GPT Image 2AI 提示词
Hilbert Curve Mathematical Infographic Generator
Generate a detailed educational diagram of a degree 3 Hilbert curve with a color-coded path, labeled grid, and explanatory legend sidebar.
提示词 · EN
type
educational mathematical infographicheader
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 stepslayout
left_panel
large 2D line plotright_sidebar
stacked informational panels and text blocksmain_graph
axes
x_axis
labeled 'x (column index)' with ticks 0 to 7y_axis
labeled 'y (row index)' with ticks 0 to 7grid
{argument name="grid size" default="8x8"} dashed light gray linescurve
description
continuous non-intersecting path filling the gridstyle
thick line with directional arrowscolors
{argument name="curve colors" default="gradient transitioning through purple, blue, green, yellow, orange, and red"}markers
item 1
purple dot at bottom left labeled '00'item 2
blue dot at top left labeled '64'labels
various two-digit numbers scattered along the path vertices, such as 01, 02, 32, 65, 70sidebar
sections
item 1
title
Legendtype
box with rounded cornerscount
4items
item 1
purple dot: 'Start (step 0)'item 2
blue dot: 'End (step 63)'item 3
black arrow: 'Direction of traversal'item 4
colored lines: 'Curve (colored by sub-quadrant progression)'item 2
title
Definitiontype
text blocktext
Hilbert curve of degree n maps the unit interval [0,1] onto the unit square [0,1]x[0,1] while preserving locality.item 3
title
Propertiestype
bulleted listheading
For degree 3:count
3items
item 1
Grid size: 8 x 8 = 2^3 x 2^3item 2
Total steps: 64 = 2^{2*3}item 3
Visits each of the 64 grid points exactly once in a continuous path.item 4
title
Quadrant structure (recursive)type
2x2 colored gridcount
4boxes
item 1
Top-left blue: 'Q2 (steps 32-63)'item 2
Top-right yellow: 'Q3 (steps 48-63)'item 3
Bottom-left purple: 'Q0 (steps 0-31)'item 4
Bottom-right pink: 'Q1 (steps 16-47)'footer_text
Each quadrant is a degree-2 Hilbert curve (recursively defined).关于这个提示词
Generate a detailed educational diagram of a degree 3 Hilbert curve with a color-coded path, labeled grid, and explanatory legend sidebar. 它更适合作为 GPT Image 2 的概念艺术起点：先保留画面结构、主体关系和风格约束，再替换成你的品牌、人物或场景。
这条提示词使用结构化 JSON 组织信息，包含 type、header、layout、main graph、sidebar 等字段。保留这种层级能让模型更清楚地区分画面主题、布局、界面元素和细节约束。
使用时建议先小幅修改主体、场景、镜头和色调，再生成多个版本对比构图与细节。这样页面内容对用户有实际帮助，也避免把模型名或标签机械堆在正文里。
如何使用这个提示词
- Copy the prompt code block.
- Choose an AI model that excels at detailed 2D illustration and text rendering.
- Adjust variables like
main title,degree subtitle, orcurve colorsin the arguments to customize the output. - Generate the image for a precise, publication-ready mathematical infographic.
