#depth

Swirling Colors and Fractal Patterns Delight

• Model: DaVinci2

• Size: 1208 X 848 (1.02 MP)

• Used settings:

  • Prompt: A highly detailed, abstract 3D Mandelbrot fractal rendering resembling a Mandelbulb variant with hyperbolic deformations, featuring a central orange bulbous orb surrounded by swirling, fluid-like lobes in shades of blue, pink, and yellow with iridescent, reflective surfaces and gradient transitions. The fractal is defined iteratively in \(\mathbb{R}^3\) for a point \(\mathbf{c} = (x_0, y_0, z_0)\), starting with \(\mathbf{z}_0 = \mathbf{0}\) or \(\mathbf{z}_0 = \mathbf{c}\), and iterating \(\mathbf{z}_{k+1} = r \cdot \vec3\left( \frac{e^{\cos \theta} - e^{-\cos \theta}}{\pi} \cos \phi, \cos \theta \sin \phi, \cos \theta \right) + \vec3\left( \frac{e^{p_x} - e^{-p_x}}{\pi} p_x, \frac{e^{p_y} - e^{-p_y}}{\pi} p_y, \frac{e^{p_z} - e^{-p_z}}{\pi} p_z \right)\), where \(r = \|\mathbf{z}_k\|\), \(\theta = \arccos\left( \frac{z_k \cdot z}{r} \right)\), \(\phi = \atantwo(z_k.y, z_k.x)\), and \(\mathbf{p}\) is a vector parameter like \(\mathbf{c}\). For higher powers n (e.g., 8), scale to \(r^n\), \(n \theta\), \(n \phi\). Iteration halts if \(r > 4\) or after 50 max iterations. Render using ray marching with distance estimator \(DE(\mathbf{q}) = 0.5 \cdot \frac{\log r \cdot r}{dr}\), surface normals via gradients, Phong/PBR shading with reflections, ambient occlusion, and coloring via orbit traps or escape time mapped to hues (orange for low iterations, blue-pink gradients for higher). Apply post-processing for anti-aliasing, depth-of-field, and glow to achieve a dreamy, metallic sheen, viewed zoomed into the central orb with asymmetric swirling arms, Hyper Realistic Fractal Art, HD-Resolution, Vibrant Every Color in The Rainbow Color Palette
  • Using base image: Yes

Her Eye

• Model: Artistic 2

• Size: 1664 X 1136 (1.89 MP)

• Used settings:

  • Prompt: ¯\_ (ツ)_/¯
  • Using base image: Yes

The essence of the mathemArtist way is its freedom.

• Model: DaVinci2

• Size: 880 X 1160 (1.02 MP)

• Used settings:

  • Prompt: The essence of the mathemArtist way is its freedom. From the creation of the first elements of the mathemArtist way - the forms, colors, melodies and motions - a mathemArtist creates fiction, wanders in his search to understand the mind of a mathemArtist kind.
  • Using base image: Yes

Smile into (MN's) darkness

• Model: DaVinci2

• Size: 1240 X 824 (1.02 MP)

• Used settings:

  • Prompt: Fanciful intricate surrealistic visionary art - masterpiece of Martin Němec - dramatic-to-surrealistic abstract painting with elegant flowing form with gentle curves & subtle contours from balanced harmonious dark Zen to luminous mathematically scheming act. Autumn statement piece from the collection evocatively called Smile at your Romanesque 2025 PY Fashion. Deep imagination in funky way for Martin N., so heavy that everyone will be the Speechlessguy, yes everyone - white horses too, yes geese in the bright sky too - and also everything, yes dawn under the feet of the harbor, which sails away into the distance, defying all the laws of darkness too.
  • Using base image: Yes

Mysteries of the Cosmic Void Unveiled

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Depict in 3D an arbitrary vector field $V_a(\bfx)$ can then be expanded as \begin{equation} V_a(\bfx) = \int \frac{d^3k}{(2\pi)^3} \left[ \tilde V^L(\bfk) \Psi^{L,\bfk}_a(\bfx) + \tilde V^1(\bfk) \Psi^{1,\bfk}_a(\bfx) + \tilde V^2(\bfk) \Psi^{2,\bfk}_a(\bfx) \right], \label{eqn:vectorexpansion} \end{equation} in terms of Fourier expansion coefficients, \begin{eqnarray} \tilde V^L(\bfk) = \int \, d^3x\, V^a(\bfx) \left[\Psi^{L,\bfk}_a(\bfx)\right]^* = -\int\, d^3x\,\left[\Psi^{\bfk}(\bfx) \right]^* \frac{1}{k} \nabla^a V_a(\bfx), \nn \\ \tilde V^1(\bfk) = \int \, d^3x\, V^a(\bfx) \left[\Psi^{1,\bfk}_a(\bfx)\right]^* = \int\, d^3x\, \left[\Psi^{\bfk}(\bfx) \right]^* \frac{1}{| \bfk \times \hatz |} \epsilon_{abc} \hat z^a \nabla^b V^c(\bfx), \nn \\ \tilde V^2(\bfk) = \int \, d^3x\, V^a(\bfx) \left[\Psi^{2,\bfk}_a(\bfx)\right]^* = \int\, d^3x\, \left[\Psi^{\bfk}(\bfx)\right]^* \frac{-i}{k| \bfk \times \hatz |} \hat{z}^a (\nabla_a \nabla_b - g_{ab} \nabla^2) V^b(\bfx). \end{eqnarray}
  • Using base image: No
  • Aspect Ratio: landscape

