#mathematicalequations

Abstract Sphere of Scientific Exploration

• Model: AIVision

• Size: 1536 X 1536 (2.36 MP)

• Used settings:

  • Prompt: Generate the following: Represent 3D points in spherical coordinates where \( r = \sqrt{x^{2\pi} + y^{2\pi} + z^{2\pi}} \), \( \theta = \text{acos}(z/r) \), \( \phi = \text{atan2}(y, x) \). The power operation \( v^n = r^n \cdot [\sin(n\theta) \cos(n\phi), \sin(n\theta) \sin(n\phi), \cos(n\theta)] \). Iteration: \( v_{k+1} = v_k^n + c \), starting from \( v_0 = (0,0,0) \), with escape if \( |v_k| > 24.78 \) after 64 iterations. Use ray marching with distance estimator \( DE(p) \approx (1/2) \cdot (r - R) / |dr/dv| \) for rendering, applying escape-time coloring, orbit traps, and Phong shading for neon glow effects. Using also: $$ \sum_{n=0}^\infty \left(\frac{1}{2^n}\right), \quad \int_{-\infty}^\infty e^{-x^2} \, dx = \sqrt{\pi}, \quad f(x) = x^2 + c, \quad z_{k+1} = z_k^2 + c, \quad |z| = \sqrt{x^2 + y^2}, \quad z = r e^{i\theta}, \quad z^2 = r^2 e^{i2\theta}, \quad x' = r^2 \cos(2\theta), \quad y' = r^2 \sin(2\theta) $$ $$ r = \sqrt{x^{2\pi} + y^{2\pi} + z^{2\pi}}, \quad \theta = \text{acos}(z/r), \quad \phi = \text{atan2}(y,x), \quad v^n = r^n [\sin(n\theta)\cos(n\phi), \sin(n\theta)\sin(n\phi), \cos(n\theta)], \quad v_{k+1} = v_k^n + c, \quad DE \approx \frac{1}{2}\frac{(r-R)}{|dr/dv|} $$ along with additional generic math like \( \sum \), \( \int \), \( \frac{\partial}{\partial x} \), \( \lim_{x\to\infty} \), \( \Gamma(z) \), \( \zeta(s) \), and graphs of functions such as sine waves, parabolas, and axes arrows. Ensure the composition is centered on the fractal with soft glows, high resolution, surreal and mathematical aesthetic, similar to AI-generated fractal art in a cosmic math universe.
  • Using base image: No
  • Aspect Ratio: square

Art Meets Science in Vibrant Abstract Sketch

• Model: FluX

• Size: 864 X 1152 (1.00 MP)

• Used settings:

  • Prompt: PUSSYART, WHISKAS CONTOUR, , DRAWING, minimalist abstract depiction of a figure with abstract body contour. Iridescent multicolor, sheen, glow, abstract brushstrokes. Elegant flowing form with gentle curves and subtle contours from head to hips, balanced and harmonious. Zen lines, serene and luminous, SCRIBBLED on a page with written MATHEMATIC CALCULATIONS
  • Using base image: No
  • Aspect Ratio: portrait

Looking * for * Gravity

• Model: FluX

• Size: 1296 X 1728 (2.24 MP)

• Used settings:

  • Prompt: The image is a double exposure of a Bumble Bee flying into the cosmic space. The background contains mathematical equations and graphs. The image has a rough texture and is hyper-detailed with a muted palette of brown, crimson, gold, blue, and black. There are sharp lines, dripping paint and ink, and a glowing and sparkling effect for a surreal intergalactic feeling Multilayer Rendering Highest Resolution Mode
  • Using base image: No
  • Aspect Ratio: portrait

Thoughtful Young Woman

• Model:

• Size: 1832 X 1368 (2.51 MP)

• Used settings:

  • Prompt: Being = Space × Action: Searches for Freedom of Mind Through Mathematics, Art, and Mysticism"; a surreal, colourful masterpiece with scribbled overlays of mathematical formulas, 3/4 side portrait of a woman, deep iridescent vibrant colors, luminism, dreamy atmosphere; by Susanne, 4K3D.
  • Using base image: No
  • Aspect Ratio: landscape

Whimsical Scholar in a Mathematical World

• Model: AIVision

• Size: 1024 X 1024 (1.05 MP)

• Used settings:

  • Prompt: miniature size in the corner of the page, woman sketch in love student excercise book scribble, surrounded by numbers, calculations, equations and curves, mathematician drawing different curves on graph paper, from curves comes the (simplisized outer silhouette of slim metart) (empty inside) , , (stop) , best view, torment, self enjoyment rubbing, bralette and hip skirt, (promiscuous, kinky, vulgar),
  • Using base image: No
  • Aspect Ratio: square

