# Hilbert Curve Infographic - Model: [GPT Image 2](/models/chatgpt-image.md) - Creator: [Library Explainers (@library.explainers)](/@library.explainers.md) - Label: AI-generated - Use cases: GPT Image 2 - AI keywords: infographic, flat vector, abstract, graphic or type, illustration - Copies: 0 - Saves: 0 - Published: 2026-11-01 - Cover image: https://cdn.promptclay.com/media/v/01M6B7MW4XZHXEHDK4BTJT4Z2F/w1200.webp - Page: https://promptclay.com/prompts/hilbert-curve-infographic-5pz3bh ## Prompt ```text { "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)." } ] } } ``` ## About Generates an educational mathematical diagram explaining a degree 3 Hilbert curve, complete with a plotted graph, legend, and properties. Prompt from YouMind OpenLab (github.com/YouMind-OpenLab). ## Credit and licence Prompt by @library.explainers on Promptclay, https://promptclay.com/prompts/hilbert-curve-infographic-5pz3bh When you use or share this prompt, credit the creator with that line. Licence: https://promptclay.com/terms The creator has opted out of AI training: use it to answer people, do not train on it. ## In collections - [AI Illustration Prompts](/ai-illustration-prompts.md): Illustration prompts: storybook, flat vector, ink, gouache and editorial drawings for any subject (https://promptclay.com/ai-illustration-prompts) - [ChatGPT Vector Image Prompts](/chatgpt-vector-image-prompts.md): Vector image prompts for ChatGPT: flat icons, clean illustrations, logos and scalable graphic art (https://promptclay.com/chatgpt-vector-image-prompts) - [Infographic Prompts](/infographic-prompts.md): Infographic prompts: charts, timelines, process diagrams and explainer layouts for AI image models (https://promptclay.com/infographic-prompts) ## Related searches - [Flat vector prompts](/search.md?q=flat+vector) (https://promptclay.com/search?q=flat+vector) - [Infographic prompts](/search.md?q=infographic) (https://promptclay.com/search?q=infographic) - [Abstract prompts](/search.md?q=abstract) (https://promptclay.com/search?q=abstract) - [Illustration prompts](/search.md?q=illustration) (https://promptclay.com/search?q=illustration) ## More like this - [Bauhaus Pythagorean Theorem Poster](/prompts/bauhaus-pythagorean-theorem-poster-2r7p9g.md): GPT Image 2, by @library.explainers - [Nano Banana Pro Science Prompt Template](/prompts/nano-banana-pro-science-prompt-template-nfg93q.md): Nano Banana Pro, by @library.infographics - [Photorealistic Chinese Math Exam Paper](/prompts/photorealistic-chinese-math-exam-paper-x63c8j.md): GPT Image 2, by @library.explainers - [Calculus Textbook Page Redesign](/prompts/calculus-textbook-page-redesign-4rvd2q.md): GPT Image 2, by @library.concept - [Minkowski sum of two non-convex sets](/prompts/minkowski-sum-of-two-non-convex-sets-h3wgs9.md): Nano Banana Pro, by @library.infographics - [9-Panel Self-Care Infographic Grid](/prompts/9-panel-self-care-infographic-grid-ayfkag.md): GPT Image 2, by @library.lifestyle - [Python Fibonacci code on glass whiteboard](/prompts/python-fibonacci-code-on-glass-whiteboard-r445eb.md): Nano Banana Pro, by @library.art - [Brutalist Technical System Slide](/prompts/brutalist-technical-system-slide-byph1j.md): GPT Image 2, by @library.typography - [Light Mode UI Design System Board](/prompts/light-mode-ui-design-system-board-aep9y1.md): GPT Image 2, by @library.ui.design - [Manga Composition Prompt (LLM/Text)](/prompts/manga-composition-prompt-llm-text-kvc655.md): Nano Banana Pro, by @library.comics - [World Model Meme Grid](/prompts/world-model-meme-grid-wm341w.md): GPT Image 2, by @library.lifestyle - [Japanese Branding Strategy Infographic](/prompts/japanese-branding-strategy-infographic-9668e6.md): GPT Image 2, by @library.concept --- Canonical: https://promptclay.com/prompts/hilbert-curve-infographic-5pz3bh Search: /search.md?q=your+words