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Author Topic: Sierpinski  (Read 2472 times)
Description: Polygons - not only triangles
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p.e.t.er
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« on: April 18, 2012, 01:54:07 PM »

Is there anyone who has created Sierpinski polygons with 3 to unlimited corners with the Chaos method?

Some examples from me:

https://docs.google.com/open?id=0B4LFm50G3Vd-dWVLMm5FaDFTYmV0eWdGcXRmaTlFUQ
https://docs.google.com/open?id=0B4LFm50G3Vd-ZFdRXzNBb1FUYTZreDZ6ZFU4cjFIQQ
https://docs.google.com/open?id=0B4LFm50G3Vd-ZTg5RDRNN3NSOUdTRC1fR044czJadw
https://docs.google.com/open?id=0B4LFm50G3Vd-YVRzT25kcUxTQXVocnJvTjRNRzc1QQ
https://docs.google.com/open?id=0B4LFm50G3Vd-TUlHQUlqblBRWHVfVlFDM0QweFBRdw

/Peter
« Last Edit: April 18, 2012, 03:02:01 PM by p.e.t.er, Reason: Image links was broken » Logged
hobold
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« Reply #1 on: April 18, 2012, 02:21:40 PM »

I'm getting error 403 ("no permission to access") for your images.
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p.e.t.er
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« Reply #2 on: April 18, 2012, 03:04:49 PM »

I'm getting error 403 ("no permission to access") for your images.

I have replaced the image links with links to google docs. Hopefylly, it will work!
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hobold
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Posts: 459


« Reply #3 on: April 18, 2012, 10:46:17 PM »

I can see the images now. It seems to me that they are not fully analogous to the original Sierpinsky triangle. The 3 triangles are scaled such that they just about touch each other. But your images with squares, pentagons, hexagons ... have slightly smaller polygons.

And there is one more degree of freedom that you could explore (this is not a request, just a suggestion): the individual polygons could be rotated. This influences where and how they can touch each other, so consequently this also influences the size factor by which the polygons are scaled down in each iteration.
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cKleinhuis
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formerly known as 'Trifox'


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« Reply #4 on: April 19, 2012, 01:01:56 AM »

hello and welcome to the forums .. .damn it i have to start the tv show ... wait for it until competition starts!















just to clarify things ,.. cheesy
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divide and conquer - iterate and rule - chaos is No random!
p.e.t.er
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« Reply #5 on: April 19, 2012, 11:25:45 AM »

I am doing the polygons like this:

1 - Go to one random corner.
2 - Move some constant part of the distanse to one random corner and set a point there.
3 - Repeat from 2.

What I am trying to found out is the constant part to move to next random point.


n-gonpart
32
4?
5Golden Ratio  (1.168...)
61.5
7?
8square root of 2
9?
.?
.?
.?
Infinity1 (I think)
« Last Edit: April 19, 2012, 12:37:52 PM by p.e.t.er, Reason: Wrong value for hexagons (changed 1.6 to 1.5) » Logged
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