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| View Original: | 9_Crossing_tri-tori_/_交差する９個の三芒星環.jpg (3080x3073) | |||
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| Keywords: mathematica 3d cg parametricplot3d texture torus code program algorithm tri-torus tritorus プログラム コード アルゴリズム 輪環 りんかん ドーナツ どーなつ 三芒星 さんぼうせい 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 tangle black background round wheel tire rim circle a = 6; (* center hole size *) b = 3; (* tri-torus *) c = 6; (* distance from the center of rotation *) d = 9; (* number of torus *) h = 0; (* height of a torus *) SetOptions[ParametricPlot3D, PlotRange -> Full, Mesh -> None, Boxed -> False, Axes -> False, PlotPoints -> 400, ImageSize -> 3000, Background -> RGBColor[{20, 50, 30}/255], PlotStyle -> Directive[Specularity[White, 40], Texture[Import["D:/tmp/862.jpg"]]], TextureCoordinateFunction -> ({#4 + #5, #5 / Pi} &), Lighting -> "Neutral"]; f[v_] := TriangleWave[{-1, 1}, v/(2 Pi)]; g[v_] := TriangleWave[{-1, 1}, v/(2 Pi) + 1/4]; x = (a - g[t] - f[b s]) Cos[s] + c; y = (a - g[t] - f[b s]) Sin[s] + c; z = (a - f[t] - h f[b s]); rm = Table[{x, y, z}.RotationMatrix[2 i Pi/d, {0, 0, 1}], {i, d}]; ParametricPlot3D[rm, {t, 0, 2 Pi}, {s, 0, Pi}] (*--- The Texture *) a = 6; (* center hole size *) b = 3; (* tri-torus *) c = 6; (* distance from the center of rotation *) d = 9; (* number of torus *) h = 0; (* height of a torus *) SetOptions[ParametricPlot3D, PlotRange -> Full, Mesh -> None, Boxed -> False, Axes -> False, PlotPoints -> 400, ImageSize -> 3000, Background -> RGBColor[{20, 50, 30}/255], PlotStyle -> Directive[Specularity[White, 40], Texture[Import["D:/tmp/862.jpg"]]], TextureCoordinateFunction -> ({#4 + #5, #5 / Pi} &), Lighting -> "Neutral"]; f[v_] := TriangleWave[{-1, 1}, v/(2 Pi)]; g[v_] := TriangleWave[{-1, 1}, v/(2 Pi) + 1/4]; x = (a - g[t] - f[b s]) Cos[s] + c; y = (a - g[t] - f[b s]) Sin[s] + c; z = (a - f[t] - h f[b s]); rm = Table[{x, y, z}.RotationMatrix[2 i Pi/d, {0, 0, 1}], {i, d}]; ParametricPlot3D[rm, {t, 0, 2 Pi}, {s, 0, Pi}] (*--- The Texture *) | ||||
