Lamp shade from analytic expression
thingiverse
Lamp shade fashioned from an intricate mathematical formula utilizing this Mathematica code in case of scenario one: ParametricPlot3D[ {If[z > 0, Cos[z], Exp[z/5]]* (Cos[u] + (1 + Tanh[z + Pi/2])*(0.13 Sin[5 (u + z)] + 0.01 Sin[2.5 (u + z)]^2)*0.4 Cos[z]^2 + (1 + Tanh[z]) Cos[ 15*z]*0.05), If[z > 0, Cos[z], Exp[z/5]]*(Sin[u] + (1 + Tanh[z + Pi/2])*(0.13 Cos[5 (u + z)] + 0.01 Sin[2.5 (u + z)]^2)* 0.4 Cos[z]^2 + (1 + Tanh[z]) Sin[ 15*z]*0.05), z}, {u, 0, 2 Pi}, {z, -0.8 Pi, Pi/2}, PlotPoints -> 200] Print using e.g. vase option of slic3r or with a single wall. Scenario two is tailored for smaller overhang angles.
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