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| View Original: | 5_crossing_tri-tori_/_交差する５つの三芒星環.jpg (3080x3035) | |||
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| Keywords: mathematica 3d cg parametricplot3d texture torus 輪環 りんかん ドーナツ どーなつ 三芒星 さんぼうせい 三光星 さんこうせい 三稜星 さんりょうせい code program algorithm コード プログラム アルゴリズム geometric sculpture geometricsculpture shape geometry sculpture mapping テクスチャ マッピング 模様 もよう abstract 抽象 ちゅうしょう アブストラクト design pattern デザイン パターン graphic グラフィック グラフィクス structure 意匠 構造 symmetry 対称性 たいしょうせい シンメトリー 対称 たいしょう algorithm コード black background indoor organic pattern a = 3; (* center hole size of a torus *) b = 3; (* tri-torus *) c = 1; (* distance from the center of rotation *) d = 5; (* number of torus *) h = 1; (* height of a torus *) SetOptions[ParametricPlot3D, PlotRange -> Full, Mesh -> None, Boxed -> False, Axes -> False, PlotPoints -> 400, ImageSize -> 3000, Background -> Darker[Orange, 0.8], PlotStyle -> Directive[Specularity[White, 30], Texture[Import["D:/tmp/71.jpg"]]], TextureCoordinateFunction -> ({#4 , #5 2 Pi} &), Lighting -> "Neutral"]; f[v_] := Sin[2 Sin[Sin[Sin[v]]]]; x = (a - Cos[t] - f[b s]) Cos[s] + c; y = (a - Cos[t] - f[b s]) Sin[s] + c; z = (a - Sin[t] - h f[b s]) + c; rot = Table[{x, y, z}.RotationMatrix[2 i Pi/d, {2, 1, 0}], {i, d}]; ParametricPlot3D[rot, {t, 0, 2 Pi}, {s, 0, 2 Pi}] (*--- The Texture is this: www.flickr.com/photos/tanaka_juuyoh/5239255695/ *) a = 3; (* center hole size of a torus *) b = 3; (* tri-torus *) c = 1; (* distance from the center of rotation *) d = 5; (* number of torus *) h = 1; (* height of a torus *) SetOptions[ParametricPlot3D, PlotRange -> Full, Mesh -> None, Boxed -> False, Axes -> False, PlotPoints -> 400, ImageSize -> 3000, Background -> Darker[Orange, 0.8], PlotStyle -> Directive[Specularity[White, 30], Texture[Import["D:/tmp/71.jpg"]]], TextureCoordinateFunction -> ({#4 , #5 2 Pi} &), Lighting -> "Neutral"]; f[v_] := Sin[2 Sin[Sin[Sin[v]]]]; x = (a - Cos[t] - f[b s]) Cos[s] + c; y = (a - Cos[t] - f[b s]) Sin[s] + c; z = (a - Sin[t] - h f[b s]) + c; rot = Table[{x, y, z}.RotationMatrix[2 i Pi/d, {2, 1, 0}], {i, d}]; ParametricPlot3D[rot, {t, 0, 2 Pi}, {s, 0, 2 Pi}] (*--- The Texture is this: www.flickr.com/photos/tanaka_juuyoh/5239255695/ *) | ||||
