Question

I have a ListPointPlot3D plot and all three axes contain a logarithmic distribution of data points.

Like this:

..... .  .    .        .                .                                .

How do I force Mathematica to make the axes’ scales logarithmic so that I get a linear distribution of data points across them?

Thanks

Answer 1

AFAIK there isn’t a LogLogLogPlot, so the next best thing would be to take the logs of your data and plot those. You then have to come up with Ticks of your own.

A rough version:

tks = {1, 2, 5, 10, 20, 50, 100, 200, 500, 1000, 2000, 5000, 10000};
list = 10^RandomReal[{0, 4}, {100, 3}]

ListPointPlot3D[Log[10, list]}, 
   Ticks ->
    {
      {Log[10, tks], tks}\[Transpose],
      {Log[10, tks], tks}\[Transpose],
      {Log[10, tks], tks}\[Transpose]
    }, 
    BoxRatios -> 1, PlotStyle -> PointSize -> 0.02
]

Ticks has many more possibilities to beautify your scale. I trust you’ll find your way to its location in the manual.