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| View Original: | 9_Crossing_octa-tori_/_交差する９個の八芒星環.jpg (3080x2554) | |||
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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 八芒星 はちぼうせい 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 organic pattern black background a = 6; (* center hole size *) b = 8; (* octa-torus *) c = 10; (* distance from the center of rotation *) d = 9; (* 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] + 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, 1, 2}], {i, d}]; ParametricPlot3D[rm, {t, 0, 2 Pi}, {s, 0, Pi}] (*--- The Texture *) a = 6; (* center hole size *) b = 8; (* octa-torus *) c = 10; (* distance from the center of rotation *) d = 9; (* 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] + 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, 1, 2}], {i, d}]; ParametricPlot3D[rm, {t, 0, 2 Pi}, {s, 0, Pi}] (*--- The Texture *) | ||||
