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30 May 2024 09:30:05 EDT (-0400)
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From: Tor Olav Kristensen
Subject: Re: Making Patterns with functions
Date: 13 Feb 2024 20:00:00
Message: <web.65cc1037d81b8479f673154389db30a9@news.povray.org>
"Bald Eagle" <cre### [at] netscapenet> wrote:
> "Bald Eagle" <cre### [at] netscapenet> wrote:
> > I'm going to try to post at least one new pattern a week, to keep some momentum
going.

I like this one.

It seems like you're getting pretty good at this.

--
Tor Olav
http://subcube.com
https://github.com/t-o-k


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From: Bald Eagle
Subject: Re: Making Patterns with functions
Date: 13 Feb 2024 20:55:00
Message: <web.65cc1c56d81b84791f9dae3025979125@news.povray.org>
"Tor Olav Kristensen" <tor### [at] TOBEREMOVEDgmailcom> wrote:

> I like this one.

I do too, which is why I posted it.
It brought to mind the vintage Corelle plate rim pattern. (attached)

> It seems like you're getting pretty good at this.

I'm getting a bit better at finding interesting patterns and translating them
from other languages/syntaxes.

I still have a devil of a time with some of them.
Some I can't get to work at all, especially if I have to make lines, use x and y
at the same time, or try to make a parametric function based on atan2(y, x).

I'm also trying to figure out why sometimes I only get a partial pattern.
But they _are_ more than formless grayscale vomit, so there is definitely some
progress.

When I understand WHY things work or don't, and know enough to fix them, then I
will be lots better.

When I can invent such functions on my own, then I will be good.

But that was half of the goal of this - to try implementing so many functions
that eventually I found changes that worked, and could be applied to others that
failed, and iteratively get better.

I'm almost at 200 functions, and at some point I'll have (temporarily) run out
of patterns to copy, and can start investigating variations and combinations.

There also seems to be various common methods for making patterns, and perhaps I
can distill them all down into several macros to make rendering each method a
little easier.

Thank you as always for your interest, tutelage, and encouragement.  :)
- BW


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From: Bald Eagle
Subject: Re: Making Patterns with functions
Date: 13 Feb 2024 21:05:00
Message: <web.65cc1f5ed81b84791f9dae3025979125@news.povray.org>
Here's one to torture your eyes.  :P


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From: Bald Eagle
Subject: Re: Making Patterns with functions
Date: 13 Feb 2024 22:25:00
Message: <web.65cc3266d81b84791f9dae3025979125@news.povray.org>
This one's sort of like dice.

mod (floor(x)+floor(y), 2) somehow is NOT the same as even (floor(x)+floor(y))

IIRC, Bill Pokorny mentioned something about how floor isn't quite "right".

anyway, this is the last one for the night.

- BW


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From: kurtz le pirate
Subject: Re: Making Patterns with functions
Date: 14 Feb 2024 03:59:04
Message: <65cc80d8$1@news.povray.org>
On 13/02/2024 00:46, Bald Eagle wrote:
> Hopefully we can get a few new patterns posted in this thread, and I'm going to
> try to post at least one new pattern a week, to keep some momentum going.



Excellent work! Congratulations

-- 
Kurtz le pirate
Compagnie de la Banquise


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From: William F Pokorny
Subject: Re: Making Patterns with functions
Date: 14 Feb 2024 07:19:14
Message: <65ccafc2$1@news.povray.org>
On 2/13/24 21:03, Bald Eagle wrote:
> Here's one to torture your eyes.  :P

It does dance around! :-)

Bill P.


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From: William F Pokorny
Subject: Re: Making Patterns with functions
Date: 14 Feb 2024 07:29:09
Message: <65ccb215$1@news.povray.org>
On 2/13/24 22:24, Bald Eagle wrote:
> IIRC, Bill Pokorny mentioned something about how floor isn't quite "right".

IICRC... Rings a bell.

With yuqk, I do remember changing the code which creates the 0-1 ramp 
wave - in official POV-Ray there is some hard coded magic which 
sometimes causes trouble if one hits the right (wrong) values.

There is too some hard code clamping of values coming from functions 
into the pattern mechanism that I removed. However, this bit, from your 
results, I would say you are already avoiding. (That you are limiting 
your function() values into the pattern mechanism to 0-1 or >0.0 ranges)

Bill P.


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From: Alain Martel
Subject: Re: Making Patterns with functions
Date: 14 Feb 2024 09:47:19
Message: <65ccd277$1@news.povray.org>
Le 2024-02-13 à 21:03, Bald Eagle a écrit :
> Here's one to torture your eyes.  :P
It moves.
There are colour spots popping everywhere.
It shakes.


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From: Alain Martel
Subject: Re: Making Patterns with functions
Date: 14 Feb 2024 09:48:33
Message: <65ccd2c1$1@news.povray.org>
Le 2024-02-13 à 22:24, Bald Eagle a écrit :
> This one's sort of like dice.
> 
> mod (floor(x)+floor(y), 2) somehow is NOT the same as even (floor(x)+floor(y))
> 
> IIRC, Bill Pokorny mentioned something about how floor isn't quite "right".
> 
> anyway, this is the last one for the night.
> 
> - BW
Another that play tricks with your eyes...


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From: Bald Eagle
Subject: Re: Making Patterns with functions
Date: 14 Feb 2024 20:50:00
Message: <web.65cd6cdcd81b84791f9dae3025979125@news.povray.org>
This is very similar in concept to the Voronoi pattern, and indeed, if the
"annular rings" are fine enough, one gets the visual impression of Voronoi cells
filled with a concentric ring pattern.

I just did this for fun, to illustrate a practical pattern to use for ripples in
water, malachite, rhodochrosite, wood, "jawbreaker" candies, etc, and to
implement an example that makes use of splines, loops, pseudorandom numbers, and
a discrete set of "basis functions" that are evaluated "en-masse".

Enjoy the "bubbles".

(Speaking of which, this could be a fun one to apply iridescence to...)

I'd have to think about how to vary the "radius" of each seed point, and then
apply the true bubble intersection formula to get a nice foam cross-section.
Foam isosurface, anyone?

- BE


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