Sierpinski

[p.e.t.er]

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

[hobold]

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

[p.e.t.er]

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!

[hobold]

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.

[cKleinhuis]

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 ,..

[p.e.t.er]

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-gon	part
3	2
4	?
5	Golden Ratio  (1.168...)
6	1.5
7	?
8	square root of 2
9	?
.	?
.	?
.	?
Infinity	1 (I think)