I'm making the ticks labels of my plot using the rule:

FrameTicks -> {{N@FindDivisions[{Min@data1, Max@data2}, 6], None},
    {Range[1960, 2015, 10], None}}

This is generating the ticks I want on both axes pretty well. The only problem is that the y-axis ticks vary in the number of decimal places, which I do not want. Is there a way to make all those numbers have the same number of decimal places as the one with the most decimal places?

I wanted to use something like NumberForm[ticks, {∞, n}] with ticks being the N@..., 6] above, but I'm not sure what n should be to just go with the tick mark with the most decimal places.

Thank you!


1 Answer 1


First, generate the ticks and their labels with whatever range is desired.

ticks[min_, max_] := Module[{d = FindDivisions[{min, max}, 6], n}, 
    n = Ceiling@Log10@Max@Denominator@d; {#, NumberForm[#, {∞, n}]} & /@ N@d]

For instance,

t = ticks[.01,.03]
(* {{0.01, NumberForm[0.01, {∞, 3}]}, {0.015, NumberForm[0.015, {∞, 3}]}, 
    {0.02, NumberForm[0.02, {∞, 3}]}, {0.025, NumberForm[0.025, {∞, 3}]}, 
    {0.03, NumberForm[0.03, {∞, 3}]}} *)

(The Output actually looks like enter image description here .)

They can then be used as, for instance,

Plot[x, {x, 0, .04}, Ticks -> {Automatic, t}, AspectRatio -> 1]

enter image description here

  • $\begingroup$ Thank you! Then my only issue is generating that number (n, or 3) of decimal places. This is actually inside a loop that generates 36 graphs; how can I automate determining how many decimal places to make? Some graphs need 2, 3, or 4 decimal places. $\endgroup$ Commented Sep 10, 2016 at 15:52
  • $\begingroup$ @user3769181, n is computed in the function ticks. (Or, do I misunderstand your comment?) $\endgroup$
    – bbgodfrey
    Commented Sep 10, 2016 at 15:55
  • $\begingroup$ I think maybe I just didn't understand what's happening in the function. It's starting to make sense; what is # doing? $\endgroup$ Commented Sep 10, 2016 at 16:19
  • $\begingroup$ @user3769181 The function {#, NumberForm[#, {∞, n}]} & /@ N@d maps each element of N@d (which is a list of the locations of the ticks), into a list of locations and formatted tick labels (the list of pairs enclosed in (* *) in the answer). Review the documentation of Map for details. Later, Plot puts each tick label at the corresponding tick location. Review the documentation of Ticks for details. $\endgroup$
    – bbgodfrey
    Commented Sep 10, 2016 at 16:26
  • $\begingroup$ Alright, fantastic. This works well. Thank you so much! $\endgroup$ Commented Sep 10, 2016 at 16:33

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