Fractal Recipes for Programmable Matter, Did Carol Marcus know the Recipe?

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Credit: Nicolas Desprez CC BY-SA 3.0

Iterated Function Systems

In a previous article examining the possible relationship between programmable matter as described in Star Trek: Discovery and the underlying nature of spacetime as a continually rewriting hypergraph structure I volunteered that it reminded me of iterated function systems (IFS) as method of constructing fractal objects.

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Credit: Wikipedia (Public Domain)
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Credit: Gareth Branwyn from (Math Monday — The Sierpinski Tetrahedron)
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Credit: Intellectual Bookworm CC BY-SA 3.0

Simple Equations, Complex Objects³

As you can imagine an infinite number of images may be constructed using an arbitrary number of equations and equally an arbitrary selection of their coefficients. In any number of dimensions.

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Credit: ViacomCBS under Fair Use

Fractally Programmable Spacetime

If we consider that at some future point we may be able to manipulate underlying spacetime directly by interacting with its underlying hypergraph a tantalising range of possibilities opens up.

Way too involved with software, likes maths, loves . Prefers to be in academia. SpaceX, Twitter, and Overwatch fan. Coffee? https://ko-fi.com/fractaldoctor

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