{"slug":"space-filling-curves","title":{"ja":"空間充填曲線・迷路","en":"Space-filling curves & mazes"},"summary":{"ja":"1本の折れ線が交わらずに正方形を埋め尽くす曲線や、1本の通路でできた迷路。","en":"A single bent line that fills a square without crossing itself, or a maze made of one passage."},"categories":["art","design","motion"],"subAspects":["generative.technique"],"aspects":["generative"],"tags":["hilbert-curve","dragon-curve","maze","space-filling"],"palette":[{"name":"Black","hex":"#05060C","ratio":0.8},{"name":"Teal","hex":"#2FC7C0","ratio":0.1},{"name":"Amber","hex":"#F4B04A","ratio":0.07},{"name":"Indigo","hex":"#4B4BC8","ratio":0.03}],"keywords":["Hilbert curve","dragon curve","space-filling curve","maze","recursive path"],"traits":{"en":["One continuous line turns only at right angles and visits every cell of a grid without crossing itself","The path is self-similar: the same U-shaped motif repeats at every scale (Hilbert curve)","Color changes gradually along the path, so its order can be followed","Thin glowing line on black","In motion, the path is drawn from start to end"],"ja":["1本の連続した線が直角にだけ曲がり、格子のすべてのマスを交わらずに通る","道は自己相似で、同じU字の形がどの大きさでもくり返す（ヒルベルト曲線）","色が道に沿って少しずつ変わり、たどる順がわかる","黒の地に細く光る線","動きでは、道が始めから終わりまで描かれる"]},"prompt":"Space-filling curve: one continuous thin glowing line that turns only at right angles and visits every cell of a grid without crossing itself, a self-similar Hilbert curve with the same U-shaped motif at every scale, color shifting gradually along the path from teal to amber, on black. As video, the path is drawn from start to end.","negativePrompt":"crossing lines, curved strokes, maze game illustration, white background, thick walls","contrasts":[],"images":[],"references":[{"label":"py5-media-art — hilbert_curve","url":"https://github.com/asamiile/py5-media-art/tree/main/sketch/hilbert_curve"},{"label":"py5-media-art — dragon_curve","url":"https://github.com/asamiile/py5-media-art/tree/main/sketch/dragon_curve"},{"label":"py5-media-art — generative_algorithmic_maze_depth_first_search_2d","url":"https://github.com/asamiile/py5-media-art/tree/main/sketch/generative_algorithmic_maze_depth_first_search_2d"}],"links":{"page":{"ja":"https://visual-gallery.asami.tokyo/ja/styles/space-filling-curves","en":"https://visual-gallery.asami.tokyo/en/styles/space-filling-curves"},"json":"https://visual-gallery.asami.tokyo/api/v1/styles/space-filling-curves","markdown":"https://visual-gallery.asami.tokyo/api/v1/styles/space-filling-curves/md"}}