On Thursday, June 15, 2023 at 4:27:50 PM UTC-4, Chris M. Thomasson wrote:
> On 6/15/2023 4:15 AM, Dan joyce wrote:
> > On Thursday, June 15, 2023 at 6:55:17 AM UTC-4, Dan joyce wrote:
> >> On Thursday, June 15, 2023 at 3:53:59 AM UTC-4, Chris M. Thomasson wrote:
> >>> On 6/15/2023 12:51 AM, Chris M. Thomasson wrote:
> >>>> On 6/14/2023 7:36 PM, Dan joyce wrote:
> >>>>> On Wednesday, June 14, 2023 at 7:47:41 PM UTC-4, Dan joyce wrote:
> >>>>>> On Wednesday, June 14, 2023 at 7:35:45 PM UTC-4, Chris M. Thomasson
> >>>>>> wrote:
> >>>>>>> On 6/14/2023 4:33 PM, Dan joyce wrote:
> >>>>>>>> On Wednesday, June 14, 2023 at 7:07:33 PM UTC-4, Chris M.. Thomasson
> >>>>>>>> wrote:
> >>>>>>>>> On 6/14/2023 3:26 PM, Dan joyce wrote:
> >>>>>>>>>> On Wednesday, June 14, 2023 at 6:23:33 PM UTC-4, Dan joyce wrote:
> >>>>>>>>>>> On Wednesday, June 14, 2023 at 3:33:54 PM UTC-4, Dan joyce wrote:
> >>>>>>>>>>>> On Wednesday, June 14, 2023 at 8:59:27 AM UTC-4, Dan joyce wrote:
> >>>>>>>>>>>>> On Wednesday, June 14, 2023 at 8:54:12 AM UTC-4, Dan joyce wrote:
> >>>>>>>>>>>>>> On Tuesday, June 13, 2023 at 10:49:01 PM UTC-4, Chris M.
> >>>>>>>>>>>>>> Thomasson wrote:
> >>>>>>>>>>>>>>> On 6/13/2023 6:42 PM, Chris M. Thomasson wrote:
> >>>>>>>>>>>>>>>> I got the square lattice down, using a different algorithm
> >>>>>>>>>>>>>>>> than James'
> >>>>>>>>>>>>>>>> version. However, Dan has a new version out, is that right?
> >>>>>>>>>>>>>>>> Can you post
> >>>>>>>>>>>>>>>> it in this fresh thread? It builds out the grid without
> >>>>>>>>>>>>>>>> using a path
> >>>>>>>>>>>>>>>> back home? Fwiw, here is a result of my current version of
> >>>>>>>>>>>>>>>> the lattice:
> >>>>>>>>>>>>>>>>
> >>>>>>>>>>>>>>>> https://i.ibb.co/C802QKf/image.png
> >>>>>>>>>>>>>>> [...]
> >>>>>>>>>>>>>>>
> >>>>>>>>>>>>>>> Here is another one built using a completely different
> >>>>>>>>>>>>>>> algorithm:
> >>>>>>>>>>>>>>>
> >>>>>>>>>>>>>>> https://i.ibb.co/C14qksJ/image.png
> >>>>>>>>>>>>>> Nice!
> >>>>>>>>>>>>>> I like the two color idea, one for going right and the other
> >>>>>>>>>>>>>> one going up and left.
> >>>>>>>>>>>>>> Has this actually been done before? A lattice that is finite
> >>>>>>>>>>>>>> in width but --->oo in length.
> >>>>>>>>>>>>>> Talk about a rectangular shape, this is the ultimate.
> >>>>>>>>>>>>> I have that wrong. (Both) colors have an upward path before
> >>>>>>>>>>>>> their 90 degree turn at the top
> >>>>>>>>>>>>> of their line.
> >>>>>>>>>>>>> .
> >>>>>>>>>>>> Chris, did you receive my photo of the lattice that creates the
> >>>>>>>>>>>> cells as it goes.
> >>>>>>>>>>>> No pathways present. Also it will --->oo in all directions.
> >>>>>>>>>>>> Even very small fractional
> >>>>>>>>>>>> directions --->oo.
> >>>>>>>>>>>>
> >>>>>>>>>>>> I believe this is significant over my original pathway lattice.
> >>>>>>>>>>>> The reason being that had to follow a pathway back to origin to
> >>>>>>>>>>>> complete all the cells in
> >>>>>>>>>>>> any size square lattice --->oo.