Anatomy of Time

• Model: AI Upscaler

• Size: 5545 X 3025 (16.77 MP)

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  • Prompt:
  • Using base image: Yes

The Quantum Geometry of Time

• Model: AI Upscaler

• Size: 5549 X 3021 (16.76 MP)

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  • Prompt:
  • Using base image: Yes

Surreal Chess Game of Elegantly Dressed Figures

• Model: FluX

• Size: 1024 X 1024 (1.05 MP)

• Used settings:

  • Prompt: Cubism, magic realism This tableau evokes a surreal juxtaposition: academic rigor encoded in chalk glyphs—equations and chessboards—intertwined with aesthetic contradiction and theatrical flair. The three figures, dressed in intimate formalwear and fishnet stockings, stand as a triad: lecturers of paradox, perhaps symbols of Banksian dialectics in corporeal form. This scene may depict the ceremonial First Recursion of Gödel’s Glamour, wherein the Academy initiates a new paradox lens. Students are challenged to resolve logic without stripping away aesthetics. One must understand why this is both satire and ritual. And why the board is not set for play—but for recursion.
  • Using base image: No
  • Aspect Ratio: square

Ethereal Glitch Art: A Surreal Journey

• Model:

• Size: 1920 X 1080 (2.07 MP)

• Used settings:

  • Prompt: (((glitch art masterpiece, datamoshing, pixelation, bent image, randomness))) dark ethereal surreal horror art, dark surrealism, hyperdetailed, 8K, airbrush art, ink drawing, alcohol ink, vibrant palette of blue, silver and black, maximalist, extremely detailed, high contrast, sharp lines, dripping paint and ink, elegant, glowing and sparkling, rough texture, female figure, no-face, empty eye-sockets, double exposure, a person walking a trail into the infinite, mathematical equations, ...
  • Using base image: No
  • Aspect Ratio: landscape_wide

Ethereal Glitch: A Journey into Darkness

• Model: FluX

• Size: 1920 X 1080 (2.07 MP)

• Used settings:

  • Prompt: (((glitch art masterpiece, datamoshing, pixelation, bent image, randomness))) dark ethereal surreal horror art, dark surrealism, hyperdetailed, 8K, airbrush art, ink drawing, alcohol ink, vibrant palette of blue, silver and black, maximalist, extremely detailed, high contrast, sharp lines, dripping paint and ink, elegant, glowing and sparkling, rough texture, female figure, no-face, empty eye-sockets, double exposure, a person walking a trail into the infinite, mathematical equations, ...
  • Using base image: No
  • Aspect Ratio: landscape_wide

Galactic Wisdom: Merging Science and Spirit

• Model: AIVision

• Size: 4096 X 4096 (16.78 MP)

• Used settings:

  • Prompt: Create a glitch art masterpiece inspired by datamoshing, pixelation, and bent image elements. The image consists of a dark, ethereal, and surrealist style reminiscent of cubism. It is extremely detailed, presented with a muted palette of brown, crimson, gold, blue, and black, and painted in 8K resolution. The medium is airbrush art, similar to an ink drawing or alcohol ink, with visible drips of paint and ink. It entails maximalist aesthetics with high contrast, sharp lines, a subtle glow, sparkles and a rough texture, adding drama to this elegant piece. Central to this image is a detailed rendering of a female figure, her descent undisclosed. Her facial elements are cloaked, and in place of her eyes are empty sockets. The cloak is double-exposed with an image of the Universe, while mathematical equations and stars are seen within the hood. A well-rendered DNA helix forms a frame around her. The figure seems to be an allegory of our connection to the stars and the mystery of existence.
  • Using base image: No
  • Aspect Ratio: square

Cosmic Silhouette: Art Meets Science

• Model: AIVision

• Size: 4096 X 4096 (16.78 MP)

• Used settings:

  • Prompt: (((glitch art masterpiece, datamoshing, pixelation, bent image, randomness))) dark ethereal surreal horror art, dark surrealism, cubism, hyperdetailed, 8K, airbrush art, ink drawing, alcohol ink, vibrant palette of crimson+gold+black, maximalist, extremely detailed, high contrast, sharp lines, elegant, glowing and sparkling, rough texture, female figure, no-face, empty eye-sockets, profile view, mathematical equations, stars
  • Using base image: No
  • Aspect Ratio: square

mathematical equations

• Model: AIVision

• Size: 1536 X 1536 (2.36 MP)

• Used settings:

