Here are two-piece acrylic Sierpinski triangle designs. The engraved 5th-order classic Sierpinski triangle design, constructed in Inkscape, is made to be free-standing, as is the 4th-order Cat design with [(3^N)-1]/2 = 40 cats in the clowder. Modifying either design to a single Sierpinski triangle with base to fit in an edge-lit LED fixture would display colors. The cat design might be used for a Halloween display having a TOP KITTY character.
Remember to check the acrylic thickness and adjust the slot dimensions and kerf accordingly.
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Stunning. Thank you!
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Love this…thanks!
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that’s so cool! Thank you for the designs. (The purrfect gift for my cat sitter.)
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Interesting share. As always, thank you.
Tempted to put a pumpkin and turkey in the triangles for a trifecta. We will see…
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Using any object instead of a cat is easy to make. I used a bit-mapped photo of my friend’s cat for another choice and a dog for another. Your idea to use three Halloween figures is nice.
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Hey, thanks! Learned something new today.
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Very nice design!
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Interesting! Great share! Thanks.
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Nice
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Wow, thank you so much! My mom will love this!
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Awesome, thank you!
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Very cute! Thank you for sharing. 
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Cool Christmas tree! Love fractals in all forms!
I experimented with Sierpinski Carpets on my Glowforge ~4 years ago…
This Christmas I went 3D with a Order 5 Sierpinski Pyramid on my Original Prusa MK3S+. It was a 25-hour print. The fine detail at Order 5 is mesmerizing—and transparent.
Maybe I need to add a Christmas star on top like you did! 
The 3D models are here.
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Beautiful experiment. That 3D version is amazing!
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I’ve been fascinated by fractals for a long time (and I mean long). back in the late 1980’s I would lock up my computer for days to create one fractal image. Now I have an app on my phone that will create higher resolution, deeper fractal image in a matter of seconds.
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My daughter will be traveling over the next year at least, so I can have her pack the cat tree in her luggage so she’ll have a tree where ever she is. Love this. Thank you.
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