Ragged region boundary
- To: mathgroup at smc.vnet.net
- Subject: [mg123240] Ragged region boundary
- From: Chris Young <cy56 at comcast.net>
- Date: Mon, 28 Nov 2011 05:54:41 -0500 (EST)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
Would anyone have any tips on how to get a better region boundary here? Maybe via CountourPlot3D? Actually, if I use PlotPoints -> 200, it's OK, but it's extremely slow to plot then, of course. Also, I don't want the horizontal "boundary" line at the equator. Can't see why this is considered a boundary line anyway. http://home.comcast.net/~cy56/RegionBoundary.nb http://home.comcast.net/~cy56/RegionBoundary.png Manipulate[ ParametricPlot3D[ torus[c, a, u, v], {u, 0, 2 \[Pi]}, {v, 0, 2 \[Pi]}, MeshFunctions -> {{x, y, z, \[Theta], \[Phi]} \[Function] z + Tan[tilt] x}, RegionFunction -> ({x, y, z, \[Theta], \[Phi]} \[Function] z <= -Tan[tilt] x), Mesh -> mesh, MeshStyle -> {Lighter[Yellow], Tube[tubeR]}, BoundaryStyle -> {Lighter[Red], Tube[tubeR]}, PlotStyle -> {Orange, Opacity[opac]}, PlotPoints -> plotPts, Axes -> True, AxesLabel -> {"x", "y", "z"}, PlotRange -> {{-4, 4}, {-4, 4}, {-3, 3}}, BoxRatios -> {8, 8, 6}, ViewPoint -> { viewR Cos[view\[Theta]] Sin[view\[Phi]], viewR Sin[view\[Theta]] Sin[view\[Phi]], viewR Cos[view\[Phi]] }, PerformanceGoal -> "Quality" ], {{c, 3}, 0, 4}, {{a, 1}, 0, 3}, {{sphereR, 0.1}, 0, 0.5}, {{tubeR, 0.05}, 0, 0.5}, {{opac, 0.5}, 0, 1}, {{mesh, 1}, 0, 16, 1}, {{tilt, N[ArcSin[a/c]]}, 0, \[Pi]/2, \[Pi]/36}, {{plotPts, 50}, 0, 100, 5}, {{viewR, 100}, 0, 100, 5}, {{view\[Theta], \[Pi]/2}, 0, 2 \[Pi], \[Pi]/36}, {{view\[Phi], \[Pi]/2}, 0, \[Pi], \[Pi]/36} ]
