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Something reminded me of this graphic that I'd seen about 20 years ago when
I was attending an ACM symposium. When I got back to my office, I coded it
up in Fortran and printed it on a Calcomp plotter. Yeah, shows my age, but
isn't it still an amazing eye trick? I tried using various textures and
lighting schemes with POV, but it seems to work best as a simple B/W image
and orthographic perspective. Anyone want a wallpaper version?
-- Dave
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Attachments:
Download 'ACMIllusionSm.jpg' (122 KB)
Preview of image 'ACMIllusionSm.jpg'
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I liked very much the optical illusion it creates!
Fernando.
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Hey! Stop trying to hipnotize people!!! :D
Kool but weird stuff. Can't stand looking at it for more than some seconds
at a time. :P
Ever thought on doing an animated version of it?
Best regards.
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What an elegant and simple algorithm! I can see that all you need is a
simple rule: from a starting position, generate n cells such that from cell 0
to cell n/2, you make a 90 degree turn in uniform steps, then "unturn" the same
way until n.
Once the first row is done, use each cell as the seed for the column using
the same algorithm. I like it!
Cheers!
Chip Shults
My robotics, space and CGI web page - http://home.cfl.rr.com/aichip
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That's a directional field for a differential equation, and it is
very cool. What is the equation for it? I'd like to know because I have
played with differential equations on povray a bit too. The attached image
(54.7 kb) is an example of output from my system of diff-eq d-field plotting
script, with all of the showy features activated. The equations are:
x_prime = Y-cos(X); y_prime = X-Y; What do you think?
-Ben Scheele
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Attachments:
Download 'dfield2.jpg' (55 KB)
Preview of image 'dfield2.jpg'
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thats pretty cool. definately math textbook cover worthy
"Ben T. Scheele" <sch### [at] tc umnedu> wrote in message
news:3df414a7@news.povray.org...
> That's a directional field for a differential equation, and it is
> very cool. What is the equation for it? I'd like to know because I have
> played with differential equations on povray a bit too. The attached
image
> (54.7 kb) is an example of output from my system of diff-eq d-field
plotting
> script, with all of the showy features activated. The equations are:
> x_prime = Y-cos(X); y_prime = X-Y; What do you think?
>
> -Ben Scheele
>
>
>
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Ben T. Scheele wrote:
> That's a directional field for a differential equation, and it is
>very cool. What is the equation for it?
I'm just guessing but y' = -arccot(|x| + |y|) would fit.
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"Fernando Gonzalez del Cueto" <fgd### [at] hotmailcom> wrote in message
news:3df3f056$1@news.povray.org...
> I liked very much the optical illusion it creates!
>
Which is what?
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Wow, thanks. Most of my math textbooks just have pictures of odd
architecture with lots of glass, and that's just fine. It's the grade
school math textbook covers that need cooler graphics. I guess they need a
lot more than that, but third graders don't usually study differential
equations, after all. Thanks again.
-Ben Scheele
"Ross Litscher" <lit### [at] osuedu> wrote in message
news:3df421f0$1@news.povray.org...
> thats pretty cool. definately math textbook cover worthy
>
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Thanks, but I can't seem to figure out how to make that work. All I
could get was this. No, just kidding. But in povray, the fuction for
arctan is kind of confusing. I have two versions of plotters, one that uses
dx/dt and one that uses dy/dx. I'll just have to wait for David's
explanation I guess.
-Ben Scheele
"Mack Tuesday" <mailbjl@yahoo> wrote in message
news:web.3df456428451b87c54f5973f0@news.povray.org...
> Ben T. Scheele wrote:
> > That's a directional field for a differential equation, and it is
> >very cool. What is the equation for it?
>
> I'm just guessing but y' = -arccot(|x| + |y|) would fit.
>
Post a reply to this message
Attachments:
Download 'dfield2d pbi example.jpg' (58 KB)
Preview of image 'dfield2d pbi example.jpg'
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