Re: 3D Rotations

*To*: mathgroup at smc.vnet.net*Subject*: [mg125955] Re: 3D Rotations*From*: "Alexander Elkins" <alexander_elkins at hotmail.com>*Date*: Mon, 9 Apr 2012 05:34:59 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*References*: <jlh0o5$t75$1@smc.vnet.net>

Currently you have this cross-sectional view: Show[Plot[x^3, {x, 0, 2}], Graphics[{Arrowheads[{-.05, .05}], Arrow[{{0, 0}, {0, 8}}]}]] My guess is that you want a cross-sectional view like this: Show[Plot[(x - 1)^3, {x, 0, 2}], Graphics[{Arrowheads[{-.05, .05}], Arrow[{{0, -1}, {0, 1}}]}]] Just enter the following to see this as a surface of revolution: RevolutionPlot3D[(x - 1)^3, {x, 0, 2}, AxesLabel -> (Style[#, 16, Italic] & /@ {x, z, y})] To place several of these, use [[1]] to pick out the graphics like so: Graphics3D[{GeometricTransformation[ RevolutionPlot3D[(x - 1)^3, {x, 0, 2}][[1]], { {RotationMatrix[0 Degree, {0, 1, 0}], {0, 0, 2}}, {RotationMatrix[90 Degree, {0, 1, 0}], {2, 0, 0}}, {RotationMatrix[180 Degree, {0, 1, 0}], {0, 0, -2}}, {RotationMatrix[-90 Degree, {0, 1, 0}], {-2, 0, 0}}}], Thick, Magenta, Line[{{{0, 0, -2}, {0, 0, 2}}, {{-2, 0, 0}, {2, 0, 0}}}]}] Hope this helps... "Mike Zentner" <zentner.mike at gmail.com> wrote in message news:jlh0o5$t75$1 at smc.vnet.net... > I am trying to rotate a function around a variable axis to show my > students how the solid looks and am having problems with the axis of > rotation. > > Basic example: > > RevolutionPlot3D[x^3, {x, 0, 2}, AxesLabel -> {x, z, y}] > > However I want the function to rotate around an axis other than x == > 0, say, x == -1. I have tried the RevolutionAxis command but it isn't > working. Any help would be appreciated. >