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Here is a simple 3D plot, but some part of the plot is excluded. 

wq[k_, xe_] := Max[ 90 xe - k, -5] 
Plot3D[ wq[k, xe] , {k, 0, 50}, {xe, 0, 0.5}]
Plot3D[ wq[k, xe] , {k, 0, 50}, {xe, 0, 0.5}, Exclusions -> None, 
 PlotPoints -> 100]

Although I can fix the problem by using Exclusions->None, I am still puzzled by why there is such a large gap in the original plot. In fact, my original plot range was very small, and the entire surface was excluded-- I got an empty plot. I spent hours looking for errors and finally realized that I was plotting an excluded area. Could any expert explain how exclusion area is determined in Mathematica? Why such a large area is excluded in such a simple plot? Thank you so much.

enter image description here

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  • $\begingroup$ no such problem in V 12 in windows 10. screen shot !Mathematica graphics $\endgroup$ – Nasser Sep 3 at 17:32
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    $\begingroup$ This is strange. When I run it again, now the gap shows up! May be it was a chance first time it worked. !Mathematica graphics. But if you add Exclusions -> "Singularities" to first plot, then it becomes OK. Look at help for Exclusions $\endgroup$ – Nasser Sep 3 at 17:40

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