Calculus Atelier

The canvas employs an ultra-soft cool tinted background (#f6f8fc) punctuated by floating pure white (#ffffff) cards framed with hairline borders (#e8ecf4). Hierarchy relies on high-contrast obsidian headlines (#161c2d) tempered by slate secondary text (#6b778c), while a vivid royal blue (#3b66f5) commands primary buttons, active states, and active curriculum progress indicators. Spacing adheres to a clean 8px system with 16px to 24px inner card padding and generous 16px corner radii that soften technical density. Distinct functional sections integrate LaTeX mathematical typesetting alongside interactive Cartesian function graphs and data rings. A viewer immediately registers the asymmetrical hero card pairing bold 28px display copy with flat geometric vector illustration.

1 design references

Prompt metadata
Shared by	@Devault
Model	GPT Image 2.5
Category	Web design
Dataset	stretchcloud · awesome-gpt-image-prompt-2.5

The prompt

Design a light-mode web interface screen: airy educational dashboard turning mathematical rigor into crisp, modular product workflows.

LAYOUT
The interface is anchored by a persistent 220px fixed left sidebar, adjoining a wide fluid content area capped by a greeting and global search bar. The main content stacks an asymmetrical hero card above a full-width topic continuation bar. Below, it splits into a 3-column equal-width section for concepts, formulas, and graph previews, followed by an asymmetrical 60/40 two-column split for recent lessons and completion analytics.

PALETTE (use these exact hex values)
- #f6f8fc — Canvas Background: ambient foundation behind dashboard grid and navigation
- #ffffff — Card Surface: primary container background for all modular dashboard panels
- #e8ecf4 — Border Hairline: subtle structural boundaries around cards, tables, and search input
- #161c2d — Text Obsidian: primary page headings, card titles, and high-emphasis metric numbers
- #6b778c — Text Slate: secondary descriptions, table metadata, inactive navigation items, and axis labels
- #3b66f5 — Brand Royal Blue: primary action buttons, active navigation indicator, donut segments, and focus accents
- #eef3ff — Brand Soft Blue: active navigation item background and icon avatar container fills
- #10b981 — Success Emerald: completed lesson progress bars and secondary donut segment metrics
- linear-gradient(145deg, #4f75fc 0%, #3353e2 100%) — Pro Promo Gradient: sidebar promotional banner background driving account upgrades

TYPOGRAPHY
Typeface Plus Jakarta Sans (or Inter, SF Pro Display, DM Sans), weights 400/500/600/700. Sizes 11px caption, 12px body-sm, 13px body, 14px body-lg, 16px subheading, 20px heading, 28px display. Tracking -0.02em at display, -0.01em at headings, 0 at body. The typography balances startup clarity with rigorous academic structure. Plus Jakarta Sans supplies geometric precision and open counters for dense dashboard legibility, while rendered LaTeX equations introduce classic serif mathematical beauty. Together they project high intellectual capability without feeling clinical or dry.

GEOMETRY & SPACING
Corner radii — cards 16px, links 6px, inputs 8px, buttons 8px. Spacing on a 8px unit, 16px gaps, 24px between sections, 1440px container, comfortable density.

DEPTH
Depth is almost entirely planar, relying on 1px hairline borders (#e8ecf4) rather than noticeable drop shadows. Where used, shadows are ultra-soft and diffused (0 2px 8px rgba(22, 28, 45, 0.04)) to cleanly lift white cards off the #f6f8fc canvas. The Pro Upgrade card uses rich gradient saturation rather than elevation to draw focus.

IMAGERY
Illustrations follow a refined 2D geometric vector style combining abstract mathematical diagrams (pie charts, parabolas, coordinate axes) with stylized flat human figures. Colors within art mirror the palette: royal blue, soft violet, and warm amber. Photorealistic stock photography or 3D clay renders would break the academic editorial atmosphere.

SIGNATURE DETAIL — the thing that makes this design itself
The harmonious coexistence of LaTeX formula notation and live Cartesian graph visualizations inside an ultra-polished consumer SaaS dashboard card framework. Misusing it involves stripping the mathematical rigor for generic placeholder text, or losing the hairline 1px container discipline.

MUST
- Use 16px border-radius consistently across all content modules and dashboard cards.
- Frame cards with a 1px border (#e8ecf4) rather than heavy drop shadows.
- Maintain high contrast between obsidian titles (#161c2d) and slate body copy (#6b778c).
- Render all mathematical formulas using clean serif math typesetting with adequate vertical padding.

AVOID
- Do not use dark backgrounds for dashboard content cards; stick strictly to #ffffff.
- Never use generic emojis in headers except for the single greeting wave hand.
- Avoid thick saturated borders or high-contrast drop shadows exceeding 8px blur.
- Do not crowd equations; always provide at least 12px vertical spacing around LaTeX.

OUTPUT
Render as a clean, pixel-crisp UI design at roughly 2784:2960. Flat vector rendering, real legible text, no browser chrome, no device mockup frame, no watermark, no lorem ipsum placeholder blocks.

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