Dragon curve

407

04:02:53

Fractal 🐉 using gates. Iterates to 7 folds and then in reverse, there's enough circuit space for more iterations but the oscilloscope trace is too short

What's a dragon curve 
https://www.google.com/search?q=dragon+curve


Hilbert curve
https://everycircuit.com/circuit/4796901781929984

I'll try give a break down of how the circuit does it if anyone interested?

published 2 years ago

592azy2circuitdude

2 years ago

Interesting. Fractals are somewhat beyond my knowledge right now, but it sure looks swell.

roops1967

2 years ago

This video will help it's the first I saw about it, watch it you'll see dragon curve are deceivingly simple, maybe try making a paper dragon like in the vid, have a ponder of what's happening and I'm sure you'll come up with your own solution / algorithm 😉 https://youtu.be/wCyC-K_PnRY?si=Bd93BnhOZnaHjalD

592azy2circuitdude

2 years ago

Great resource 👍. I feel like I have a better understanding. Yes, I tried folding the dragon curve out of paper. I used long strips of Christmas wrapping paper. It looked really swell!

roops1967

2 years ago

Great stuff! It's amazing to see how seemingly complex patterns arise from simple rules. Good idea using wrapping paper it's thin, how many folds did you achieve? I tried with copier paper and it gets tough after 5 folds, the peaks and valleys gets less defined. You may have heard that folding paper would reach the highest mountain 🏔️ with 27 folds and the moon 🌙 with 42 folds 🤯

592azy2circuitdude

2 years ago

I managed to get 7 folds. It's amazing that with 42 folds, the paper would reach the moon! I suppose that could be because the paper length is cut in half with every fold. So, that would mean the length would have to be multiplied by 2 for each fold, growing like an exponential (I think...)

roops1967

2 years ago

Yup each fold is doubling the height exponentially. Moon distance 384,400km, 42 folds is 2^42 x 0.1mm(paper thickness) will be 439,804km high and (I guess) a few carbon atoms across depending on the original paper size... crazy huh!

Somnia

2 years ago

fractal shape is impressive but trace is short

roops1967

2 years ago

Yeah there's nothing I can do about the trace length besides try speed up the circuit even more

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