Re: Plotting surface with thickness
- To: mathgroup at smc.vnet.net
- Subject: [mg100993] Re: Plotting surface with thickness
- From: ADL <alberto.dilullo at tiscali.it>
- Date: Fri, 19 Jun 2009 20:47:46 -0400 (EDT)
- References: <h1cv87$jet$1@smc.vnet.net>
Bill, this is a way in which your type of result can be achieve with Mathematica 7.0. I think it should work also in version 6. ClearAll[fronty]; fronty[yv_] := Module[{l1, l2}, {l1, l2} = Cases[gy[yv], Line[x_] -> x, Infinity]; Graphics3D[Polygon[Insert[#, yv, 2] & /@ (Join[l1, Reverse[l2]])]] ]; ClearAll[frontx]; frontx[xv_] := Module[{l1, l2}, {l1, l2} = Cases[gx[xv], Line[x_] -> x, Infinity]; Graphics3D[Polygon[Insert[#, xv, 1] & /@ (Join[l1, Reverse[l2]])]] ]; top = Plot3D[Sin[x y], {x, -1, 1}, {y, -1, 1}]; bottom = Plot3D[Sin[x y] - 0.5, {x, -1, 1}, {y, -1, 1}]; g3D = Plot3D[{Sin[x y], Sin[x y] - 0.5}, {x, -1, 1}, {y, -1, 1}]; gy[-1] = Plot[{Sin[x y], Sin[x y] - 0.5} /. y -> -1 // Evaluate, {x, -1, 1}]; gy[1] = Plot[{Sin[x y], Sin[x y] - 0.5} /. y -> 1 // Evaluate, {x, -1, 1}]; gx[-1] = Plot[{Sin[x y], Sin[x y] - 0.5} /. x -> -1 // Evaluate, {y, -1, 1}]; gx[1] = Plot[{Sin[x y], Sin[x y] - 0.5} /. x -> 1 // Evaluate, {y, -1, 1}]; Show[g3D, fronty[-1], fronty[1], frontx[-1], frontx[1]] The last command produces walls on all the sides of the floor and ceiling surfaces. ADL On Jun 18, 10:52 am, Bill <WDWNORW... at aol.com> wrote: > Plotting surface with thickness > > Hi: > > Using the following code with Mathematica 5.2 works without any problem. > Using it with Mathematica 6.0.1 doesn't work. > > top = Plot3D[Sin[x y], {x, -1, 1}, {y, -1, 1}] > bottom = Plot3D[Sin[x y] - 0.5, {x, -1, 1}, {y, -1, 1}] > g = Plot[{Sin[x y], Sin[x y] - 0.5} /. y -> -1 // Evaluate, {x, -1, 1}] > > (* Mathematica 5.2 works with the following line, Mathematica 6.0.1 does = not. *) > > front = Graphics3D[ > Polygon[Insert[#, -1, 2] & /@ > Join[g[[1, 1, 1, 1, 1]], Reverse[g[[1, 2, 1, 1, 1]]]]]] > > Question: How can the code (front) be modified to run in Mathematica 6.0.= 1? > > Thanks, > > Bill > > Ref: http://forums.wolfram.com/student-support/topics/7384