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. ;^)