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Fractals: The Pythagoras tree |

Автор: Beauty In Math

Загружено: 2025-05-08

Просмотров: 1452

Описание: In this video I show how to construct a Pythagoras fractal tree 🌲 in GeoGebra. Have fun!

Notes:
‣ At 3:03 I meant to say for the left-side angle "defined by the points C, D and F". 😅
‣ Also at 5:37 I have a typo in the code. It should be:
All = IterationList(Flatten(Zip(Grow(sq, t), sq, level)), level, {{s}}, n)

If you have issues with the commands, let me know in the comments and share the link of your ggb file. Maybe I can help. 😃

Live demos:
‣ Step 1 https://www.geogebra.org/m/qyzkb2b8
‣ Step 2 https://www.geogebra.org/m/yu6zgjgv
‣ Step 3 https://www.geogebra.org/m/anpda9wb

All together:
‣ https://www.geogebra.org/m/rrpc2rrm

Another video about the IterationList command to build a fractal tree:
‣    • How to make a fractal tree in GeoGebra?  

‪@SparksMaths‬ has more examples to build fractals, using the same technique I used in this video. I highly recomend you to check them out:
‣    • Iteration and IterationList Commands - Sie...  
‣    • Sierpinski Carpet - GeoGebra Build  
‣    • Dragon Curve Fractal - Live GeoGebra Build  

‪@bancoche‬ has also a couple of examples to build fractals. I also highly recomend you check them out:
‣    • Floc i Antifloc de neu  
‣    • Fractal de Koch  

❤️ Support the channel on Patreon
  / jcponce  
Or PayPal
https://paypal.me/jcarlosponce/
Or get a T-shirt
https://jcponcemath.secure-decoration...

For more projects visit:
https://www.jcponce.com/

Music by: bensound.com
Artist: Benjamin Tissot
License code: EVHDLCRWT7Q9RRBZ

∞ Thanks to all Patrons:
Edward Huff, Abei, pmbem, Sophia Wood, Adam Parrott, bleh, Miguel Díaz, Maciej Lasota, Christopher-Alexander Hermanns, Aarón Reyes, Gabriela Sofia Marin Sánchez, Jerome Siegler, Yashar Shoraka, Jeff Butterworth, Shaun MacMillan, Scott Pedersen, Elias Sanchez Angarano, smurf, Sarah Gelsinger Brewer.

#geogebra #fractal #visualization #mathart

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