davidarnold
September 21, 2016, 8:34pm
1
I’d like to find some good ways to create the 3D region by taking the region bounded by y=x^4 and y=1 and rotating it about the line y=2 .
sghuisman
September 22, 2016, 8:58am
2
I’m pretty sure you would have to use ImplicitRegion or ParametricRegion for this. E.g.:
region = ImplicitRegion[(2 - Sqrt[(y - 2)^2 + z^2]) > x^4 \[And] Sqrt[(y - 2)^2 + z^2] > 1, {x, y, z}]
RegionPlot3D[region, PlotRange -> {{-2, 2}, {-1, 5}, {-2, 2}}, PlotPoints -> 60, Axes -> True]
This was double posted, here and on the SE. RegionPlot3D doesn’t always produce the nicest plots so I used the user-defined contourRegionPlot3D in the answer here .
