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Author Topic: My 3D Printed Fractals (Koch, Menger Sponge, Sierpinski, Peano, Tree...)  (Read 5868 times)
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tit_toinou
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« on: February 02, 2013, 05:25:50 PM »

Hi everyone !
Here is two fractals I made and printed smiley .

http://www.shapeways.com/model/857223/developing-koch-snowflake-fractal-with-holes.html





http://www.shapeways.com/model/857320/developing-koch-square-fractal-with-holes.html


« Last Edit: June 08, 2014, 06:57:00 PM by tit_toinou » Logged

bib
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« Reply #1 on: February 06, 2013, 11:55:01 AM »

Excellent!!
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Between order and disorder reigns a delicious moment. (Paul Valéry)
tit_toinou
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« Reply #2 on: March 03, 2013, 02:51:16 PM »

I'm back with two new fractals. This time they are square-filling (when the iteration goes to infinity).

Here is a modification of the Peano 2D curve :

http://www.shapeways.com/model/917212/wunderlich-peano-square-filling-fractal.html
This design is very flexible.

Here is the Sierpinski Curve :

Starting from a cross shape :


http://www.shapeways.com/model/910655/sierpinski-square-filling-fractal.html
« Last Edit: March 06, 2013, 10:51:27 AM by tit_toinou » Logged

slon_ru
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« Reply #3 on: March 03, 2013, 08:19:34 PM »

Cool!
What you use to make obj, M3D+fiji ?
br
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jehovajah
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« Reply #4 on: March 06, 2013, 07:17:40 AM »

Omg! It's like a dream! I go away for a few months and come back to catch up on the most amazing stuff!
This is ace! Crude now, but the potential we only dreamed of 4 years ago is taking real shape!
Good work!

I love this forum!
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May a trochoid of ¥h¶h iteratively entrain your Logos Response transforming into iridescent fractals of orgasmic delight and joy, with kindness, peace and gratitude at all scales within your experience. I beg of you to enrich others as you have been enriched, in vorticose pulsations of extravagance!
tit_toinou
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« Reply #5 on: March 06, 2013, 10:49:17 AM »

Thanks!

Well I use my own software written in C# with Visual Studio.

The red fractal is quite interesting.


It is a swastika developing into 9 shapes.
You can observe 4 swastika on a diagonal and 4 sauwastika on the other diagonal.
On the middle you have a big H.
On the top and bottom middle you have two tridents.

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tit_toinou
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« Reply #6 on: April 03, 2013, 06:33:25 PM »

A new fractal (classic one) :





I made others models but I can't afford to print them.
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tit_toinou
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« Reply #7 on: April 18, 2013, 03:38:21 PM »

A new Fractal Tree !

http://www.shapeways.com/model/973953/arbuste.html




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bib
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« Reply #8 on: April 18, 2013, 03:53:46 PM »

Very nice! Interesting to see the similarities between your work and Henry Segerman's


http://blogs.smithsonianmag.com/artscience/2013/03/fresh-off-the-3d-printer-henry-segermans-mathematical-sculptures/
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Between order and disorder reigns a delicious moment. (Paul Valéry)
tit_toinou
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« Reply #9 on: April 18, 2013, 04:08:34 PM »

Yeah he inspired me (not for the tree) ! I made the model he didn't do. My holes are bigger so my objects are cheaper. I also plan to do a Gosper Curve (maybe).
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tit_toinou
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« Reply #10 on: June 08, 2014, 06:48:26 PM »

Hi everyone!

I've printed new models.

Diamant de Sierpinski, A bigger version of the tetrahedron, but this time with a square base + a reflection + more iteration :





Eponge de Menger de degré 7, an emptier version of the Menger sponge :




Fractale Pharmacie, a cross-shaped fractal (from the same algorithm of menger sponge) :


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LMarkoya
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« Reply #11 on: June 08, 2014, 11:09:14 PM »

Beautiful stuff
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slon_ru
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« Reply #12 on: June 09, 2014, 03:42:30 AM »

Cool!  A Beer Cup
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rlbagulatftn@yahoo.com
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« Reply #13 on: July 04, 2014, 07:06:43 PM »

There is no standard naming system for Sierpinski -Menger sets that I know of.
I did a search and this post came up. I found two type  just the last two days that I'll upload pictures of:
Doublebee Menger cube 9x9x9:
and
Dublebee Sierpinski gasket Prism 4x4x4 (today):


* DoublebeeSierpinskiWedgeMengercube_444Level3.png (221.21 KB, 1000x978 - viewed 781 times.)
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Roger Bagula
tit_toinou
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« Reply #14 on: July 05, 2014, 01:24:39 AM »

Hi !
I like your model do you have it in 3D (like in .stl) ?
This kind of fractal is very easy to produce by dividing a cube into n^3 little cubes and deciding in which of these cubes to continue the fractal.
I've made a lot of these kind of fractals in 3D but unfortunately I can't print them all.
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