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I tried to plot the region bounded by the three planes. This is supposed to give me a pyramid type of shape (actually two, but I am just taking one of them). The code is given by

RegionPlot3D[
 x - Sqrt[2]*z >= 0 && Sqrt[2]*x + Sqrt[3]*y + z >= 0 && 
  Sqrt[2]*x - Sqrt[3]*y + z >= 0, {x, 0, 12}, {y, -20, 20}, {z, -20, 
  20}, AxesLabel -> Automatic, Mesh -> None, 
 PlotStyle -> Directive[Yellow, Opacity[0.5]]]

I am getting kinkiness in the lines created by joining of two planes, plot of pyramid

Is it a problem in my graphics card? However, I have checked in different machines and in versions 6, 7 and 8. I got the same situation in all of them. May be it is the similar kind of problem as posted here. I am not sure exactly what modification has to be made. Advanced thanks for any help.

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RSG
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1 Answers1

7

Increase the number of Plotpoints:

RegionPlot3D[x - Sqrt[2]*z >= 0 && Sqrt[2]*x + Sqrt[3]*y + z >= 0 && 
  Sqrt[2]*x - Sqrt[3]*y + z >= 0, {x, 0, 12}, {y, -20, 20}, {z, -20, 
  20}, AxesLabel -> Automatic, Mesh -> None, 
 PlotStyle -> Directive[Yellow, Opacity[0.5]], PlotPoints -> 150]

enter image description here

Vitaliy Kaurov
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