プロンプト/GPT Image プロンプト/プロンプトの詳細画像プロンプトヒルベルト曲線インフォグラフィックプロットされたグラフ、凡例、プロパティを備えた、次数3のヒルベルト曲線を説明する教育的な数学的図を生成します。このプロンプトは参照画像と一緒に使用されましたこのプロンプトを使ういいね0表示290ブックマーク1次回も簡単に見つけられるよう、このプロンプトを保存または共有してくださいプロンプトを共有プロンプトコピー{ "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)." } ] } }プロンプトを表示