> >>>>>>>>>>>> Even the new one that you propose has finite width and --->oo
> >>>>>>>>>>>> length.
> >>>>>>>>>>>> That is a nice one also along with my original but this new one
> >>>>>>>>>>>> is something else that
> >>>>>>>>>>>> i am sure some will say not possible.
> >>>>>>>>>>>> I am going to start to build the sequence of directions R,D,LU
> >>>>>>>>>>>> to prove it is possible to start a lattice
> >>>>>>>>>>>> filling cells as you go without lifting the pencil. All the
> >>>>>>>>>>>> while making 90 degree turns right or left or
> >>>>>>>>>>>> up or down at the end of each line.
> >>>>>>>>>>>> What do you think?
> >>>>>>>>>>>> If this is true, it would be more significant then my original
> >>>>>>>>>>>> and the new lattice you propose.
> >>>>>>>>>>> It is true Chris,
> >>>>>>>>>>>
> >>>>>>>>>>> A simple straight forward list of directions that
> >>>>>>>>>>> represents the first rendering I sent you.
> >>>>>>>>> This one?
> >>>>>>>>>
> >>>>>>>>> https://i.ibb.co/D1LQrFZ/image.png
> >>>>>>>>> [...]
> >>>>>>>> Yes!
> >>>>>>>> That is the list of directions for building it.
> >>>>>>>> Do it in slow-motion and you will really appreciate the pencil not
> >>>>>>>> lifting off the page
> >>>>>>>> or in this case when I enter each direction via keyboard it end up
> >>>>>>>> as that image
> >>>>>>>> I sent you.
> >>>>>>>> I have made the next one but need to capture the directions and
> >>>>>>>> when I do I will send it along.
> >>>>>>> Okay. Well, basically, I think a proper animation simply must show all
> >>>>>>> the different ways this can be constructed. From your originals and my
> >>>>>>> and James' work, up to your new work. Fair enough?
> >>>>>> Sounds great!
> >>>>>> This last one, if you read some of James's remarks that what I just
> >>>>>> did in this one was not possible.
> >>>>>> I think James will be surprised when he runs the direction list I
> >>>>>> just sent. Also more larger ones can be built.
> >>>>>> It is good to have you guys on board with this. It adds to the effort
> >>>>>> of perfecting all of this for presentation.
> >>>>>> Thanks to both you guys.
> >>>>>
> >>>>> R,U,L,D,L,U,R,U,R,D,R,U,L,U,R,D,R,D,L,D,L,D
> >>>>> R,U,R,U,R,U,L,U,L,U,L,D,L,D,L,D,L,D,R,D,L,U
> >>>>> L,U,R,U,R,U,R,U,R,U,R,D,R,D,R,D,R,D,L,D,L,D
> >>>>> L,D,L,D,L,U,(L,U,R,D,R,U,L,U) Do not run these (...)
> >>>> [...]
> >>>>
> >>>> Looking good. The start circle in red, the origin, is nice and tangent
> >>>> with the end point, the center of the circle in yellow.
> >>>>
> >>>> https://i.ibb.co/zhjM4KY/image.png
> >>>>
> >>>> :^D
> >>>>
> >>> Actually, not exactly sure where to go from here. I get into dead ends
> >>> when I want to continue it. Do I go left? If I got right, then I have to
> >>> go up and have to go left. So, the initial size might be an issue?
> >>> Humm... Not sure yet.
> >> Use the original list.
> >> (L,U,R,D,R,U,L,U) is truncated from the original list only if you want
> >> a larger lattice.
> > My smart phone is screwed up. I couldn't open up the animation you sent 2 days ago.
> > Send to my other e-mail address. Thanks
> Sorry about the FB link. However, can you go to it and see the content?
> This one has a path back home:
>
> https://www.facebook.com/100034470228086/videos/791843519283462/
>
>
> The following link goes to the one that is the "infinite" builder...
> Very tall, infinitely tall... ;^D
>
> https://www.facebook.com/100034470228086/videos/pcb.984179659407699/992449118551795
>
> Many rooms... ;^)
>
> lol. ;^)
Nice presentation on both.
I like the one color going out and the different color coming back in.
Thanks.
You left out the last 8 directions on the original post to complete my new lattice.
(L,U,R,D,R,U,L,U)
It probably confused you because just to continue to the next larger lattice the above
had to be truncated and then I showed the added directions to get the next larger lattice.
I won't do that again because it is confusing.
I will just send each larger and larger set of directions for each lattice.