SIERPINSKI TRANGLES

[Bent-Winged Angel]

I have recently become fascinated with them.  Really interested in seeing what others would do with them.

[Lorenzo]

I also love the Sierpinski fractal construct.  Here's a few of the one's I've created in the past few years: http://www.flickr.com/search/?q=sierpinski&w=32286042%40N00&z=e. Regards,  Manny

[Bent-Winged Angel]

Thanks so much Lorenzo! Gave me some great ideas!  I have just tipped on the iceburg.  Soo New to this.  Also interested in process.  Always stayed away from math.  lol  What programs?  Do you write your own?  I just found them on Chaspro.  Took out a few shears etc. hear & there. Added a swirl or something.

[Sockratease]

Fun with Mandelbulb 3D



Huge version - http://www.sockrateaze.com/stuff/bnr.png

[Bent-Winged Angel]

Socko you made that with mandelbulb?  How annoying are you  I trying to figure out sierpinskies with chaospro. Also trying to see the limitations I have with that program. Any advice is welcome.  BTW what's the difference between a sponge, menger?

[Sockratease]

Socko you made that with mandelbulb?  How annoying are you 

Thanks   

I'm actually Far more annoying in person.  That's why Lissa keeps me caged.  At least I get a computer in here.

I know there's a better explanation, but very basically - Menger stuff is squares, while Sierpinski stuff is triangles.

Now we can await a more expert explanation...

[Bent-Winged Angel]

Then a sierpinski menger is triangles that make  a square.  Sponge?

[FractalFoundation]

Wow I love Sierpinski Triangles too!
Here in New Mexico we started a program to teach school children how to draw them, and then we combine their little triangles into ever larger triangles. Last March, we built the world's largest one, a 6th order version, made of 2187 triangles. Most were made in NM, but many came from all over, including over 200 from Australia.


Here's a timelapse video of the assembling of the giant triangle:
<a href="http://www.youtube.com/v/6BabkJYmBCA&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/6BabkJYmBCA&rel=1&fs=1&hd=1</a>

Here's a few more pix: http://fractalfoundation.org/2010/03/fractal-trianglethon-a-giant-success/
And if any of you want to participate and teach children to make them and contribute to the next, even larger one,  the lesson plan is available here:
http://fractalfoundation.org/resources/fractivities/sierpinski-triangle/
The one you see here is 96' on a side. We have over 4000 already, so we're well on our way to breaking our own record, with the next one that will have 6561 triangles and be 192' on a side...
Fun!!!

Thanks,

[Bent-Winged Angel]

That is a great way to learn!  I noticed that some of mine look like quilt pieces.

[kram1032]

there actually is a variant that mixes squares with triangles

It's like a roof: On the ends, it's two equilateral triangles, on the sides, it's two squares. - that's the menger sierp

[Bent-Winged Angel]

This is interesting..  http://local.wasp.uwa.edu.au/~pbourke/fractals/gasket/

Now I'm starting to work with ifs system.. putting the pieces together like a puzzle or quilt.

[Bent-Winged Angel]

I think I've finally learned how to think "inside the box"  I've always tended to do things backwards!   Also thanks to bib for encouraging me to try Mandelbulb3d.  That program made things much easier than I thought they would be. 

[kek]

Everybody had an sierpinski fractal antenna in their mobile phone.

http://www.scienceprog.com/fractal-antenna-constructions/


http://hireme.geek.nz/ATSC-8VSB-fractal-antenna.html

[chenchen21621]

Here in New Mexico we started a program to teach school children how to draw them, and then we combine their little triangles into ever larger triangles.
 





MODERATOR EDIT :  It's nice that you contributed to the discussion, but I removed your spam link for watches!  Please do not use this forum in that manner unless you arrange a proper link exchange and get permission First!  Thanks.

[Thunderwave]

I one that was using Menger and it came out as Triangles,
Here's the image I rendered: