#mathematics

Surreal Mathematical Harmony

• Model: DaVinci2

• Size: 1680 X 1248 (2.10 MP)

• Used settings:

  • Prompt: < <Being=Space×Action> : Searches for Freedom of War Through Art and Mysticism > ; surreal abstract mixed media illustration with scribbled overlays of mathematical formulas, style of Peter Gric, Shaun Tan, and Jaume Plensa's patterns, background of aged cracked parchment with overlays of weathered gold leaf and oxidized patina, ultra detailed, missing fragmentes, grunge background, luminism, colourful, fantastic view, mythical, smallest christ unquality like from middle europe {{{Small Goodnight, Susanne, by Darlen}at the 1379th pixel}} .(=and a dot)
  • Using base image: Yes

Iridescent Torus in a Sea of Equations

• Model: AIVision (Ultra)

• Size: 2560 X 1472 (3.77 MP)

• Used settings:

  • Prompt: Apply tensor product of the {1.6180339887498948482045868343656\pi\sqrt[\exp(1)]{2\cdot1.6180339887498948482045868343656}}-form of the tangent bundle of the orbifold over the {1.6180339887498948482045868343656\exp(1)\sqrt[\pi]{2\cdot1.6180339887498948482045868343656}}-form of the tangent bundle of the conifold !
  • Using base image: No
  • Aspect Ratio: landscape_wide

Mathematical Artistry on a Blackboard Canvas

• Model: AIVision (Ultra)

• Size: 1024 X 1024 (1.05 MP)

• Used settings:

  • Prompt: $$ \int_{-\infty}^{\infty} sech\left(\frac{x}{w}\right)^4 dx = \frac{4}{3} w\qquad \int_{-\infty}^{\infty} sech\left(\frac{x}{w}\right)^8 dx = \frac{32}{35}w $$ $$ \nabla_{u\partial_u^{\sqrt[\pi]{2}}} &= u\partial_u^{\sqrt[\pi]{2}} + u^{-1\{\sqrt[\pi]{2}}}\big(\mathsf{Eu}\star(\cdot)\big) + \tfrac12\big(\mathsf{Deg}-\dim_{\mathbb C} X\cdot\mathrm{id}\big),\\ \nabla_{q_j\partial_{q_j}} &= q_j\partial_{q_j} + u^{-1}\big(\omega_j\star(\cdot)\big),\\ \nabla_{\partial_{t_i}} &= \partial_{t_i} + u^{-1}\big(T_i\star(\cdot)\big). $$
  • Using base image: No
  • Aspect Ratio: square

Cheerful Anime Girl Solves Complex Problems

• Model: ChatGPT (Pro) Full

• Size: 2880 X 2880 (8.29 MP)

• Used settings:

  • Prompt: A modern, colorful manga-style comic panel with clean, confident linework, expressive chibi-influenced proportions, and flat, vibrant colors with soft cel shading. The tone is playful, clever, and gently philosophical. The characters remain consistent. A young adult woman, barefoot, wearing a light blouse and a short pleated skirt in bright, youthful colors. She has a very short, sharply layered asymmetrical pixie haircut in vivid violet. Her expression is bright and enthusiastic, full of confident curiosity. Beside her sits a very fluffy albino cat with long white fur, rounded shapes, and calm, sharp eyes that convey dry, intelligent skepticism. The scene is a single panel. The woman is kneeling on the floor, leaning forward with excitement, one arm extended as she proudly points at a chalkboard positioned beside her. On the chalkboard is a dramatically dense physics formula clearly recognizable as Einstein’s field equation of general relativity, filled with tensors, indices, and symbols. The equation sprawls across the board in an exaggerated, academic way — and at the very end, humorously circled and underlined, the result reads: = 42 The woman beams with certainty as she speaks, her speech bubble rendered in a cute, rounded, highly readable font: Woman: “For every complex problem, there is a simple solution!” The albino cat sits next to her, staring at the equation with a flat, unimpressed expression, ears slightly angled back. Its speech bubble, smaller but crisp and clear, reads: Cat: “…And it’s wrong!” At the bottom of the panel, centered as a caption in a clean, friendly font, appears the closing line: “Simple solutions to complex problems are illusions.” The background remains minimal and graphic, using soft pastel tones and light texture so the focus stays on the characters, the chalkboard, and the dialogue. The overall mood blends humor, science, and quiet irony — contrasting human enthusiasm for elegant answers with feline realism, in a warm, modern manga-style visual joke.
  • Using base image: No
  • Aspect Ratio: square

Adorable Anime Goddess of Geometry

• Model: Ideogram (Base)

• Size: 1312 X 736 (0.97 MP)

• Used settings:

  • Prompt: cute anime goddess of trigonometry
  • Using base image: No
  • Aspect Ratio: landscape_wide

Exploring Dynamic Graphs and Mathematical Concepts

• Model: DaVinci2

• Size: 1280 X 720 (0.92 MP)

• Used settings:

  • Prompt: Rencally no tezing utilixt graphider thengian LagraQFT. Thissentation vicately represual intriry comnamic quaphics theocepts confield with a dybines frabulb Mandelctal, showplay arant vib intercasing ofgance mathening eleand stunmatical grantum.
  • Using base image: No
  • Aspect Ratio: landscape_wide

Calculating Derivatives of Integrals Explained

• Model: AIVision

• Size: 1536 X 1536 (2.36 MP)

• Used settings:

