Programmable matter

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Definition taken from Wikipedia:
Programmable matter is matter which has the ability to change its physical properties (shape, density, moduli, conductivity, optical properties, etc.) in a programmable fashion, based upon user input or autonomous sensing. Programmable matter is thus linked to the concept of a material which inherently has the ability to perform information processing.

An alternate name for more advanced stages could be Digital matter:
Programmable (meta)materials that feature notably deep digital control over matter

Delineation to other concepts

Materializable programs:
Systems so incredibly advanced that code and technological artifact becomes intimately interwoven
through direct manipulation via super intuitive projectional editing interfaces.
Note that this does not necessarily (and most often likely will not) mean ultra distributed computing in cellular automata.
Abstraction levels in higher dimensional spaces (not referring to AI latent spaces here).
Related: Naive groupings as dumbed down functions, Grouping of geometries

Cellular matter
The thinking and computing is deeply and locally ingrained in the matter too. Physical cellular automata.

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