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2 May 2024 23:58:23 EDT (-0400)
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From: jr
Subject: Re: hilbert2d utility
Date: 10 May 2018 19:30:40
Message: <5af4d620$1@news.povray.org>
hi,

On 10/05/2018 22:16, Kenneth wrote:
> This is the main HF 'template' ...

a lot of detail, thanks.  there's one thing I'd like to clarify straight
away, before "cogitating" and reply.

suppose you had used the method described to make the HilbertTower
image, the template would be a "strip", ie the windows/facade for a
single floor, and would have been applied 20 or so times?  thanks.

jr.


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From: Kenneth
Subject: Re: hilbert2d utility
Date: 13 May 2018 11:15:00
Message: <web.5af85647ff7db64ca47873e10@news.povray.org>
jr <cre### [at] gmailcom> wrote:

(Sorry that I'm not responding as quickly as I'd like; not much free time
lately.)
>
> suppose you had used the method described to make the HilbertTower
> image, the template would be a "strip", ie the windows/facade for a
> single floor, and would have been applied 20 or so times?  thanks.
>

It *could* be done that way-- floor by floor-- but the basic window photo tiles
I use are typically 3 or 4 window-units wide, and the the same in height. It
depends on the photo, or if there's some interesting subtle variation in it.
Some photos have lots more windows. But the underlying scene code does apply the
windows floor-by-floor (and in single-window widths, if that makes sense to
you.)

One small detail I left out: the horizontal rooftops. They have to be
constructed in a different way, because the final building is just a
multi-height_field 'shell' with no innards (and no top!) I haven't arrived at a
good method for that yet ;-) For a simple 4-sided 'box' building, the roof could
likewise be a thin box; but a 'Hilbert-style' building (i.e., one with indents)
would need something more complex.


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From: Stephen
Subject: Re: hilbert2d utility
Date: 14 May 2018 14:35:13
Message: <5af9d6e1$1@news.povray.org>
On 13/05/2018 16:14, Kenneth wrote:
> jr <cre### [at] gmailcom> wrote:
> 
> (Sorry that I'm not responding as quickly as I'd like; not much free time
> lately.)
>>

Hi Kenneth,
jr has asked me to ask you, to drop him an email on the subject. As he 
has lost access to the newsgroups.


-- 

Regards
     Stephen


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From: Kenneth
Subject: Re: hilbert2d utility
Date: 15 May 2018 17:25:00
Message: <web.5afb4f94ff7db64ca47873e10@news.povray.org>
Thomas de Groot <tho### [at] degrootorg> wrote:
> [shudder]
>
> I do not want to imagine what it would be like to live in a building
> like that! ;-)
>

It's a very exclusive residence: a retirement home for mathematicians :-P


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From: Stephen
Subject: Re: hilbert2d utility
Date: 15 May 2018 18:02:54
Message: <5afb590e$1@news.povray.org>
On 15/05/2018 22:22, Kenneth wrote:
> Thomas de Groot <tho### [at] degrootorg> wrote:
>> [shudder]
>>
>> I do not want to imagine what it would be like to live in a building
>> like that! ;-)
>>
> 
> It's a very exclusive residence: a retirement home for mathematicians :-P
> 
> 

That would be Hilbert's hotel, then. "Always room for one more."

-- 

Regards
     Stephen


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From: Thomas de Groot
Subject: Re: hilbert2d utility
Date: 16 May 2018 02:49:41
Message: <5afbd485$1@news.povray.org>
On 16-5-2018 0:02, Stephen wrote:
> On 15/05/2018 22:22, Kenneth wrote:
>> Thomas de Groot <tho### [at] degrootorg> wrote:
>>> [shudder]
>>>
>>> I do not want to imagine what it would be like to live in a building
>>> like that! ;-)
>>>
>>
>> It's a very exclusive residence: a retirement home for mathematicians :-P
>>
>>
> 
> That would be Hilbert's hotel, then. "Always room for one more."
> 

LOL. Am I glad that I am not a mathematician ;-)

I have seen apartment buildings like that. When you live, say, on the 
fifth floor and on the inner court, you live a dismal life with hardly 
any daylight. :-/

-- 
Thomas


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From: Kenneth
Subject: Re: hilbert2d utility
Date: 23 May 2018 16:05:01
Message: <web.5b05c952ff7db64ca47873e10@news.povray.org>
Stephen <mca### [at] aolcom> wrote:
>
> Hi Kenneth,
> jr has asked me to ask you, to drop him an email on the subject. As he
> has lost access to the newsgroups.
>

Just tried to contact him, but his email address is showing up here on the web
interface as
  jr <cre### [at] gmailcom>

I'm seeing ### after  cre   and they don't work. Apparently those hash marks are
substituting for something else. :-(  Maybe it's a web-interface vs. newsreader
difference?


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From: Bald Eagle
Subject: Re: hilbert2d utility
Date: 25 May 2018 16:40:01
Message: <web.5b087378ff7db64c10874a080@news.povray.org>
Just ran across a very interesting video about the Hilbert Curve.

https://www.youtube.com/watch?v=3s7h2MHQtxc

This actually suggests that since a Hilbert curve is a continuous function that
can fill 2D (3d?)  that it can be implemented as a pigment pattern.

Perhaps others with more free time can imagine other interesting uses.  :)


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From: Stephen
Subject: Re: hilbert2d utility
Date: 25 May 2018 16:53:29
Message: <5b0877c9@news.povray.org>
On 25/05/2018 21:35, Bald Eagle wrote:
> This actually suggests that since a Hilbert curve is a continuous function that
> can fill 2D (3d?)


That's how jr hooked me, with a 3D Hilbert curve. ;-)

You might be able to twist his arm. ☺


-- 

Regards
     Stephen


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From: Thomas de Groot
Subject: Re: hilbert2d utility
Date: 26 May 2018 02:37:55
Message: <5b0900c3$1@news.povray.org>
On 25-5-2018 22:53, Stephen wrote:
> On 25/05/2018 21:35, Bald Eagle wrote:
>> This actually suggests that since a Hilbert curve is a continuous 
>> function that
>> can fill 2D (3d?)
> 
> 
> That's how jr hooked me, with a 3D Hilbert curve. ;-)
> 
> You might be able to twist his arm. ☺
> 
> 

Which reminds me: how do you run this utility?

-- 
Thomas


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