Skip to main content

plotting - How to write Morse code into Plot Dashing?



How can we define a dashing pattern in a plot such that it reads arbitrary text in Morse code?


For instance


Graphics[{DotDashed, Line[{{0, 0}, {5, 0}}]}]


Mathematica graphics



this could be interpreted as ".-" that is "a" in Morse code.


Proper spacing would be desirable in order to distinguish ".-" (a) from "-." (n).


(Inspired by @rcollyer's comment to my answer to this question.)




Answer



First define the Morse code (from rosettacode.org with corrections by @evanb)


morsecode = (#1 -> Characters[#2]) & @@@ {
   {"a", ".-"}, {"b", "-..."}, {"c", "-.-."},
   {"d", "-.."}, {"e", "."}, {"f", "..-."},
   {"g", "--."}, {"h", "...."}, {"i", ".."},
   {"j", ".---"}, {"k", "-.-"}, {"l", ".-.."},
   {"m", "--"}, {"n", "-."}, {"o", "---"},
   {"p", ".--."}, {"q", "--.-"}, {"r", ".-."},
   {"s", "..."}, {"t", "-"}, {"u", "..-"},

   {"v", "...-"}, {"w", ".--"}, {"x", "-..-"},
   {"y", "-.--"}, {"z", "--.."}, {"0", "-----"},
   {"1", ".----"}, {"2", "..---"}, {"3", "...--"},
   {"4", "....-"}, {"5", "....."}, {"6", "-...."},
   {"7", "--..."}, {"8", "---.."}, {"9", "----."}
   };

Use AbsoluteDashing and define dots as short dashed, lines as long dashes and include proper spacing between symbols and characters.


morserule =  Append[(#[[1]] -> Append[Riffle[#[[2]], 3], 12]) & /@ (morsecode /. {"." -> 2 , "-" -> 7}), " " -> {0, 17}];


toMorseDash[s_String] :=  Flatten[Characters[ToLowerCase@s] /. morserule]

Now we can test in a simple line.


Graphics[{Thickness[0.02], AbsoluteDashing[toMorseDash[" Morse Code "]], Line[{{0, 0}, {15, 0}}]}]


Mathematica graphics



For plots, use PlotStyle-> AbsoluteDashing[toMorseDash["text"]]


Plot[Sin[t], {t, 0, 4 Pi}, PlotStyle -> {Thick, AbsoluteDashing[toMorseDash[" Sine Wave"]]}]



Mathematica graphics



Comments

Post a Comment

Popular posts from this blog

front end - keyboard shortcut to invoke Insert new matrix

I frequently need to type in some matrices, and the menu command Insert > Table/Matrix > New... allows matrices with lines drawn between columns and rows, which is very helpful. I would like to make a keyboard shortcut for it, but cannot find the relevant frontend token command (4209405) for it. Since the FullForm[] and InputForm[] of matrices with lines drawn between rows and columns is the same as those without lines, it's hard to do this via 3rd party system-wide text expanders (e.g. autohotkey or atext on mac). How does one assign a keyboard shortcut for the menu item Insert > Table/Matrix > New... , preferably using only mathematica? Thanks! Answer In the MenuSetup.tr (for linux located in the $InstallationDirectory/SystemFiles/FrontEnd/TextResources/X/ directory), I changed the line MenuItem["&New...", "CreateGridBoxDialog"] to read MenuItem["&New...", "CreateGridBoxDialog", MenuKey["m", Modifiers-...
Post a Comment
Read more

How to thread a list

I have data in format data = {{a1, a2}, {b1, b2}, {c1, c2}, {d1, d2}} Tableform: I want to thread it to : tdata = {{{a1, b1}, {a2, b2}}, {{a1, c1}, {a2, c2}}, {{a1, d1}, {a2, d2}}} Tableform: And I would like to do better then pseudofunction[n_] := Transpose[{data2[[1]], data2[[n]]}]; SetAttributes[pseudofunction, Listable]; Range[2, 4] // pseudofunction Here is my benchmark data, where data3 is normal sample of real data. data3 = Drop[ExcelWorkBook[[Column1 ;; Column4]], None, 1]; data2 = {a #, b #, c #, d #} & /@ Range[1, 10^5]; data = RandomReal[{0, 1}, {10^6, 4}]; Here is my benchmark code kptnw[list_] := Transpose[{Table[First@#, {Length@# - 1}], Rest@#}, {3, 1, 2}] &@list kptnw2[list_] := Transpose[{ConstantArray[First@#, Length@# - 1], Rest@#}, {3, 1, 2}] &@list OleksandrR[list_] := Flatten[Outer[List, List@First[list], Rest[list], 1], {{2}, {1, 4}}] paradox2[list_] := Partition[Riffle[list[[1]], #], 2] & /@ Drop[list, 1] RM[list_] := FoldList[Transpose[{First@li...
Post a Comment
Read more

mathematical optimization - Minimizing using indices, error: Part::pkspec1: The expression cannot be used as a part specification

I want to use Minimize where the variables to minimize are indices pointing into an array. Here a MWE that hopefully shows what my problem is. vars = u@# & /@ Range[3]; cons = Flatten@ { Table[(u[j] != #) & /@ vars[[j + 1 ;; -1]], {j, 1, 3 - 1}], 1 vec1 = {1, 2, 3}; vec2 = {1, 2, 3}; Minimize[{Total@((vec1[[#]] - vec2[[u[#]]])^2 & /@ Range[1, 3]), cons}, vars, Integers] The error I get: Part::pkspec1: The expression u[1] cannot be used as a part specification. >> Answer Ok, it seems that one can get around Mathematica trying to evaluate vec2[[u[1]]] too early by using the function Indexed[vec2,u[1]] . The working MWE would then look like the following: vars = u@# & /@ Range[3]; cons = Flatten@{ Table[(u[j] != #) & /@ vars[[j + 1 ;; -1]], {j, 1, 3 - 1}], 1 vec1 = {1, 2, 3}; vec2 = {1, 2, 3}; NMinimize[ {Total@((vec1[[#]] - Indexed[vec2, u[#]])^2 & /@ R...
Post a Comment
Read more