Iridiation of (algebraic|transcendental) varieties and strange attractors.

Suppose I have an algebraic variety G in \mathbb{R}^{n} — or a strange attractor X in \mathbb{R}^{3}, and to each point of $G$ or $X$ I associate a unit sphere — in the case of $latex{R}^{3}$ I could use Riemann spheres at each point u of X or G, and then say: okay, when I make visualizations of G or X, the color I see from the vantage point I’m looking at the variety or strange attractor is the phase/hue whatnot I get when I take some function f:\mathbb{C}\rightarrow\mathbb{C}: every point has a sphere associated with it, colored by phase of f_{u}

Terminology: if it’s a variety, we call them iridiated varieties or iridovarieties.

The inverse (or adjoint functor if you will) should be called bleaching.

And is the right word here: these are objects whose appearance changes as you change the angle that you’re looking at them.


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