{"slug":"parametric-curves","title":{"ja":"リサジュー・スピログラフ","en":"Lissajous & spirograph"},"summary":{"ja":"2つ以上の振動を組み合わせた1本の曲線が、何周も重なって対称な模様になる。","en":"One curve made by combining two or more oscillations loops many times into a symmetric figure."},"categories":["art","design","motion"],"subAspects":["generative.technique"],"aspects":["generative"],"tags":["lissajous","spirograph","harmonograph","parametric-curve"],"palette":[{"name":"Black","hex":"#05060A","ratio":0.8},{"name":"Cyan","hex":"#3FD9EC","ratio":0.08},{"name":"Magenta","hex":"#E44BC0","ratio":0.07},{"name":"Gold","hex":"#F3C258","ratio":0.05}],"keywords":["Lissajous curve","harmonograph","spirograph","parametric curve","guilloche"],"traits":{"en":["One continuous thin line loops around many times, never lifting, building a dense woven figure","The figure has rotational or mirror symmetry, and the loops slowly shrink or drift as the oscillations decay (harmonograph)","Where the line crosses itself many times, the overlaps glow brightest","Color changes gradually along the line (cyan to magenta to gold)","In motion, the line is traced out and the ratios slowly shift"],"ja":["1本の細い線が途切れずに何周も回り、密に編んだような図形になる","図形は回転対称か鏡映対称で、振動が弱まるにつれて輪が少しずつ縮み、ずれていく（ハーモノグラフ）","線が何度も交わる所ほど、重なって明るく光る","色は線に沿って少しずつ変わる（シアン→マゼンタ→金）","動きでは、線がなぞられていき、比率が少しずつ変わる"]},"prompt":"Lissajous and harmonograph curve: one continuous thin glowing line looping many times into a dense woven figure with rotational symmetry, loops slowly shrinking and drifting as the oscillations decay, brightest where the line overlaps itself, color shifting along the line from cyan to magenta to gold, on a near-black background with additive blending. As video, the line is traced out.","negativePrompt":"thick strokes, filled shapes, broken line, random scribble, white background, graph axes","contrasts":[],"images":[],"references":[{"label":"py5-media-art — harmonograph","url":"https://github.com/asamiile/py5-media-art/tree/main/sketch/harmonograph"},{"label":"py5-media-art — lissajous_web","url":"https://github.com/asamiile/py5-media-art/tree/main/sketch/lissajous_web"}],"links":{"page":{"ja":"https://visual-gallery.asami.tokyo/ja/styles/parametric-curves","en":"https://visual-gallery.asami.tokyo/en/styles/parametric-curves"},"json":"https://visual-gallery.asami.tokyo/api/v1/styles/parametric-curves","markdown":"https://visual-gallery.asami.tokyo/api/v1/styles/parametric-curves/md"}}