I would like to make a plot of a function defined just for integer values, like

f[n_, m_] := 2 - (1/IntegerPart[n]) - (1/IntegerPart[m])

If I try to plot

Plot3D[f[n, m], {n, 1, 6}, {m, 1, 6}, PlotRange -> All, 
PlotPoints -> 100, Exclusions -> None, 
ColorFunction -> "BlueGreenYellow"]

I need this 100 points to get a "decent" result. This takes a long time, and the result is not very similar as the histogram one. Do you know if there is anyway to do this?

Thanks in advance!

  • $\begingroup$ There's ListPointPlot3D and ListPlot3D. But I'm confused: If 1 <= n <=6 and 1 <= m <= 6 and n, m are integers, then there are only 36 points. $\endgroup$
    – Michael E2
    Apr 21, 2013 at 22:47
  • $\begingroup$ Sorry, I didn copied propperly, now is updated. THe problem in doing the ListPlot3D does only plot a point, I would like to have the chart bars aspect, like in the Histogram3D case. $\endgroup$
    – pablo
    Apr 21, 2013 at 22:53

1 Answer 1


Is this what you're after?

DiscretePlot3D[f[n, m], {n, 1, 6}, {m, 1, 6}, PlotRange -> All, 
 ColorFunction -> "BlueGreenYellow", ExtentSize -> Full]

Plot of function

  • $\begingroup$ Awesome! You saved my life! I million thanks ;) $\endgroup$
    – pablo
    Apr 23, 2013 at 21:57

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