ITERATED FUNCTION SYSTEM
INTO THE CONTINUUM
MATHEMATICA
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source: intothecontinuumtumblr

a perspective on mathematics, the pattern, and the abstract

Consider a 2-coloring of some region and its complement:

They are the same except that the black and white colors have been interchanged. Recall that these are the only possible 2-colorings for this partition.

By construction, for any planar 2-coloring, if the two images are displayed at the same time by overlaying the two images and treating white as a transparent color, then a region in all black results

… nothing too interesting.

Instead, displaying the two images in rapid succession creates a dynamic strobe effect.

Its like you can start with nothing, divide it into things which are still and inert when taken individually, yet end up with something dynamic and alive when taken together.

Mathematica code:

F[ a_, s_, p_] :=
Table[
Graphics[
GraphicsComplex[
Table[
{-Sin[n*a], Cos[n*a]}, {n, 0, s}],
{If[G == 1, White, Black], Polygon[Table[i, {i, 1, s, 1}]]}],
PlotRange -> p, ImageSize -> 500,
Background -> If[G == 0, White, Black]],
{G, {0, 1}}]

Manipulate[
F[ a, s, p],
{{p, 1}, .0001, 1, .001}, {{a, 2.8}, 0.001, 4Pi, .00001}, {{s, 300}, 1, 1000, 1}]

ListAnimate[F[a, s, p], 20, AnimationRunning->False]
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source: maihudsontumblr

Each animated GIF consists of only 2 frames constructed entirely with straight lines and colored black and white. The second frame results from the first by inverting or interchanging the two colors.
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source: maihudsontumblr

MAI + t selects one Tumblr blogger per month to take creative control over the MAI Tumblr.

Each collaborator creates a unique visual think-tank, comprised of images, GIFs, and videos. Collaborators are also encouraged to curate submitted posts, forming their own communities along the way.

Read more about the project and an interview with Tumblr’s Fashion Evangelist, Valentine Uhovski here.

MAI + t is an ongoing project presented by Marina Abramovic Institute and Tumblr

Marina Abramovic Institute is a performance and education organization, presenting traveling exhibitions and the Abramovic Method.