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| View Original: | 5_crossing_nona-tori_/_交差する５つの九芒星環.jpg (3080x3092) | |||
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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 九芒星 きゅうぼうせい 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 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 drawing monochrome a = 5; (* center hole size of a torus *) b = 9; (* nona-torus *) c = 4; (* distance from the center of rotation *) d = 5; (* number of torus *) SetOptions[ParametricPlot3D, PlotRange -> Full, Mesh -> None, Boxed -> False, Axes -> None, PlotPoints -> 400, ImageSize -> 3000, PlotStyle -> Directive[Specularity[White, 30], Texture[Import["D:/tmp/88.jpg"]]], TextureCoordinateFunction -> ({#4, #5 b Pi} &), Lighting -> "Neutral"]; g[v_] := Sum[Cos[(2 k - 1) v]/(2 k - 1), {k, 3}]; x = (a - Cos[t] - Sin[b s]) g[s + Pi/(2 b)] + c; y = 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, 1}], {i, d}]; ParametricPlot3D[rot, {t, 0, 2 Pi}, {s, 0, 2 Pi}] (*--- The Texture The g[] is a 3-partial sum of the Fourier series for Square wave. g[]は矩形波のフーリエ展開の最初の3項 *) a = 5; (* center hole size of a torus *) b = 9; (* nona-torus *) c = 4; (* distance from the center of rotation *) d = 5; (* number of torus *) SetOptions[ParametricPlot3D, PlotRange -> Full, Mesh -> None, Boxed -> False, Axes -> None, PlotPoints -> 400, ImageSize -> 3000, PlotStyle -> Directive[Specularity[White, 30], Texture[Import["D:/tmp/88.jpg"]]], TextureCoordinateFunction -> ({#4, #5 b Pi} &), Lighting -> "Neutral"]; g[v_] := Sum[Cos[(2 k - 1) v]/(2 k - 1), {k, 3}]; x = (a - Cos[t] - Sin[b s]) g[s + Pi/(2 b)] + c; y = 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, 1}], {i, d}]; ParametricPlot3D[rot, {t, 0, 2 Pi}, {s, 0, 2 Pi}] (*--- The Texture The g[] is a 3-partial sum of the Fourier series for Square wave. g[]は矩形波のフーリエ展開の最初の3項 *) | ||||
