Luciferizing


Post-Performative Post-Scriptum

The toxic title of this incendiary intervention is supposed to be understood such that the verb “Lucíferizing” (acting like Lucifer, turning into Lucifer, etc) has an echo of “Lúcifer Rising”. Lucifer, or “Light-Bearer”, is also a name for the planet Venus, which is rising in the image of the foredawn sky.

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In “Dissing the Diamond” I looked at some of the fractals I found by selecting lines from a dissected diamonds. Here’s another of those fractals:

Fractal from dissected diamond


It’s a distorted and incomplete version of the hourglass fractal:

Hourglass fractal


Here’s how to create the distorted form of the hourglass fractal:

Distorted hourglass from dissected diamond (stage 1)


Distorted hourglass #2


Distorted hourglass #3


Distorted hourglass #4


Distorted hourglass #5


Distorted hourglass #6


Distorted hourglass #7


Distorted hourglass #8


Distorted hourglass #9


Distorted hourglass #10


Distorted hourglass (animated)


When I de-distorted and doubled the dissected-diamond method, I got this:

Hourglass fractal #1


Hourglass fractal #2


Hourglass fractal #3


Hourglass fractal #4


Hourglass fractal #5


Hourglass fractal #6


Hourglass fractal #7


Hourglass fractal #8


Hourglass fractal #9


Hourglass fractal #10


Hourglass fractal (animated)


Elsewhere other-engageable:

 

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Carved Cascade

Woodcut of a waterfall by Reynolds Stone (1909-79)


It’s the wrong kind of waterfall to go with this passage from Nietzsche, but that can’t be helped dot dot dot colon

Am Wasserfall. — Beim Anblick eines Wasserfalles meinen wir in den zahllosen Biegungen, Schlängelungen, Brechungen der Wellen Freiheit des Willens und Belieben zu sehen; aber Alles ist nothwendig, jede Bewegung mathematisch auszurechnen. So ist es auch bei den menschlichen Handlungen; man müsste jede einzelne Handlung vorher ausrechnen können, wenn man allwissend wäre, ebenso jeden Fortschritt der Erkenntniss, jeden Irrthum, jede Bosheit. Der Handelnde selbst steckt freilich in der Illusion der Willkür; wenn in einem Augenblick das Rad der Welt still stände und ein allwissender, rechnender Verstand da wäre, um diese Pausen zu benützen, so könnte er bis in die fernsten Zeiten die Zukunft jedes Wesens weitererzählen und jede Spur bezeichnen, auf der jenes Rad noch rollen wird. Die Täuschung des Handelnden über sich, die Annahme des freien Willens, gehört mit hinein in diesen auszurechnenden Mechanismus. — Friedrich Nietzsche, Menschliches, Allzumenschliches: Ein Buch für freie Geister (1878)


AT THE WATERFALL.—In looking at a waterfall we imagine that there is freedom of will and fancy in the countless turnings, twistings, and breakings of the waves ; but everything is compulsory, every movement can be mathematically calculated. So it is also with human actions ; one would have to be able to calculate every single action beforehand if one were all-knowing ; equally so all progress of knowledge, every error, all malice. The one who acts certainly labours under the illusion of voluntariness ; if the world’s wheel were to stand still for a moment and an all-knowing, calculating reason were there to make use of this pause, it could foretell the future of every creature to the remotest times, and mark out every track upon which that wheel would continue to roll. The delusion of the acting agent about himself, the supposition of a free will, belongs to this mechanism which still remains to be calculated. — Friedrich Nietzsche, Human, All-Too Human: A Book for Free Spirits (1908)

Dissing the Diamond

In “Fractangular Frolics” I looked at how you could create fractals by choosing lines from a dissected equilateral or isosceles right triangle. Now I want to look at fractals created from the lines of a dissected diamond, as here:

Lines in a dissected diamond


Let’s start by creating one of the most famous fractals of all, the Sierpiński triangle:

Sierpiński triangle stage 1


Sierpiński triangle #2


Sierpiński triangle #3


Sierpiński triangle #4


Sierpiński triangle #5


Sierpiński triangle #6


Sierpiński triangle #7


Sierpiński triangle #8


Sierpiński triangle #9


Sierpiński triangle #10


Sierpiński triangle (animated)


However, you can get an infinite number of Sierpiński triangles with three lines from the diamond:

Sierpińfinity #1


Sierpińfinity #2


Sierpińfinity #3


Sierpińfinity #4


Sierpińfinity #5


Sierpińfinity #6


Sierpińfinity #7


Sierpińfinity #8


Sierpińfinity #9


Sierpińfinity #10


Sierpińfinity (animated)


Here are some more fractals created from three lines of the dissected diamond (sometimes the fractals are rotated to looked better):



















And in these fractals one or more of the lines are flipped to create the next stage of the fractal:




Previously pre-posted:

Fractangular Frolics — fractals created in a similar way

Dissecting the Diamond — fractals from another kind of diamond