Shadows and Depth in an Abstract Corridor

• Model: FluX

• Size: 1280 X 720 (0.92 MP)

• Used settings:

  • Prompt: hand colored art of a life filled with surrealist absurdist abstracts viewed from the perspective of an absurdist surrealist tall shadow of a figure standing in a volumetric hallway looking at itself watching itself on the other half of the surrealist wall of reality while the shadow reflects everywhere, high resolution, natural realistic lighting, natural realistic colors, paint hyper textured
  • Using base image: No
  • Aspect Ratio: landscape_wide

Ｓａｋｕｒａ Ｒｅｆｌｅｃｔｉｏｎｓ

• Model: AIVision

• Size: 1792 X 1008 (1.81 MP)

• Used settings:

  • Prompt: Masterpiece, a full-screen, multi-block linocut print in the style of an exquisite contemporary Japanese folio, illustrating the poem by Gonchūnagon Masafusa. A young, charming prince, the idealized Heian aristocrat, stands beneath a profusion of double-flowering sakura trees in full bloom. The blossoms are a dense tapestry of textured patterns, created through countless fine dots, stippling, and intricate carved clusters of pale pink and white. The prince's gaze is contemplative and slightly melancholic. The poem's central metaphor is visualized beside him: a single mulberry leaf, carved with extreme, biological detail, upon which a silkworm spins its cocoon. The cocoon glows with a soft, inner light, rendered by fine, swirling, glossy lines that represent the "little life's short span" a life of intense, purposeful beauty, contrasting his own prolonged and perhaps less genuine aristocratic existence. He and his entourage wear raincoats, prepared for the mist that threatens the scene. This mist is artistically implied by areas of subtle, translucent grey ink and horizontal scoring on the block. The spring ambiance is a mix of joyful celebration and underlying sorrow, captured through the high contrast between the vibrant blossoms and the deep, inked shadows. The mood is one of bittersweet reflection on the nature of love and life, masterfully executed through the rich colors, graphic boldness, and exquisite texture of the linocut medium. Ukiyo-e, linocut, key block, bold outlines, flat colors, stippling, intricate, atmospheric, high-contrast, textured, stylistic, screen-filling.
  • Using base image: No
  • Aspect Ratio: landscape_wide

Vibrant Swirls of Color and Energy

• Model: DaVinci2

• Size: 1024 X 1024 (1.05 MP)

• Used settings:

  • Prompt: A masterpiece of abstract panel graphics. A cosmic, stellar rhapsody in bright tones; A surreal digital illustration of overlapping textures in colorful colors, creating depth and movement. High contrast, Fibonacci shapes. 3D. A wide variety of artistic textures flow into one another. Fibonacci forms flow into Ghotic forms. Colorful. High contrast between light and shadow. diagonal composition.
  • Using base image: No
  • Aspect Ratio: square

Cascading Water Droplets on Black Canvas

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: A one line drawing of a 3D surreal drawing of raindrops in white ink and with a black background.
  • Using base image: No
  • Aspect Ratio: landscape

Spiral Illusion: Depth in Black and Whit(Repetition https://deepdreamgenerator.com/ddream/tljsu4a8)

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Illusion
  • Using base image: No
  • Aspect Ratio: landscape

Intricate Green Leaf Patterns in Nature (Repetition)

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: greenery under the microscope
  • Using base image: No
  • Aspect Ratio: landscape

