrote:
Jim: You asked this on math-fun three years ago (on 5/21/15) also, and didn't get any takers then :-)
On Fri, May 11, 2018 at 1:00 PM, Allan Wechsler <acwacw@gmail.com> wrote:
That one is still about the square grid.
On Fri, May 11, 2018 at 12:30 PM, Hans Havermann <gladhobo@bell.net> wrote:
It was called "The Busy Bee" ...
Further travels with my ant?
https://arxiv.org/abs/math/9501233
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-- Forewarned is worth an octopus in the bush. _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
Always reassuring to be reminded that I'm not the only one ... WFL On 5/11/18, James Propp <jamespropp@gmail.com> wrote:
Oops. Thanks, Michael.
I predict that I will continue to ask the question with increasing frequency as I approach the Senility Singularity (at finite time from your perspective, at infinite time from mine).
Jim
On Fri, May 11, 2018 at 2:11 PM, Michael Kleber <michael.kleber@gmail.com> wrote:
Jim: You asked this on math-fun three years ago (on 5/21/15) also, and didn't get any takers then :-)
On Fri, May 11, 2018 at 1:00 PM, Allan Wechsler <acwacw@gmail.com> wrote:
That one is still about the square grid.
On Fri, May 11, 2018 at 12:30 PM, Hans Havermann <gladhobo@bell.net> wrote:
It was called "The Busy Bee" ...
Further travels with my ant?
https://arxiv.org/abs/math/9501233
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-- Forewarned is worth an octopus in the bush. _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
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Maybe you should repeat the work that you remember doing, and post it here. Then we can be enlightened (and maybe help a little), and then the *next* time you ask the question, we will be able to point you at an actual answer. On Fri, May 11, 2018 at 2:38 PM, Fred Lunnon <fred.lunnon@gmail.com> wrote:
Always reassuring to be reminded that I'm not the only one ... WFL
On 5/11/18, James Propp <jamespropp@gmail.com> wrote:
Oops. Thanks, Michael.
I predict that I will continue to ask the question with increasing frequency as I approach the Senility Singularity (at finite time from your perspective, at infinite time from mine).
Jim
On Fri, May 11, 2018 at 2:11 PM, Michael Kleber < michael.kleber@gmail.com> wrote:
Jim: You asked this on math-fun three years ago (on 5/21/15) also, and didn't get any takers then :-)
On Fri, May 11, 2018 at 1:00 PM, Allan Wechsler <acwacw@gmail.com> wrote:
That one is still about the square grid.
On Fri, May 11, 2018 at 12:30 PM, Hans Havermann <gladhobo@bell.net> wrote:
It was called "The Busy Bee" ...
Further travels with my ant?
https://arxiv.org/abs/math/9501233
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-- Forewarned is worth an octopus in the bush. _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
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participants (5)
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Allan Wechsler -
Fred Lunnon -
Hans Havermann -
James Propp -
Michael Kleber