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Drawing a sequence of circles


Arcs of rotation for anglesDrawing pairs (planar graph, circle packing)Coloring circles based on radiusPlot Two Circles and color their differenceHow to demonstrate a limit without having to pre-calculate certain pointsDraw all the circles that touch the x-axis and a unit circleHow to visualize the Cremona method for cardioid generationDrawing Circle using Image[Graphics[]] - incorrect coordinates






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3














$begingroup$


For every natural number from 1 to 150, draw a circle centered on the x-axis in that number and with the diameter equal to the number of divisors of the number. I don't know what should I do.










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fangmiao niu is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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  • 2




    $begingroup$
    Welcome to Mathematica.SE. Are you sure you are posting on the right site? There is nothing in your question making it clear that it is concerned with Mathematica software.
    $endgroup$
    – m_goldberg
    10 hours ago










  • $begingroup$
    What have you tried so far?
    $endgroup$
    – user6014
    10 hours ago

















3














$begingroup$


For every natural number from 1 to 150, draw a circle centered on the x-axis in that number and with the diameter equal to the number of divisors of the number. I don't know what should I do.










share|improve this question









New contributor



fangmiao niu is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$











  • 2




    $begingroup$
    Welcome to Mathematica.SE. Are you sure you are posting on the right site? There is nothing in your question making it clear that it is concerned with Mathematica software.
    $endgroup$
    – m_goldberg
    10 hours ago










  • $begingroup$
    What have you tried so far?
    $endgroup$
    – user6014
    10 hours ago













3












3








3





$begingroup$


For every natural number from 1 to 150, draw a circle centered on the x-axis in that number and with the diameter equal to the number of divisors of the number. I don't know what should I do.










share|improve this question









New contributor



fangmiao niu is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$




For every natural number from 1 to 150, draw a circle centered on the x-axis in that number and with the diameter equal to the number of divisors of the number. I don't know what should I do.







graphics number-theory






share|improve this question









New contributor



fangmiao niu is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|improve this question









New contributor



fangmiao niu is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.








share|improve this question




share|improve this question








edited 10 hours ago









m_goldberg

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asked 10 hours ago









fangmiao niufangmiao niu

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  • 2




    $begingroup$
    Welcome to Mathematica.SE. Are you sure you are posting on the right site? There is nothing in your question making it clear that it is concerned with Mathematica software.
    $endgroup$
    – m_goldberg
    10 hours ago










  • $begingroup$
    What have you tried so far?
    $endgroup$
    – user6014
    10 hours ago












  • 2




    $begingroup$
    Welcome to Mathematica.SE. Are you sure you are posting on the right site? There is nothing in your question making it clear that it is concerned with Mathematica software.
    $endgroup$
    – m_goldberg
    10 hours ago










  • $begingroup$
    What have you tried so far?
    $endgroup$
    – user6014
    10 hours ago







2




2




$begingroup$
Welcome to Mathematica.SE. Are you sure you are posting on the right site? There is nothing in your question making it clear that it is concerned with Mathematica software.
$endgroup$
– m_goldberg
10 hours ago




$begingroup$
Welcome to Mathematica.SE. Are you sure you are posting on the right site? There is nothing in your question making it clear that it is concerned with Mathematica software.
$endgroup$
– m_goldberg
10 hours ago












$begingroup$
What have you tried so far?
$endgroup$
– user6014
10 hours ago




$begingroup$
What have you tried so far?
$endgroup$
– user6014
10 hours ago










2 Answers
2






active

oldest

votes


















8
















$begingroup$

Graphics[
r = Length[Divisors@#]/2;
ColorData["Rainbow"][(r - 1)/7],
Circle[#, 0, r] & /@
Range[150],
ImageSize -> 504]


enter image description here






share|improve this answer










$endgroup$






















    4
















    $begingroup$

    You can get the radii using the built-in function DivisorSigma directly:



    n = 50;
    radii = DivisorSigma[0, Range @ n]/2;


    Coloring the circles based on radius:



    Graphics[MapThread[Thick, ColorData["Rainbow", 0, Max@radii]@#2, Circle[#, 0, #2] &,
    Range[n], radii]]


    enter image description here



    Coloring the circles based on the horizontal coordinate of the center:



