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| View Original: | 4_crossing_hexa-tori_/_交差する４個の六芒星環.jpg (3080x2860) | |||
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| Keywords: mathematica 3d cg parametricplot3d texture torus square wave squarewave 輪環 りんかん ドーナツ どーなつ 六芒星 ろくぼうせい 六光星 ろくこうせい 六稜星 ろくりょうせい program プログラム code コード algorithm コード アルゴリズム hexagram geometric sculpture geometricsculpture shape geometry sculpture mapping テクスチャ マッピング 模様 もよう 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 indoor SetOptions[ParametricPlot3D, PlotRange -> Full, Mesh -> None, Boxed -> False, Axes -> None, PlotPoints -> 400, ImageSize -> 3000, PlotStyle -> Directive[Specularity[White, 30], Texture[Import["D:/tmp/863.jpg"]]], TextureCoordinateFunction -> ({#4 + #5, #5/Pi} &), Lighting -> "Neutral"]; a = 2.5; (* center hole size of torus *) b = 6; (* hexa-torus *) c = 2; (* distance from the center of rotation *) d = 4; (* number of torus *) x = (a - Cos[t] - Sin[b s]) Cos[s + Pi/10] + c; y = Sum[Sin[(2 k - 1) t]/(2 k - 1), {k, 3}] + c; z = (a - Cos[t] - Sin[b s]) Sin[s + Pi/10] + c; rot = Table[{x, y, z}.RotationMatrix[2 i Pi/d, {1, 1, 0}], {i, d}]; ParametricPlot3D[rot, {t, 0, 2 Pi}, {s, 0, 2 Pi}] (*--- The Texture is another color version of this: www.flickr.com/photos/tanaka_juuyoh/5412528282 The y is a 3-partial sum of the Fourier series for Square wave. yは矩形波のフーリエ展開の最初の3項 *) SetOptions[ParametricPlot3D, PlotRange -> Full, Mesh -> None, Boxed -> False, Axes -> None, PlotPoints -> 400, ImageSize -> 3000, PlotStyle -> Directive[Specularity[White, 30], Texture[Import["D:/tmp/863.jpg"]]], TextureCoordinateFunction -> ({#4 + #5, #5/Pi} &), Lighting -> "Neutral"]; a = 2.5; (* center hole size of torus *) b = 6; (* hexa-torus *) c = 2; (* distance from the center of rotation *) d = 4; (* number of torus *) x = (a - Cos[t] - Sin[b s]) Cos[s + Pi/10] + c; y = Sum[Sin[(2 k - 1) t]/(2 k - 1), {k, 3}] + c; z = (a - Cos[t] - Sin[b s]) Sin[s + Pi/10] + c; rot = Table[{x, y, z}.RotationMatrix[2 i Pi/d, {1, 1, 0}], {i, d}]; ParametricPlot3D[rot, {t, 0, 2 Pi}, {s, 0, 2 Pi}] (*--- The Texture is another color version of this: www.flickr.com/photos/tanaka_juuyoh/5412528282 The y is a 3-partial sum of the Fourier series for Square wave. yは矩形波のフーリエ展開の最初の3項 *) | ||||
