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

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Dan joyce <danj4084@gmail.com> writes:

> On Tuesday, June 13, 2023 at 11:21:15 AM UTC-4, Ben Bacarisse wrote:
>> Dan joyce <danj...@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". 

> In this case 2 equal length lines at always 90 degrees at their
> connecting point.  Neve two connecting lines forming a longer straight
> line.

Yes, I can see that from your example, but the example does not answer
my question.  Do the "rules of the game" prohibit a solution that has
rr, ll, uu or dd in it?

>> 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. 
> Many reply's in  my original post thought it was impossible but now I am not 
> sure if they are still doubters.

But what are you claiming?  I thought that you had accepted that the
original claim (an endless path that encloses, eventually, every square)
was not possible.  So I am still wondering, what is it that people doubt
that you claim they should not doubt?

-- 
Ben.

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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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