{"slug":"topological-surfaces","title":{"ja":"位相曲面","en":"Topological surfaces"},"summary":{"ja":"トーラス結び目やメビウスの輪のような数学の曲面と曲線を、発光する線の帯で描く。","en":"Mathematical surfaces and curves such as torus knots and Möbius strips, drawn as ribbons of glowing lines."},"categories":["art","3dcg","motion"],"subAspects":["generative.technique"],"aspects":["generative"],"tags":["torus-knot","mobius-strip","topology","wireframe"],"palette":[{"name":"Black","hex":"#05050C","ratio":0.78},{"name":"Cyan","hex":"#3FD6F0","ratio":0.08},{"name":"Violet","hex":"#8E5BF0","ratio":0.08},{"name":"Magenta","hex":"#E64BBE","ratio":0.06}],"keywords":["torus knot","Möbius strip","topological surface","parametric surface","wireframe ribbon","iridescent neon"],"traits":{"en":["A single closed curve winds around a hidden torus several times (a torus knot), passing over and under itself","The curve is drawn as a ribbon of several parallel thin lines, so twists and depth are visible","Color shifts iridescently along the ribbon (cyan, violet, magenta); nearer parts are brighter","Glowing lines and particles are drawn with additive blending on a near-black background, so overlaps get brighter and bloom","In motion, the form slowly rotates and light runs along the ribbon"],"ja":["1本の閉じた曲線が見えないトーラスのまわりを何周も巻き、自分の上下を交互にくぐる（トーラス結び目）","曲線は細い平行な線の帯で描き、ねじれと奥行きが見える","色は帯に沿って虹色に移り変わり（シアン・紫・マゼンタ）、手前ほど明るい","線と粒子は、ほぼ黒の地に加算合成で描き、重なる所ほど明るくにじむ","動きでは、形がゆっくり回り、光が帯を流れる"]},"prompt":"Topological surface: a torus knot drawn as a ribbon of several thin parallel glowing lines winding around a hidden torus, passing over and under itself, iridescent cyan, violet and magenta along the ribbon, nearer parts brighter, on a near-black background with additive blending. As video, the form rotates slowly.","negativePrompt":"solid shaded 3D object, rope photo, flat 2D icon, white background, thick tube","contrasts":[],"images":[],"references":[{"label":"py5-media-art — neon_wireframe_torus_knot","url":"https://github.com/asamiile/py5-media-art/tree/main/sketch/neon_wireframe_torus_knot"},{"label":"py5-media-art — generative_topological_torus_knot","url":"https://github.com/asamiile/py5-media-art/tree/main/sketch/generative_topological_torus_knot"}],"links":{"page":{"ja":"https://visual-gallery.asami.tokyo/ja/styles/topological-surfaces","en":"https://visual-gallery.asami.tokyo/en/styles/topological-surfaces"},"json":"https://visual-gallery.asami.tokyo/api/v1/styles/topological-surfaces","markdown":"https://visual-gallery.asami.tokyo/api/v1/styles/topological-surfaces/md"}}