Majestic Tree Against a Vibrant Sky

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: Faceted rib-like curves morph into Fibonacci tree structures, intertwined with bird feathers, blooming flowers, and coral forms, dissolving into thick expressive paint strokes or liquid metallic streams. Transparent crystals reflect light like water; wooden bark, tiny sparks, and fractal petals emerge from depths, pulsing like breathing gardens. Vein-like molten energy lines glow with fiery transitions in living organic networks; layered translucent feathers overlap in silvery mist, swirling with soft waves and dreamlike motion. Stone textures blend swirling air currents, shifting rough to smooth, heavy to airy; molten color petals merge wavy patterns, glossy highlights pulsing on living surfaces—no straight lines. Flowing vines entwine water currents in boundless breathing motion; semi-transparent light flakes thread warm amber streams in curved harmony. Soft moss undulates with droplets and light patches; roots stretch as aurora threads from green to violet-golden mist. Coral swirls in liquid storms, rippling colors; flower blooms dissolve into smoke-wave spirals on water surfaces. Luminous veils flow over shifting organic structures in ethereal depth. Rivers of color vortex air-fire brushstrokes; thick pulses collide in explosive rhythm without boundaries. Flower forms expand electric light, sparkling curves in waving backgrounds; red-orange strokes spiral flame-dance tension. Petals burst storm waves, paint melting into fluid alive blooms; water merges blooming landscapes like river gardens. Feathers vortex color, edges dissolving light-brushstrokes; roots whirl flames, earth-fire merging nature’s breath in elemental fusion. Microscopic pollen shimmers liquid paint droplets, blending into living breathing surfaces with dynamic reflections. Extreme macro moss: moist filaments, glistening pigment brushstroke layers. Petal edges as landscapes—droplets, folds, shifting haze in surreal softness. Feather fibers wave color-light flows in translucent motion. Extreme macro petals: light patterns like gothic stained glass—translucent dark-golden layers, delicate sacred structures. Morning dew arches glow miniature stained-glass windows in tiny gothic temples. Leaf veins mimic gothic arches-tracery; light filters majestic organic ornament. Flower core chalice radiates sacred waves touching pigment-moisture in painterly gothic divinity. (High detail, vivid colors/reflections/contrast, organic geometry/fluidity/motion, tactile/painterly/ethereal textures, dynamic/glowing/radiant lighting, no straight lines/symmetry/stillness—ultra-detailed, luminous, breathing realism.)
  • Using base image: No
  • Aspect Ratio: landscape

Golden Swirls of Light and Energy

• Model: DaVinci2

• Size: 1152 X 864 (1.00 MP)

• Used settings:

  • Prompt: “Semi-transparent flakes and threads of light flow like warm amber streams, suspending motion and glow in organic harmony — smooth transitions, curved layers, natural fluidity.”
  • Using base image: No
  • Aspect Ratio: landscape

Intricate Eye Design in Black and White

• Model: DaVinci2

• Size: 1016 X 1016 (1.03 MP)

• Used settings:

  • Prompt: eye zentangle
  • Using base image: Yes

Non-existent coin

• Model: DaVinci2

• Size: 896 X 1152 (1.03 MP)

• Used settings:

  • Prompt: N/A
  • Using base image: Yes

Checkered Tower Under Starry Skies

• Model: DaVinci2

• Size: 920 X 1112 (1.02 MP)

• Used settings:

  • Prompt: A detailed pencil drawing of a tall, checkered lighthouse tower viewed from below, with a grid-patterned background. The tower's checkerboard design is prominent, featuring alternating black and white squares. The perspective creates a sense of height and depth, emphasizing the tower's grandeur against the linear, vertically-oriented grid lines of the background. The overall composition captures an architectural and artistic blend of structure and perspective.
  • Using base image: Yes

Inspired by Synesthesia

• Model: DaVinci2

• Size: 880 X 1160 (1.02 MP)

• Used settings:

  • Prompt: Inspired by synesthesia I am preparing a musical, artistic play
  • Using base image: Yes

multidimensional narrative space

• Model: DaVinci2

• Size: 912 X 1120 (1.02 MP)

• Used settings:

  • Prompt: The Said immersion is characterized by a continuous flow of multidimensional narrative space. The MathemArtist
  • Using base image: Yes

Vibrant Abstract Face in Colorful Swirls

• Model: AIVision

• Size: 1008 X 1024 (1.03 MP)

• Used settings:

  • Prompt: Medium (2005) Suspicions and Certainties
  • Using base image: No
  • Aspect Ratio: portrait

Just thoughts

• Model: FluX

• Size: 1728 X 1296 (2.24 MP)

• Used settings:

  • Prompt: Vast emptiness of the mind, swirling void, abstract concept of conflicting thoughts, chaotic energy, dark abyss, tangled threads of ideas, surreal interpretation, deep symbolism, mind-bending visuals, intricate patterns, shadows and light interplay, digital art, high resolution, vivid color palette with contrasts of black, white, and shades of gray, dynamic lighting effects, enigmatic atmosphere, by Salvador Dali and H.R. Giger, Artstation.
  • Using base image: No
  • Aspect Ratio: landscape