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Challenge #420: The Sierpinski Triangle

ed_hayter
12 - Quasar

Great challenge to learn that ST_RandomPoint() is a function that can be used in the formula tool.

 

image.pngimage.png

sergejs_kutkovics
9 - Comet

My try :) This was a great challenge, thank you, @RWvanLeeuwen!

I also didn't know about ST_RandomPoint function.

Spoiler
WorkflowWorkflowMacroMacroOutputOutput
alexnajm
17 - Castor
17 - Castor

Upped it to 10K iterations to make it show better - what an interesting phenomenon!

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Challenge 420.png
RWvanLeeuwen
11 - Bolide

I love it when math becomes beautiful

 

Here's my take:

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Workflow:
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420 workflow.png

Macro:
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420 macro 69 RWvL.png
JasperMB
8 - Asteroid
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Challenge #420_JB.png

Pilsner
10 - Fireball

Great challenge, I love the mathematical element.

My solution:

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The container contains the tools I had in the macro:
420.png
 The picture was run with 10k iterations:

420 results.png

  

olga_strubbe
11 - Bolide

Thank you,  @RWvanLeeuwen!

This was a unique and interesting challenge. I did not know how the Sierpinski triangle is built until now.  Thanks for sharing. 

I leveraged your approach in building my solution. 

 

Output with 1,000 new data points: 

piic.png

Workflow: 

flow.png

 

Iterative macro: 

macro.png

 

olga_strubbe
11 - Bolide

sorry, I forgot to include the workflow & macro, here they are.

nSpire
9 - Comet
Spoiler
420.png
AkimasaKajitani
17 - Castor
17 - Castor

My solution. I created it using my own approach focused on creating the Sierpinski Triangle without following the start file text.

 

Spoiler
I don't use the random function. I created three triangles from one triangle and processed them recursively.

スクリーンショット 2024-04-07 212239.png


スクリーンショット 2024-04-07 212534.png


スクリーンショット 2024-04-07 212105.png

This sample output is made from repeating 10 times.