# How is the scale of ParametricPlot3D determined?

I define a couple ParametricPlot3D planes like so;

xyPlane = ParametricPlot3D[{0, y, z}, {y, -5, 5}, {z, -5, 5}];
yzPlane = ParametricPlot3D[{x, 0, z}, {x, -5, 5}, {z, -5, 5}];


Calling Show without BoxRatios returns

Whereas BoxRatios -> {10, 10, 10}

returns

Note the difference in gridlines. Is there some way to make them uniform? More generally, is it known what is going on under the hood of ParametricPlot3d that causes this?

• You want AspectRatio as true BoxRatio for all three axes, right? Mar 31 '18 at 17:33
• I'm not sure. I am about to try messing with Mesh, but fundamentally I want to understand howParametricPlot3d decides this stuff. Mar 31 '18 at 17:43
• @Narasimham, yes. Mar 31 '18 at 17:47
• I had long felt that an option for automatic proportional scaling was lacking in the Plot menu. Mar 31 '18 at 17:52
• @Narasimham So, what setting should I use to get correct output? Mar 31 '18 at 17:58