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Re: For all you doubters about my lattice --->oo , just draw a finite one here.

From Ben Bacarisse <ben.usenet@bsb.me.uk>
Newsgroups sci.math
Subject Re: For all you doubters about my lattice --->oo , just draw a finite one here.
Date 2023-06-13 16:21 +0100
Organization A noiseless patient Spider
Message-ID <87y1kns80w.fsf@bsb.me.uk> (permalink)
References <a781eba3-b7cc-4a3f-9a5b-595319e13e6fn@googlegroups.com> <874jnbtr23.fsf@bsb.me.uk> <7c36599d-fb28-4ceb-a3f2-f492087f9c01n@googlegroups.com>

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Dan joyce <danj4084@gmail.com> writes:

> On Tuesday, June 13, 2023 at 9:44:46 AM UTC-4, Ben Bacarisse wrote:
>> Dan joyce <danj...@gmail.com> writes: 
>> 
>> > You just need a piece of graph paper and a dark pencil or pen. 
>> > I am using James's sequence instead of mine because his is 
>> > the true lattice where mine is a rectangle. 
>> > Strange enough, our sequence is the same sequence but 
>> > my layout of directions are a little different starting out. 
>> > Do all these steps in order with your choice of writing instrument. 
>> > James's out going sequence of events for a square lattice is, starting 
>> > with --- (RU=1,LD=2,RD= 1)
>> I don't know exactly what you are doing here, but since it seems to be about 
>> drawing edges on a square lattice I don't know why the sequence is not 
>> just a list of R, L, U, D (or any other four symbols). Instead, I see 
>> pairs of letters, and = sign and a number. What do these mean? 
> Ben,
> As an example ---

In maths, it usually better to define notation rather than give
examples.  But I think I have only one question left (see below).

> (RU=1,LD=2,RD= 1) RU=1 just means a right line of one unit long
> followed by an up line of 1 unit long (always a 90 degree turn right
> or left in this case left)

I'd write "ru".

> Then LD=2 just means left down twice, a
> line of 1unit long going left and then another line going down then
> repeat that for LD=2

So I'd write "ldld" for that.

> always connecting each line and always at a right
> or left 90 degree turn depending on the command.

Do the rules of the game really prohibit no turn, i.e. are rr, ll, dd
and uu excluded?

rl, lr, ud and du are excluded by the "only use each edge once" rule
which, if a turn /is/ required, will leave only eight valid pairs.  This
might be why you prefer a "pair and count" notation.

> The third command RD=1. is just...

If I've understood, that is what I'd write with just "rd".

So your RU=1,LD=2,RD=1 is my "ruldldrd"?

Can you also state the claim about your sequence to which you want to
draw the attention of "all you doubters"?  I.e. I don't know what people
have been doubting that you are now demonstrating.

-- 
Ben.

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Thread

For all you doubters about my lattice --->oo , just draw a finite one here. Dan joyce <danj4084@gmail.com> - 2023-06-13 05:46 -0700
  Re: For all you doubters about my lattice --->oo , just draw a finite one here. Dan joyce <danj4084@gmail.com> - 2023-06-13 06:05 -0700
  Re: For all you doubters about my lattice --->oo , just draw a finite one here. Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-13 14:44 +0100
    Re: For all you doubters about my lattice --->oo , just draw a finite one here. Dan joyce <danj4084@gmail.com> - 2023-06-13 07:56 -0700
      Re: For all you doubters about my lattice --->oo , just draw a finite one here. Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-13 16:21 +0100
        Re: For all you doubters about my lattice --->oo , just draw a finite one here. Dan joyce <danj4084@gmail.com> - 2023-06-13 08:47 -0700
          Re: For all you doubters about my lattice --->oo , just draw a finite one here. Dan joyce <danj4084@gmail.com> - 2023-06-13 09:14 -0700
          Re: For all you doubters about my lattice --->oo , just draw a finite one here. Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-13 17:18 +0100
            Re: For all you doubters about my lattice --->oo , just draw a finite one here. Dan joyce <danj4084@gmail.com> - 2023-06-13 09:47 -0700
              Re: For all you doubters about my lattice --->oo , just draw a finite one here. Dan joyce <danj4084@gmail.com> - 2023-06-13 10:02 -0700
              Re: For all you doubters about my lattice --->oo , just draw a finite one here. Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-14 02:02 +0100
                Re: For all you doubters about my lattice --->oo , just draw a finite one here. Dan joyce <danj4084@gmail.com> - 2023-06-13 18:27 -0700
                Re: For all you doubters about my lattice --->oo , just draw a finite one here. "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-13 19:03 -0700
                Re: For all you doubters about my lattice --->oo , just draw a finite one here. Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-14 14:00 +0100
                Re: For all you doubters about my lattice --->oo , just draw a finite one here. Dan joyce <danj4084@gmail.com> - 2023-06-15 07:09 -0700
                Re: For all you doubters about my lattice --->oo , just draw a finite one here. Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-15 17:29 +0100
                Re: For all you doubters about my lattice --->oo , just draw a finite one here. Dan joyce <danj4084@gmail.com> - 2023-06-15 11:34 -0700
                Re: For all you doubters about my lattice --->oo , just draw a finite one here. Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-15 23:51 +0100
                Re: For all you doubters about my lattice --->oo , just draw a finite one here. Dan joyce <danj4084@gmail.com> - 2023-06-15 16:07 -0700
                Re: For all you doubters about my lattice --->oo , just draw a finite one here. Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-16 00:12 +0100
                Re: For all you doubters about my lattice --->oo , just draw a finite one here. "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-15 16:23 -0700
      Re: For all you doubters about my lattice --->oo , just draw a finite one here. Dan joyce <danj4084@gmail.com> - 2023-06-13 08:29 -0700
  Re: For all you doubters about my lattice --->oo , just draw a finite one here. Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2023-06-13 16:40 +0100
    Re: For all you doubters about my lattice --->oo , just draw a finite one here. Dan joyce <danj4084@gmail.com> - 2023-06-13 09:09 -0700
  Re: For all you doubters about my lattice --->oo , just draw a finite one here. "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-13 19:49 -0700
    Re: For all you doubters about my lattice --->oo , just draw a finite one here. Dan joyce <danj4084@gmail.com> - 2023-06-13 19:59 -0700
      Re: For all you doubters about my lattice --->oo , just draw a finite one here. "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-13 20:19 -0700
    Re: For all you doubters about my lattice --->oo , just draw a finite one here. sobriquet <dohduhdah@yahoo.com> - 2023-06-15 17:41 -0700

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