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| View Original: | 4_Crossing_hexa-tori_/_交差する４個の六芒星環.jpg (3080x3062) | |||
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| Keywords: mathematica 3d cg parametricplot3d texture torus code program algorithm 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 六芒星 ろくぼうせい 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 foliage leaf plant tree black background organic pattern a = 4; (* center hole size *) b = 6; (* hexa-torus *) c = -4; (* distance from the center of rotation *) d = 4; (* number of torus *) h = 1; (* 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, 30], Texture[Import["D:/tmp/71.jpg"]]], TextureCoordinateFunction -> ({#4, #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]; y = (a - g[t] - f[b s]) Sin[s]; z = (a - f[t] - h f[b s]) + c; rm = Table[{x, y, z}.RotationMatrix[2 i Pi/d, {1, 1, 0}], {i, d}]; ParametricPlot3D[rm, {t, 0, 2 Pi}, {s, 0, Pi}] (*--- The Texture *) a = 4; (* center hole size *) b = 6; (* hexa-torus *) c = -4; (* distance from the center of rotation *) d = 4; (* number of torus *) h = 1; (* 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, 30], Texture[Import["D:/tmp/71.jpg"]]], TextureCoordinateFunction -> ({#4, #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]; y = (a - g[t] - f[b s]) Sin[s]; z = (a - f[t] - h f[b s]) + c; rm = Table[{x, y, z}.RotationMatrix[2 i Pi/d, {1, 1, 0}], {i, d}]; ParametricPlot3D[rm, {t, 0, 2 Pi}, {s, 0, Pi}] (*--- The Texture *) | ||||
