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ParametricRegion in 3D?

Posted 9 years ago

The following is an example from ParametricRegion help. It works fine.

region = ParametricRegion[{Cos[\[Theta]], Sin[\[Theta]]}, {{\[Theta], 0, 2 \[Pi]}}]
RegionPlot[region]

Here is a similar example in 3D. I expect to get a part of a helix but only obtain an empty bounding box.

region = ParametricRegion[{Cos[\[Theta]], Sin[\[Theta]], \[Theta]}, {{\[Theta], 0, 2 \[Pi]}}]
RegionPlot3D[region, Axes -> True]

Am I doing something incorrectly?

The documentation for RegionPlot3D states: "RegionPlot3D[pred, {x, xmin, xmax}, {y, ymin, ymax}, {z, zmin, zmax}] makes a plot showing the three-dimensional region in which pred is True" and "The predicate pred can be any logical combination of inequalities." Consequently, RegionPlot3D[region] is not the correct syntax.

POSTED BY: Robert Hanlon
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