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a = 4; (* center hole size of torus *) b = 8; (* octa-torus *) d = 3; (* 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/71.jpg"]]], TextureCoordinateFunction -> ({#4, #5 b Pi} &), Lighting -> "Neutral"]; g[v_] := Sum[Cos[(2 k - 1) v]/(2 k - 1), {k, 4}]; x = (a - Cos[t] - Sin[b s]) g[s + Pi/(2 b)]; y = Sin[t]; z = (a - Cos[t] - Sin[b s]) Sin[s + Pi/(2 b)]; rot = Table[{x, y, z}.RotationMatrix[2 i Pi/d, {1, 0, 0}], {i, d}]; ParametricPlot3D[rot, {t, 0, 2 Pi}, {s, 0, 2 Pi}] (*--- The Texture The g[] is a 4-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4項 *)
The free high-resolution photo of structure, plant, fruit, texture, leaf, flower, pattern, food, green, produce, vegetable, geometry, gourd, sculpture, design, symmetry, 3d, graphic, shape, torus, mathematica, cg, parametricplot3d, code, program, algorithm, mapping, geometricsculpture, arum, flowering plant, land plant
, taken with an unknown camera 01/17 2017 The picture taken with
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