Placeholder: a flower and its Botanical expansion in fractal geometry a flower and its Botanical expansion in fractal geometry

@generalpha

Prompt

a flower and its Botanical expansion in fractal geometry

distorted image, malformed body, malformed fingers

1 day ago

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Model

SSD-1B

Guidance Scale

7

Dimensions

1024 × 1024

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Quaternion and Hypercomplex Fractals Description: Generalization of Mandelbrot and Julia fractals using quaternion (4D) or hypercomplex numbers, then projected into 3D. Characteristics: More exotic and less intuitive shapes, often with “holes” or ribbon-like structures. [in fractales IFS with Apophysis refined in Mandelbulb 3D]
hip hop physchedelic fractal colourful mandala circles for an album cover
Despite few-symbol definition 𝐙 ↦ 𝐙²+𝐂 no finite computation exhausts an infinite fractal. Any algorithm gives only approximations. When facing infinitely intricate, infinitely explorable universes, the power of mathematical abstraction is to encode infinite in finite symbolic form.
Picture a mandala, intricately designed with delicate petals and flourishing foliage. At its center, a radiant sun bursts forth, casting its warm golden rays across the canvas. The sun, representing the rejuvenation of life, is adorned with intricate patterns resembling blossoming flowers, symbolizing the awakening of nature. Radiating from the sun, the mandala expands with an array of vivid hues. Imagine petals in shades of soft pastel pinks, gentle lavender, and cheerful yellow, each one metic
Fractal Art, as the name says, is fractals made art. Its is not drawn or painted by hand (traditional or digital). It is created with fractal generating software (for example, Apophysis, Mandelbulb 3d, Ultra Fractal, and many others), in roughly two step: defining the parameters for a set of selected functions, and rendering it into actual artwork. Although some fractals also may incorporate non fractal images, certain photomanipulation techniques (particulary plugins similar to fractalius or ka
[Ultra Fractal art] Deux heures moins le quart avant Jésus-Christ, by Jean Yanne
Fractal Art, as the name says, is fractals made art. Its is not drawn or painted by hand (traditional or digital). It is created with fractal generating software (for example, Apophysis, Mandelbulb 3d, Ultra Fractal, and many others), in roughly two step: defining the parameters for a set of selected functions, and rendering it into actual artwork. Although some fractals also may incorporate non fractal images, certain photomanipulation techniques (particulary plugins similar to fractalius or ka
Picture a mandala, intricately designed with delicate petals and flourishing foliage. At its center, a radiant sun bursts forth, casting its warm golden rays across the canvas. The sun, representing the rejuvenation of life, is adorned with intricate patterns resembling blossoming flowers, symbolizing the awakening of nature. Radiating from the sun, the mandala expands with an array of vivid hues. Imagine petals in shades of soft pastel pinks, gentle lavender, and cheerful yellow, each one metic
Botanical expansion: a Quaternion and Hypercomplex Fractals f(z) = c × sin(z) [in fractales IFS with Apophysis refined in Mandelbulb 3D]
hip hop physchedelic fractal circles for an album cover
[fractal art: Apophysis] [zoom at the floral mosaic] the floral mosaics at Sheikh Zayed Grand Mosque. [art by Kevin Dean]
[Ultra Fractal art] Deux heures moins le quart avant Jésus-Christ, by Jean Yanne

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