    Graphics[ MapThread[Thick, ColorData["Rainbow", 0, n]@#, Circle[#, 0, #2] &, 
    Range[n], radii]]


    enter image description here






    share|improve this answer










    $endgroup$
















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      2 Answers
      2






      active

      oldest

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      2 Answers
      2






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes









      8
















      $begingroup$

      Graphics[
      r = Length[Divisors@#]/2;
      ColorData["Rainbow"][(r - 1)/7],
      Circle[#, 0, r] & /@
      Range[150],
      ImageSize -> 504]


      enter image description here






      share|improve this answer










      $endgroup$



















        8
















        $begingroup$

        Graphics[
        r = Length[Divisors@#]/2;
        ColorData["Rainbow"][(r - 1)/7],
        Circle[#, 0, r] & /@
        Range[150],
        ImageSize -> 504]


        enter image description here






        share|improve this answer










        $endgroup$

















          8














          8










          8







          $begingroup$

          Graphics[
          r = Length[Divisors@#]/2;
          ColorData["Rainbow"][(r - 1)/7],
          Circle[#, 0, r] & /@
          Range[150],
          ImageSize -> 504]


          enter image description here






          share|improve this answer










          $endgroup$



          Graphics[
          r = Length[Divisors@#]/2;
          ColorData["Rainbow"][(r - 1)/7],
          Circle[#, 0, r] & /@
          Range[150],
          ImageSize -> 504]


          enter image description here







          share|improve this answer













          share|improve this answer




          share|improve this answer










          answered 9 hours ago









          Bob HanlonBob Hanlon

          66.6k3 gold badges37 silver badges102 bronze badges




          66.6k3 gold badges37 silver badges102 bronze badges


























              4
















              $begingroup$

              You can get the radii using the built-in function DivisorSigma directly:



              n = 50;
              radii = DivisorSigma[0, Range @ n]/2;


              Coloring the circles based on radius:



              Graphics[MapThread[Thick, ColorData["Rainbow", 0, Max@radii]@#2, Circle[#, 0, #2] &,
              Range[n], radii]]


              enter image description here



              Coloring the circles based on the horizontal coordinate of the center:



              Graphics[ MapThread[Thick, ColorData["Rainbow", 0, n]@#, Circle[#, 0, #2] &, 
              Range[n], radii]]


              enter image description here






              share|improve this answer










              $endgroup$



















                4
















                $begingroup$

                You can get the radii using the built-in function DivisorSigma directly:



                n = 50;
                radii = DivisorSigma[0, Range @ n]/2;


                Coloring the circles based on radius:



                Graphics[MapThread[Thick, ColorData["Rainbow", 0, Max@radii]@#2, Circle[#, 0, #2] &,
                Range[n], radii]]


                enter image description here



                Coloring the circles based on the horizontal coordinate of the center:



                Graphics[ MapThread[Thick, ColorData["Rainbow", 0, n]@#, Circle[#, 0, #2] &, 
                Range[n], radii]]


                enter image description here






                share|improve this answer










                $endgroup$

















                  4














                  4










                  4







                  $begingroup$

                  You can get the radii using the built-in function DivisorSigma directly:



                  n = 50;
                  radii = DivisorSigma[0, Range @ n]/2;


                  Coloring the circles based on radius:



                  Graphics[MapThread[Thick, ColorData["Rainbow", 0, Max@radii]@#2, Circle[#, 0, #2] &,
                  Range[n], radii]]


                  enter image description here



                  Coloring the circles based on the horizontal coordinate of the center:



                  Graphics[ MapThread[Thick, ColorData["Rainbow", 0, n]@#, Circle[#, 0, #2] &, 
                  Range[n], radii]]


                  enter image description here






                  share|improve this answer










                  $endgroup$



                  You can get the radii using the built-in function DivisorSigma directly:



                  n = 50;
                  radii = DivisorSigma[0, Range @ n]/2;


                  Coloring the circles based on radius:



                  Graphics[MapThread[Thick, ColorData["Rainbow", 0, Max@radii]@#2, Circle[#, 0, #2] &,
                  Range[n], radii]]


                  enter image description here



                  Coloring the circles based on the horizontal coordinate of the center:



                  Graphics[ MapThread[Thick, ColorData["Rainbow", 0, n]@#, Circle[#, 0, #2] &, 
                  Range[n], radii]]


                  enter image description here







                  share|improve this answer













                  share|improve this answer




                  share|improve this answer










                  answered 6 hours ago









                  kglrkglr

                  220k10 gold badges250 silver badges507 bronze badges




                  220k10 gold badges250 silver badges507 bronze badges
























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