  • Prompt: Ethereal religious icon, alabaster skin with cracks, amber-green almond eyes, somber expression, tattered hood, aged plaster background, nature elements in cracks, delicate leaves and twigs, sacred and natural merge, Agostino Arrivabene, Sam Wolfe Connelly, Sverre Malling, Karla Ortiz, Kiki Smith, Lotta Blokker, Pamela Wilson, Heidi Taillefer, GoBi design, mystical, haunting, contemplative, detailed, high cheekbones, wisdom and sorrow, reverence, ethereal, cracked skin texture, deep emotion, intelligent gaze, timeless, reverence, contemplation, Gerald Brom-inspired, avant-garde hairstyle, short dress, math equations print, red flower, night setting.designed by GoBi &Наталья И-ва
  • Using base image: No
  • Aspect Ratio: square

Mystery of the Cosmic Examiner Unveiled

• Model: AIVision

• Size: 1536 X 1536 (2.36 MP)

• Used settings:

  • Prompt: close-up faceless silhouette with burning symbols "+" and "-" in eye-sockets double exposure with math class exam in school where no one is know the solution of math formula, math symbols and formulas flowing around with thunder lightings, dark ethereal surreal horror art, dark surrealism, hyperdetailed, elegant, glowing and sparkling, hooded being, no-face, empty eye-sockets, focus on a person standing before a junction, mathematical equations, stars, galaxy, fireflies; inspired by Bosch, Blake, Hugo Simberg
  • Using base image: No
  • Aspect Ratio: square

Cosmic Bee: Nature Meets Science

• Model: AIVision

• Size: 1000 X 1000 (1.00 MP)

• Used settings:

  • Prompt: A cosmic bee floats in a surreal blend of colors, with intricate mathematical equations swirling around it. The scene combines elements of nature and science in a dreamlike atmosphere. The background contains mathematical equations and graphs. The image has a rough texture and is hyper-detailed with a muted palette of brown, crimson, gold, blue, and black. There are sharp lines, dripping paint and ink, and a glowing and sparkling effect.
  • Using base image: No
  • Aspect Ratio: square

Bee in a Cosmic Nebula of Colors and Shapes

• Model: AIVision

• Size: 1000 X 1000 (1.00 MP)

• Used settings:

  • Prompt: A cosmic bee floats in a surreal blend of colors, with intricate mathematical equations swirling around it. The scene combines elements of nature and science in a dreamlike atmosphere. The background contains mathematical equations and graphs. The image has a rough texture and is hyper-detailed with a muted palette of brown, crimson, gold, blue, and black. There are sharp lines, dripping paint and ink, and a glowing and sparkling effect.
  • Using base image: No
  • Aspect Ratio: square

Cosmic Bee in a Dreamlike Universe

• Model: AIVision

• Size: 1000 X 1000 (1.00 MP)

• Used settings:

  • Prompt: The image is a double exposure of a Bumble Bee flying into the space. The background contains mathematical equations and graphs. The image has a rough texture and is hyper-detailed with a muted palette of brown, crimson, gold, blue, and black. There are sharp lines, dripping paint and ink, and a glowing and sparkling effect.
  • Using base image: No
  • Aspect Ratio: square

Young Woman Solving Equations at Chalkboard

• Model: FluX

• Size: 1536 X 1536 (2.36 MP)

• Used settings:

  • Prompt: A young woman with shoulder-length straight brown hair stands in front of a chalkboard filled with complex mathematical equations. She is writing with white kreda on the board, wearing a black t-shirt with a subtle glow on the shoulders. The classroom is softly lit, with wooden accents and shelves filled with books, creating an academic atmosphere. The focus is on her thoughtful expression and the intricate math being illustrated behind her. There are two leg support crates staing in the backgroound
  • Using base image: No
  • Aspect Ratio: square

Elegant Ones & Zeroes

• Model: FluX

• Size: 1280 X 720 (0.92 MP)

• Used settings:

  • Prompt: A futuristic humanoid face composed of intricate digital patterns and glowing blue circuitry, set against a backdrop of complex mathematical equations and symbols. The expression is calm and contemplative, with luminous eyes that reflect intelligence. The overall atmosphere is one of advanced technology and artificial intelligence, merging human features with a cybernetic aesthetic. The color scheme emphasizes deep blues and blacks, creating a sense of mystery and depth.
  • Using base image: No
  • Aspect Ratio: landscape_wide

Cogito Ergo Sum

• Model: AIVision

• Size: 2236 X 2236 (5.00 MP)

• Used settings:

  • Prompt: mid view portrait of a very technically advanced android in a pensive pose. The android is looking up with an index finger touching its temple. The background is a list of theoretical physics equations in blue-green neon superimposed onto a black background. Masterpiece.
  • Using base image: No
  • Aspect Ratio: square