画一个大苹果🍎


参数方程如下

{x=cos(u)(cos(v)+1)+0.085cos(5u)y=(1+cos(u))sin(u)z=0.7log(1vπ)+6sin(v)+2cos(v) \begin{cases} x=\cos (u) (\cos (v)+1)+0.085 \cos (5 u) \\ y = (1 + \cos (u)) \sin(u)\\ z=-0.7 \log \left(1-\frac{v}{\pi }\right)+6 \sin (v)+2 \cos (v) \end{cases}

u,v[π,π]u,v\in [-\pi ,\pi ]

Mathematica代码

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ParametricPlot3D[{(1 + Cos[v]) Cos[u] + 
0.085 Cos[5 u], (1 + Cos[v]) Sin[u],
6 Sin[v] + 2 Cos[v] -
0.7 Log[1 - v/\[Pi]]}, {u, -\[Pi], \[Pi]}, {v, -\[Pi], \[Pi]},
Mesh -> None, BoxRatios -> 1, PlotStyle -> Red]

鲜美好吃的苹果就完成了!🍎