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| View Original: | 6_crossing_octa-tori_/_交差する６つの八芒星環.jpg (3160x3487) | |||
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| Keywords: mathematica 3d cg parametricplot3d texture torus trianglewave 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 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 black background photo border SetOptions[ParametricPlot3D, PlotRange -> Full, Mesh -> None, Boxed -> False, Axes -> None, PlotPoints -> 400, ImageSize -> 3000, Background -> Darker[Orange, 0.8], PlotStyle -> Directive[Specularity[White, 30], Texture[Import["D:/tmp/861.jpg"]]], TextureCoordinateFunction -> ({#4 + #5, #5/Pi} &), Lighting -> "Neutral"]; a = 2; (* center hole size of a torus *) b = 8; (* octa-torus *) c = 8; (* distance from the center of rotation *) d = 6; (* number of torus *) f[v_] := 2 TriangleWave[{-1, 1}, v] ; g[v_] := 2 TriangleWave[{-1, 1}, v + 1/4] ; x = (a - f[t] - g[b s]) f[s + Pi/(2 b)] + c; y = g[t] + c; z = (a - f[t] - g[b s]) g[s + Pi/(2 b)] + c; rot = Table[{x, y, z}.RotationMatrix[2 i Pi /d, {1, 0, 1}], {i, d}]; ParametricPlot3D[rot, {t, 0, 1}, {s, 0, 1}] (* --- The Texture is another color version of this: www.flickr.com/photos/tanaka_juuyoh/5412528282 *) SetOptions[ParametricPlot3D, PlotRange -> Full, Mesh -> None, Boxed -> False, Axes -> None, PlotPoints -> 400, ImageSize -> 3000, Background -> Darker[Orange, 0.8], PlotStyle -> Directive[Specularity[White, 30], Texture[Import["D:/tmp/861.jpg"]]], TextureCoordinateFunction -> ({#4 + #5, #5/Pi} &), Lighting -> "Neutral"]; a = 2; (* center hole size of a torus *) b = 8; (* octa-torus *) c = 8; (* distance from the center of rotation *) d = 6; (* number of torus *) f[v_] := 2 TriangleWave[{-1, 1}, v] ; g[v_] := 2 TriangleWave[{-1, 1}, v + 1/4] ; x = (a - f[t] - g[b s]) f[s + Pi/(2 b)] + c; y = g[t] + c; z = (a - f[t] - g[b s]) g[s + Pi/(2 b)] + c; rot = Table[{x, y, z}.RotationMatrix[2 i Pi /d, {1, 0, 1}], {i, d}]; ParametricPlot3D[rot, {t, 0, 1}, {s, 0, 1}] (* --- The Texture is another color version of this: www.flickr.com/photos/tanaka_juuyoh/5412528282 *) | ||||
