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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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Attachments:
Download 'mathpatterns1.png' (145 KB)
Preview of image 'mathpatterns1.png'
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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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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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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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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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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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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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Attachments:
Download 'mathpatterns1.png' (704 KB)
Preview of image 'mathpatterns1.png'
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Triply Periodic Minimal Surface
left - open
right - closed
plane - pigment {function {TPMS}}
This one is called "SplitP"
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Download 'implicitlattice.png' (711 KB)
Preview of image 'implicitlattice.png'
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hi,
"Bald Eagle" <cre### [at] netscape net> wrote:
> ...
> plane - pigment {function {TPMS}}
v nice. I bet it would be "lush" as a woven fabric/cloth.
(light-green with envy :-))
regards, jr.
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"jr" <cre### [at] gmailcom> wrote:
> v nice. I bet it would be "lush" as a woven fabric/cloth.
There's a better one for that, I think - the "Honeycomb" that I found in a
paper.
Kinda looks like a "dog bone" wood patch that alternates in directions like a
checkerboard.
A lot of these are, incidentally, used for support-fill for 3D printing
applications - so Kenneth may have a very practical interest.
Since they can partition space into 2 parts acting as a membrane in between,
when they are given thickness and made of metal, they are being evaluated as
heat-transfer devices, very much like a car radiator works.
The key factor being the very high surface area able to be contained in a very
small space.
> (light-green with envy :-))
You shouldn't be. You can copy-paste equations as well as I can. :P
- BW
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