Inverting the order of a Table - Prime numbers












1












$begingroup$


In a previous post I asked for the possibility to have a binary image of the coprimality inside the natural numbers. The following code



     TableForm[
table = Table[Boole[CoprimeQ[m, n]], {m, 13}, {n, 13}],
TableHeadings -> {Range[13], Range[13]}]


together with



     table == Table[Boole[GCD[m, n] == 1], {m, 13}, {n, 13}]

(* True *)

ArrayPlot[table, FrameTicks -> {Range[13], Range[13]}]


provides the following the result



enter image description here



Unfortunately, I need a plot as given below.



enter image description here



The problem is that the vertical axis should go from 1 to 13 and not vice versa. Any idea or tip?










share|improve this question









$endgroup$








  • 1




    $begingroup$
    Reverse.....?
    $endgroup$
    – Henrik Schumacher
    Dec 31 '18 at 23:33
















1












$begingroup$


In a previous post I asked for the possibility to have a binary image of the coprimality inside the natural numbers. The following code



     TableForm[
table = Table[Boole[CoprimeQ[m, n]], {m, 13}, {n, 13}],
TableHeadings -> {Range[13], Range[13]}]


together with



     table == Table[Boole[GCD[m, n] == 1], {m, 13}, {n, 13}]

(* True *)

ArrayPlot[table, FrameTicks -> {Range[13], Range[13]}]


provides the following the result



enter image description here



Unfortunately, I need a plot as given below.



enter image description here



The problem is that the vertical axis should go from 1 to 13 and not vice versa. Any idea or tip?










share|improve this question









$endgroup$








  • 1




    $begingroup$
    Reverse.....?
    $endgroup$
    – Henrik Schumacher
    Dec 31 '18 at 23:33














1












1








1





$begingroup$


In a previous post I asked for the possibility to have a binary image of the coprimality inside the natural numbers. The following code



     TableForm[
table = Table[Boole[CoprimeQ[m, n]], {m, 13}, {n, 13}],
TableHeadings -> {Range[13], Range[13]}]


together with



     table == Table[Boole[GCD[m, n] == 1], {m, 13}, {n, 13}]

(* True *)

ArrayPlot[table, FrameTicks -> {Range[13], Range[13]}]


provides the following the result



enter image description here



Unfortunately, I need a plot as given below.



enter image description here



The problem is that the vertical axis should go from 1 to 13 and not vice versa. Any idea or tip?










share|improve this question









$endgroup$




In a previous post I asked for the possibility to have a binary image of the coprimality inside the natural numbers. The following code



     TableForm[
table = Table[Boole[CoprimeQ[m, n]], {m, 13}, {n, 13}],
TableHeadings -> {Range[13], Range[13]}]


together with



     table == Table[Boole[GCD[m, n] == 1], {m, 13}, {n, 13}]

(* True *)

ArrayPlot[table, FrameTicks -> {Range[13], Range[13]}]


provides the following the result



enter image description here



Unfortunately, I need a plot as given below.



enter image description here



The problem is that the vertical axis should go from 1 to 13 and not vice versa. Any idea or tip?







plotting table prime-numbers






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked Dec 31 '18 at 21:59









Spook82Spook82

265




265








  • 1




    $begingroup$
    Reverse.....?
    $endgroup$
    – Henrik Schumacher
    Dec 31 '18 at 23:33














  • 1




    $begingroup$
    Reverse.....?
    $endgroup$
    – Henrik Schumacher
    Dec 31 '18 at 23:33








1




1




$begingroup$
Reverse.....?
$endgroup$
– Henrik Schumacher
Dec 31 '18 at 23:33




$begingroup$
Reverse.....?
$endgroup$
– Henrik Schumacher
Dec 31 '18 at 23:33










1 Answer
1






active

oldest

votes


















3












$begingroup$

Use the option DataReversed:



ArrayPlot[table, Frame -> True, FrameTicks -> {Range[13], Range[13]}, 
DataReversed -> True, Mesh -> All]


enter image description here



table2 = Table[Boole[And @@ PrimeQ[{m, n}]], {m, 13}, {n, 13}];
ArrayPlot[table2, Frame -> True, FrameTicks -> {Range[13], Range[13]},
DataReversed -> True, Mesh -> All]


enter image description here






share|improve this answer











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    1 Answer
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    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

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    active

    oldest

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    3












    $begingroup$

    Use the option DataReversed:



    ArrayPlot[table, Frame -> True, FrameTicks -> {Range[13], Range[13]}, 
    DataReversed -> True, Mesh -> All]


    enter image description here



    table2 = Table[Boole[And @@ PrimeQ[{m, n}]], {m, 13}, {n, 13}];
    ArrayPlot[table2, Frame -> True, FrameTicks -> {Range[13], Range[13]},
    DataReversed -> True, Mesh -> All]


    enter image description here






    share|improve this answer











    $endgroup$


















      3












      $begingroup$

      Use the option DataReversed:



      ArrayPlot[table, Frame -> True, FrameTicks -> {Range[13], Range[13]}, 
      DataReversed -> True, Mesh -> All]


      enter image description here



      table2 = Table[Boole[And @@ PrimeQ[{m, n}]], {m, 13}, {n, 13}];
      ArrayPlot[table2, Frame -> True, FrameTicks -> {Range[13], Range[13]},
      DataReversed -> True, Mesh -> All]


      enter image description here






      share|improve this answer











      $endgroup$
















        3












        3








        3





        $begingroup$

        Use the option DataReversed:



        ArrayPlot[table, Frame -> True, FrameTicks -> {Range[13], Range[13]}, 
        DataReversed -> True, Mesh -> All]


        enter image description here



        table2 = Table[Boole[And @@ PrimeQ[{m, n}]], {m, 13}, {n, 13}];
        ArrayPlot[table2, Frame -> True, FrameTicks -> {Range[13], Range[13]},
        DataReversed -> True, Mesh -> All]


        enter image description here






        share|improve this answer











        $endgroup$



        Use the option DataReversed:



        ArrayPlot[table, Frame -> True, FrameTicks -> {Range[13], Range[13]}, 
        DataReversed -> True, Mesh -> All]


        enter image description here



        table2 = Table[Boole[And @@ PrimeQ[{m, n}]], {m, 13}, {n, 13}];
        ArrayPlot[table2, Frame -> True, FrameTicks -> {Range[13], Range[13]},
        DataReversed -> True, Mesh -> All]


        enter image description here







        share|improve this answer














        share|improve this answer



        share|improve this answer








        edited Jan 1 at 2:52

























        answered Dec 31 '18 at 22:09









        kglrkglr

        181k10200414




        181k10200414






























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