Software

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probably start with more regular stuff like

I don't know of any software but here's some book recommendations.

This book looks promising. I've folded a few models from it that I've found around the internet and intend to buy it one day.
https://www.amazon.com/Origami-Tessellations-Awe-Inspiring-Geometric-Designs/dp/1568814518

I have this one and enjoy it for basic tessellation techniques but you might be looking for something more advanced. All of Jackson's books are great.
https://www.amazon.com/Folding-Techniques-Designers-Sheet-Form/dp/1856697215/

Those two books should lead to other worthwhile recommendations by Amazon.

What makes you want to get deeply into origami tessellations?

>>549258
I bought Eric Gjerde's book years ago and always thought tessellations were badass. I've been folding origami long before that and now I want to really get into origami design in general and hopefully understand all the underlying math.

I actually filled out a purchase request for the Jackson book at my uni library, hopefully they'll follow through with it, I've been wanting that one for a while.

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>>549256
I would suggest looking into specific libraries used for Java.

Maybe a math or engineering library used to model structures.

Unfortunately i can't point you to a place to start

But there is this YouTube video about the hardcore math of origami:
https://youtu.be/G5HUuCB8XWM