
Hilbert Curve Infographic
Generates an educational mathematical diagram explaining a degree 3 Hilbert curve, complete with a plotted graph, legend, and properties.
這是一個平面與海報的gpt-image-2範例。請使用下方可直接使用的提示資訊產生類似的視覺素材,並在重複使用前查看Awesome Nano Banana Pro Prompts署名和商業用途授權資訊。
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提示詞
可直接複製的提示
{
"type": "Educational Mathematics Infographics",
"header": {
"title": "{argument name=\"main title\" default=\"Hilbert curve\"}",
"subtitle": "{argument name=\"degree subtitle\" default=\"Order 3\"}",
"equation": "n = 3 -> 2^n x 2^n = 8 x 8 grid, 2^(2n) = 64 steps"
},
"layout": {
"left_panel": "Large 2D line chart",
"right_sidebar": "Stacked information panels and text blocks"
},
"main_graph": {
"axes": {
"x_axis": "Labeled as 'x (column index)', with scales from 0 to 7.",
"y_axis": "Labeled as 'y (row index)', with scales from 0 to 7."
},
"grid": "{argument name=\"grid size\" default=\"8x8\"} Dashed light gray grid",
"curve": {
"description": "Continuous non-intersecting paths in a filled mesh",
"style": "Thick lines with directional arrows",
"colors": "{argument name=\"curve colors\" default=\"A gradient of colors from purple, blue, green, yellow, orange to red.\"}",
"markers": [
"The purple dot in the bottom left corner is marked '00'.",
"The blue dot in the top left corner is labeled '64'."
],
"labels": "Various two-digit numbers scattered along the path vertices, such as 01, 02, 32, 65, 70."
}
},
"sidebar": {
"sections": [
{
"title": "legend",
"type": "Rounded corner frame",
"count": 4,
"items": [
"Purple dot: 'Starting point (step 0)'",
"Blue dot: 'End point (step 63)'",
"Black arrow: 'Traversal direction'",
"Colored lines: 'Curves (colored according to sub-quadrant progress)'"
]
},
{
"title": "definition",
"type": "text block",
"text": "The nth-order Hilbert curve maps the unit interval [0,1] to the unit square [0,1]x[0,1] while preserving locality."
},
{
"title": "property",
"type": "Bullet List",
"heading": "For order 3:",
"count": 3,
"items": [
"Grid size: 8 x 8 = 2^3 x 2^3",
"Total number of steps: 64 = 2^{2*3}",
"Each of the 64 grid points is accessed precisely once using 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)'",
"Pink in the bottom right corner: 'Q1 (Steps 16-47)'"
],
"footer_text": "Each quadrant is a second-order Hilbert curve (recursively defined)."
}
]
}
}提示變數
提示符號中可編輯的參數佔位符及其預設值。
多變的
main title
預設
Hilbert curve
多變的
degree subtitle
預設
Order 3
多變的
grid size
預設
8x8
多變的
curve colors
預設
A gradient of colors from purple, blue, green, yellow, orange to red.
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重用和來源註釋
預覽案例後,請謹慎使用此提示。
- 1.複製提示或直接在 Dovoo 中使用生成按鈕開啟提示。
- 2.根據您的實際使用情況調整變數、寬高比和參考影像。
- 3.發布或付費使用前,請確認版權、署名要求以及品牌或肖像權風險。





