Sierpinski Triangle

Paul Barton shared this question 9 years ago
Answered

Sorry I did not add this to the previous posting on the Sierpinski triangle but that posting appears to be locked.


I am not sure what counts as an iteration but I think this file is capable of creating 8 iterations. I'll let you be the judge of that. Be aware that on my computer, iteration 6 to 7 took about 20 seconds and iteration 7 to 8 took about 2 minutes. On attempting iteration 9 my computer crashed.


I have used a different approach, from that demonstrated in the earlier post, to create each iteration. I used some buttons with scripting that employs execute and sequence commands.


Cheers

Paul

https://ggbm.at/558017

Comments (7)

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Paul,


For me on a 1280x800 resolution screen, six iterations is the maximum viewable.


Here is a version that is created by random points :) http://www.geogebratube.org...


Simon

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Hi slik,

Thanks for checking it out.


Ahah, I agree that 6 iterations is the maximum viewable to still be able to see the whole of original triangle. You'd need extremely good eye sight to see more than 6 iterations without zooming. However, with zooming in you can see that iterations 7 and 8 have been calculated correctly. So at least iterations 7 and 8 maybe calculated.


Cheers

Paul

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It's strange, but the topic is really locked


http://www.geogebra.org/for...


I couldn't properly use your file. There's a problem about the list's name when I try to use the iteration. I'm using GeoGebra 4.0.40.0

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I couldn't properly use your file. There's a problem about the list's name when I try to use the iteration.


Switch language to UK or Australian English (the scripts use eg Enlarge rather than Dilate)

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Thank you murkle and congratulation Paul Barton! Your way is the best way I've seen for Sierpisnki! Is lighter than my file!

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Here is an improved version that doesn't fade at the higher iterations.

Same caveats as before. Be patient to get to iteration 8 and zoom in to see the small triangles of the 8th iteration.

Cheers

Paul

https://ggbm.at/558021

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hello

old, really old, works

http://www.geogebra.org/for...


saludos

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