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| Newsgroups | sci.math |
|---|---|
| Date | 2023-06-13 09:47 -0700 |
| References | (1 earlier) <874jnbtr23.fsf@bsb.me.uk> <7c36599d-fb28-4ceb-a3f2-f492087f9c01n@googlegroups.com> <87y1kns80w.fsf@bsb.me.uk> <494c4798-62b7-4497-92ff-d5aa0613e7ebn@googlegroups.com> <87sfavs5cp.fsf@bsb.me.uk> |
| Message-ID | <c3d636ab-d9ce-4e57-80e6-e5eb87f18e24n@googlegroups.com> (permalink) |
| Subject | Re: For all you doubters about my lattice --->oo , just draw a finite one here. |
| From | Dan joyce <danj4084@gmail.com> |
On Tuesday, June 13, 2023 at 12:18:54 PM UTC-4, Ben Bacarisse wrote: > Dan joyce <danj...@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. I never claimed it was impossible. I said just the opposite that was a proven fact that it is possible,
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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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