Re: Axes in Plot3D and ListPlot3D

*To*: mathgroup at smc.vnet.net*Subject*: [mg131231] Re: Axes in Plot3D and ListPlot3D*From*: Tomas Garza <tgarza10 at msn.com>*Date*: Wed, 19 Jun 2013 01:28:30 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-outx@smc.vnet.net*Delivered-to*: mathgroup-newsendx@smc.vnet.net*References*: <20130617102511.B69AD674E@smc.vnet.net>

The explanation lies in how Table constructs the array. The definition in the Help browser says Table[expr,{i,Subscript[i, min],Subscript[i, max]},{j,Subscript[j, \ min],Subscript[j, max]},=85] gives a nested list. The list associated with i is \ outermost. This is, I agree, contrary to what happens with a double integral, where the inner integral goes first. And, of course, it is not consistent with the way Plot3D works. -Tomas > From: koopman at sfu.ca > Subject: Axes in Plot3D and ListPlot3D > To: mathgroup at smc.vnet.net > Date: Mon, 17 Jun 2013 06:25:11 -0400 > > Plot3D[Sin[x + y^2],{x,-3,3},{y,-3,3},AxesLabel->{"x","y","z"}] > > gives a plot that I thought I could duplicate by creating a table > > z = Table[Sin[x + y^2],{x,-3,3,1/4},{y,-3,3,1/4}]; > > and then using ListPlot3D: > > ListPlot3D[z,AxesLabel->{"x","y","z"},MeshRange->{{-3,3},{-3,3}}] . > > That gives a different view of the same surface, with the wrong labels > on the axes. To duplicate the Plot3D result I must transpose the array: > > ListPlot3D[Transpose@z,AxesLabel->{"x","y","z"},MeshRange->{{-3,3},{-3,3}}] > > That seems unreasonable. What have I missed? > Is it mentioned somewhere in the documentation? >

**References**:**Axes in Plot3D and ListPlot3D***From:*Ray Koopman <koopman@sfu.ca>