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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 八芒星 はちぼうせい 八光星 はちこうせい 八稜星 はちりょうせい program プログラム code コード algorithm コード 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 white background monochrome foliage plant tree organic pattern SetOptions[Manipulate, {SaveDefinitions -> True, ContinuousAction -> False}]; Manipulate[ b = 8; (* octa-torus *) d = 8; (* number of torus *) SetOptions[ParametricPlot3D, PlotRange -> Full, Mesh -> None, Boxed -> False, Axes -> None, PlotPoints -> 300, ImageSize -> 1000, PlotStyle -> Directive[Specularity[White, 50], Texture[Import["D:/tmp/71.jpg"]]], TextureCoordinateFunction -> ({#4, #5 b Pi} &), Lighting -> "Neutral"]; x = (a - Cos[t] - Sin[b s]) Cos[s + Pi/(2 b)] + c; y = Sin[2 Sin[Sin[Sin[t]]]] + c; z = (a - Cos[t] - Sin[b s]) Sin[s + Pi/(2 b)] + c; rot = Table[{x, y, z}.RotationMatrix[2 i Pi/d, {0, 1, 0}], {i, d}]; ParametricPlot3D[rot, {t, 0, 2 Pi}, {s, 0, 2 Pi}] , {a, 3, 10, 1}, {c, 1, 4, 1} (* a:center hole size of a torus *) (* c:distance from the center of rotation *) ] (*--- The Texture *) SetOptions[Manipulate, {SaveDefinitions -> True, ContinuousAction -> False}]; Manipulate[ b = 8; (* octa-torus *) d = 8; (* number of torus *) SetOptions[ParametricPlot3D, PlotRange -> Full, Mesh -> None, Boxed -> False, Axes -> None, PlotPoints -> 300, ImageSize -> 1000, PlotStyle -> Directive[Specularity[White, 50], Texture[Import["D:/tmp/71.jpg"]]], TextureCoordinateFunction -> ({#4, #5 b Pi} &), Lighting -> "Neutral"]; x = (a - Cos[t] - Sin[b s]) Cos[s + Pi/(2 b)] + c; y = Sin[2 Sin[Sin[Sin[t]]]] + c; z = (a - Cos[t] - Sin[b s]) Sin[s + Pi/(2 b)] + c; rot = Table[{x, y, z}.RotationMatrix[2 i Pi/d, {0, 1, 0}], {i, d}]; ParametricPlot3D[rot, {t, 0, 2 Pi}, {s, 0, 2 Pi}] , {a, 3, 10, 1}, {c, 1, 4, 1} (* a:center hole size of a torus *) (* c:distance from the center of rotation *) ] (*--- The Texture *) | ||||