  • Prompt: \begin{aligned}{\frac {\mathrm {d} \Phi }{\mathrm {d} \varepsilon }}&amp;={\frac {\mathrm {d} }{\mathrm {d} \varepsilon }}\int _{a}^{b}L(x,f(x)+\varepsilon \eta (x),f'(x)+\varepsilon \eta '(x))\,\mathrm {d} x\\&amp;=\int _{a}^{b}{\frac {\mathrm {d} }{\mathrm {d} \varepsilon }}L(x,f(x)+\varepsilon \eta (x),f'(x)+\varepsilon \eta '(x))\,\mathrm {d} x\\&amp;=\int _{a}^{b}\left[\eta (x){\frac {\partial L}{\partial {f}}}(x,f(x)+\varepsilon \eta (x),f'(x)+\varepsilon \eta '(x))+\eta ...
  • Using base image: No
  • Aspect Ratio: square

Vibrant Fusion of Art and Mathematics

• Model: Ideogram

• 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
  • Ideogram Style: Auto

Astronomer's Last Broadcast

• Model: AIVision

• Size: 2688 X 1512 (4.06 MP)

• Used settings:

  • Prompt: An orbital observatory drifts at the edge of a dying star—a halo of glass and math over an ocean of fire. Mirror petals the size of cities hang cracked and bowed, edges shredded by radiation. Plasma crawls along frames like luminous serpents whispering in particle tongues. Inside the observatory’s eye, a lone astronomer in a scorched EVA suit floats among instruments once precise, now devotional: gyros as prayer wheels, spectrometers ringing as they cool, a clock counting by half-lives. They begin the last broadcast. Holograms breathe around them—constellations long dead mapped as pale lattices. Names of extinct stars scroll in lament; each syllable a coordinate and farewell. The voice stays calm, a metronome against collapse, describing stellar convulsions, coronal folds, neutrino rain thickening like weather. Words travel through the station’s bones to the antenna crown, a comb of shattered spires that still sing. Outside, the star closes. The corona heaves inward like an eye fighting sleep; prominences bend, tear, fall as red curtains of arithmetic. Magnetic lines snap, rewire, sketching cathedral geometry in a language of force. The observatory shudders—not from impact but rearranged rules. Time lengthens; notes sustain too long. Loose tools glow blue, remembering the early universe. The astronomer continues, marking anomalies, tagging each defection of physics as timestamps drift apart. Radiation crawls through alloys; mirrors bloom with frost made of light. A pane fractures. Air crystals drift, slow, sparkling. The astronomer steadies on a rail etched by micrometeors—each scratch a tally of years the world forgot. Cameras turn to the star. Lenses iris down. Image becomes structure: knots, braids, brightness wound around absence. The horizon flowers—not black but subtraction, devouring glare. Beyond, the universe distorts into a bowl where galaxies pour toward a hidden drain. The broadcast shifts. The astronomer speaks first principles: hydrogen, gravity, patience. They narrate the star’s will—how it grew, fed, reached for balance, found appetite. They confess errors—maps as beliefs, instruments flattering makers. Then language strips to bone: wavelengths, periods, ratios—the hard nouns that do not break. A flare hammers the hull. Plasma arcs write equations across mirrors, brief and bright. The station rings like a bell struck by a god. The suit chars in a lichen pattern like continents on a world no one will walk. They reach the transmitter core, open shielding, seat the final crystal—reserved for endings. Countdown begins. The star folds again. A filament rises, snaps, the observatory sliding closer to never. The astronomer stabilizes the beam, corrects for time’s slow wind, keeps speaking. The voice does not tremble. The tremble belongs to matter. The last paragraph is calibration tone. When light nears the limit of speech, signal converts: speech to noise, noise to ladder, transmission to measure for any mind that may find its echo. The star’s edge brightens until color leaves, and for a heartbeat longer than a heartbeat the observatory, astronomer, and mathematics share one shape. Then the light closes its eye, and the broadcast goes on without them. --mod ambient haze, --mod rim light, --mod dynamic composition, --mod highlight scatter, --mod specular control
  • Using base image: No
  • Aspect Ratio: landscape_wide

Holographic Learning in a Futuristic Classroom

• Model: AIVision

• Size: 2688 X 1512 (4.06 MP)

• Used settings:

  • Prompt: Futuristic classroom setting, student engrossed, holographic AI tutor, transparent figure explaining mathematics, floating data charts, glowing text, soft futuristic lighting, detailed skill sets, intricate learning pathways, digital illustration, high-tech concept art, advanced technology, vibrant colors, dynamic lighting, educational ambiance, by Simon Stålenhag, Artstation.
  • Using base image: No
  • Aspect Ratio: landscape_wide

Futuristic Learning with Holographic Tutor

• Model: AIVision

• Size: 2688 X 1512 (4.06 MP)

• Used settings:

  • Prompt: Student sitting at a desk in a futuristic room, holographic AI tutor projecting in front of them, glowing transparent figure explaining mathematics, floating data charts and glowing text around, soft futuristic lighting, number without comma, the data including skill sets and learning pathways
  • Using base image: No
  • Aspect Ratio: landscape_wide

Futuristic Learning with Holographic Tutor

• Model: AIVision

• Size: 2688 X 1512 (4.06 MP)

• Used settings:

  • Prompt: Student sitting at a desk in a futuristic room, holographic AI tutor projecting in front of them, glowing transparent figure explaining mathematics, floating data charts and glowing text around, soft futuristic lighting, number without comma, the data including skill sets and learning pathways
  • Using base image: No
  • Aspect Ratio: landscape_wide