The Golden spiral is an important part of global art: https://en.wikipedia.org/wiki/Golden_ratio
In 1998, Vera W. de Spinadel described the Metallic Mean Family, a [n;n,n,n,...] continued fraction generalization of the Golden spiral: https://en.wikipedia.org/wiki/Metallic_mean
=> This workshop will explore how you can use a Pythagorean theorem generalization of the Metallic Mean Family to make your own spirals out of any rectangle, including png/jpg images.
We'll use this Alchemy repo to make the animations: https://github.com/bestape/alchemy
As we learn how to use the Alchemy repo, we'll discuss the STEAM values of "nonhalting" (c-b)/a mathematics.
Fork the https://github.com/bestape/alchemy repo and make something interesting out of it! Or, use the (c-b)/a system in another project, either digital or physical.
How will you deal with varying numbers of participants in your session?:I'll discuss if the number is low and I'll teach if the number is high. I'll ask if participants are comfortable with downloading a repo, editing JSON and running a CLI program. If any of them are comfortable, I'll get those people to participate. All are welcome to chat about the implications of the mathart, especially from their unique perspectives/disciplines.
What is the goal and/or outcome of your session?:I hope other people are inspired to use (c-b)/a in their work. I'm most excited to see the ways people will use it that I haven't imagined. That, and getting social media tagged in cool Alchemy-based mathart generated by the community (my handle is @bestape on most platforms).
Founder/CEO/Inventor, B.B.A., J.D.
SeedTreeDB: JavaScript made easy => JSON-like 'syntax' and patent pending 'kernel' module. (Automated/script database).