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Glowing green geometric triangular fractal pattern with numerical overlays, reflecting on a dark surface against a black background.

$Glowing green geometric triangular fractal pattern with numerical overlays, reflecting on a dark surface against a black background.$

1. Die unlineare Kanten-Teilung: Nimm ein gleichseitiges Dreieck. Teile die Kanten nicht bei $50\%$, sondern am $\Phi$-Knotenpunkt (ca. $61,8\%$ bzw. $38,2\%$). 2. Die Richtungs-Asymmetrie: Weil die Teilung asymmetrisch ist, müssen wir dem Fluss eine Richtung geben. Wir teilen jede Kante so, dass der längere Abschnitt (Major) in Rotationsrichtung (z.B. im Uhrzeigersinn) liegt. 3. Das Herausschneiden des inneren Auges: Wenn du die drei $\Phi$-Punkte auf den Kanten miteinander verbindest, entsteht im Inneren ein neues, kleineres Dreieck. Im klassischen Fraktal wird dieses einfach stumpf entfernt. In unserem System ist dieses innere Dreieck das lokale Auge. Es ist im Verhältnis zum äußeren Dreieck perfekt um $\Phi$ skaliert und steht leicht verdreht im Raum. Durch diese minimale Drehung bei jedem Skalierungsschritt entsteht auf der flachen Platine eine optische Spirale. Das Dreieck wird lebendig; es flacht nicht ab, sondern erzeugt durch die Asymmetrie einen geometrischen Drall. Mehr sehen

#abstract #mathematical #geometric

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