Educational Mathematical Infographic

{ "type": "educational mathematical infographic", "header": { "title": "{argument name=\"main title\" default=\"Hilbert Curve\"}", "subtitle": "{argument name=\"degree subtitle\" default=\"Degree 3 (Order 3)\"}", "equation": "n = 3 -> 2^n x 2^n = 8 x 8 grid, 2^(2n) = 64 steps" }, "layout": { "left_panel": "large 2D line plot", "right_sidebar": "stacked informational panels and text blocks" }, "main_graph": { "axes": { "x_axis": "labeled 'x (column index)' with ticks 0 to 7", "y_axis": "labeled 'y (row index)' with ticks 0 to 7" }, "grid": "{argument name=\"grid size\" default=\"8x8\"} dashed light gray lines", "curve": { "description": "continuous non-intersecting path filling the grid", "style": "thick line with directional arrows", "colors": "{argument name=\"curve colors\" default=\"gradient transitioning through purple, blue, green, yellow, orange, and red\"}", "markers": [ "purple dot at bottom left labeled '00'", "blue dot at top left labeled '64'" ], "labels": "various two-digit numbers scattered along the path vertices, such as 01, 02, 32, 65, 70" } }, "sidebar": { "sections": [ { "title": "Legend", "type": "box with rounded corners", "count": 4, "items": [ "purple dot: 'Start (step 0)'", "blue dot: 'End (step 63)'", "black arrow: 'Direction of traversal'", "colored lines: 'Curve (colored by sub-quadrant progression)'" ] }, { "title": "Definition", "type": "text block", "text": "Hilbert curve of degree n maps the unit interval [0,1] onto the unit square [0,1]x[0,1] while preserving locality." }, { "title": "Properties", "type": "bulleted list", "heading": "For degree 3:", "count": 3, "items": [ "Grid size: 8 x 8 = 2^3 x 2^3", "Total steps: 64 = 2^{2*3}", "Visits each of the 64 grid points exactly once in a continuous path." ] }, { "title": "Quadrant structure (recursive)", "type": "2x2 colored grid", "count": 4, "boxes": [ "Top-left blue: 'Q2 (steps 32-63)'", "Top-right yellow: 'Q3 (steps 48-63)'", "Bottom-left purple: 'Q0 (steps 0-31)'", "Bottom-right pink: 'Q1 (steps 16-47)'" ], "footer_text": "Each quadrant is a degree-2 Hilbert curve (recursively defined)." } ] } }

• Modelgpt-image-2
• Use casesocial-media-post
• Styleeditorial
• Aspect ratioFlexible

• Use casesocial-media-post
• Styleeditorial
• Recommended specs1:1, 4:5, 16:9, or 9:16
• ModelGPT Image 2

Use this Educational Mathematical Infographic prompt as a base. Replace the subject, product details, environment, lighting, brand colors, and output ratio while keeping the social-media-post intent and editorial direction stable.

• SubjectReplace the product, person, scene, interface, or object being generated.
• Use caseKeep or rewrite the destination as social media post, ad creative, cover image, poster, or ecommerce hero.
• FrameChoose 1:1, 4:5, 16:9, or 9:16 based on the final placement.
• Brand cuesAdd colors, materials, props, text-safe space, and the platform where the image will be used.

Choose the frame for the destination first, then use 1K, 2K, or 4K based on output quality needs. Product images and posters usually benefit from higher resolution.

• CheckSubject, lighting, composition, and frame are specific enough to review.
• CheckText-safe space is included when the image will carry a headline or ad copy.
• CheckResolution, credit cost, and final destination are checked before generation.

Educational Mathematical Infographic works because it starts from the image job, then controls subject, composition, lighting, style, and frame. It is best for social media post while keeping the editorial direction stable.

• Can I use it directly?Yes. Replace the subject, brand cues, and frame, then generate in Image2Studio.
• Which ratio should I use?Choose 1:1, 4:5, 16:9, or 9:16 based on the destination.