Coral growth with single sheet surface

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Hello all,

I'm generating the following geometry similar to corals growth. I'm having two problems:
1-Creating the same surface with zero width (single sheet).
2-Make the growth only in one direction.

Your help is appreciated
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Here you have Some Nice ex
https://forums.odforce.net/topic/25534-differential-curve-growth/?page=8 [forums.odforce.net]
https://forums.odforce.net/topic/1924-l-system-madness/ [forums.odforce.net]

Books
http://algorithmicbotany.org/papers/ [algorithmicbotany.org]
L-system Basic
https://www.houdinikitchen.net/2019/12/23/l-systems-node/ [www.houdinikitchen.net]

I would recommend that you Stick with L-system and Metaballs you can Build everything that grows from Nature in that System ..
And if you need Help with L-system I'm here .
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