Specify the range of GridLines Planned maintenance scheduled April 23, 2019 at 23:30 UTC (7:30...

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Specify the range of GridLines



Planned maintenance scheduled April 23, 2019 at 23:30 UTC (7:30 pm US/Eastern)
Announcing the arrival of Valued Associate #679: Cesar Manara
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3












$begingroup$


Graphics[Circle[], Frame -> True, GridLines -> Automatic]


This puts grids across a 2D graphic (a circle here).



Is there any way to specify the range of values of GridLines? More specifically I want the part of GridLines that are inside the circle. That is the part of them that is outside the circle should be removed.



Thanks a lot!










share|improve this question









$endgroup$

















    3












    $begingroup$


    Graphics[Circle[], Frame -> True, GridLines -> Automatic]


    This puts grids across a 2D graphic (a circle here).



    Is there any way to specify the range of values of GridLines? More specifically I want the part of GridLines that are inside the circle. That is the part of them that is outside the circle should be removed.



    Thanks a lot!










    share|improve this question









    $endgroup$















      3












      3








      3





      $begingroup$


      Graphics[Circle[], Frame -> True, GridLines -> Automatic]


      This puts grids across a 2D graphic (a circle here).



      Is there any way to specify the range of values of GridLines? More specifically I want the part of GridLines that are inside the circle. That is the part of them that is outside the circle should be removed.



      Thanks a lot!










      share|improve this question









      $endgroup$




      Graphics[Circle[], Frame -> True, GridLines -> Automatic]


      This puts grids across a 2D graphic (a circle here).



      Is there any way to specify the range of values of GridLines? More specifically I want the part of GridLines that are inside the circle. That is the part of them that is outside the circle should be removed.



      Thanks a lot!







      grid-layouts grid-lines






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 7 hours ago









      DimitrisDimitris

      2,3381332




      2,3381332






















          2 Answers
          2






          active

          oldest

          votes


















          4












          $begingroup$

          You can use a FilledCurve to create a graphics primitive with a hole in it. For example:



          Graphics[
          {
          White,
          FilledCurve[{
          {Line[{Scaled[{0,0}],Scaled[{1,0}],Scaled[{1,1}],Scaled[{0,1}],Scaled[{0,0}]}]},
          {Line@CirclePoints[.5, 100]}
          }],
          Blue,
          Circle[{0,0},.5]
          },
          Frame -> True,
          GridLines -> Automatic
          ]


          enter image description here






          share|improve this answer









          $endgroup$













          • $begingroup$
            This is perfect! Thank you very much. Is is possible also to modify the orientation of these grid lines (for instance by π/4 rad)?
            $endgroup$
            – Dimitris
            6 hours ago



















          4












          $begingroup$

          You may also use parametric plot which can give more flexibility (like the pi/4 rotation you want):



          pt = {Table[
          ParametricPlot[{x, x + a}, {x, 1/2 (-a - Sqrt[2 - a^2]),
          1/2 (-a + Sqrt[2 - a^2])}], {a, -1, 1, .5}],
          Table[ParametricPlot[{x, -x + a}, {x, 1/2 (a - Sqrt[2 - a^2]),
          1/2 (a + Sqrt[2 - a^2])}], {a, -1, 1, .5}]} // Flatten;

          Show[{pt, Graphics[Circle[]]}, PlotRange -> All, Frame -> True]


          enter image description here



          where the x range for the gridlines are from



          Solve[x + a == Sqrt[1 - x^2], x]
          Solve[-x + a == Sqrt[1 - x^2], x]





          share|improve this answer









          $endgroup$













          • $begingroup$
            Thanks! How can we modify the code in order to have the center of circle (and the grids translated) to (0.5,0.5)?
            $endgroup$
            – Dimitris
            2 hours ago












          Your Answer








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          2 Answers
          2






          active

          oldest

          votes








          2 Answers
          2






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          4












          $begingroup$

          You can use a FilledCurve to create a graphics primitive with a hole in it. For example:



          Graphics[
          {
          White,
          FilledCurve[{
          {Line[{Scaled[{0,0}],Scaled[{1,0}],Scaled[{1,1}],Scaled[{0,1}],Scaled[{0,0}]}]},
          {Line@CirclePoints[.5, 100]}
          }],
          Blue,
          Circle[{0,0},.5]
          },
          Frame -> True,
          GridLines -> Automatic
          ]


          enter image description here






          share|improve this answer









          $endgroup$













          • $begingroup$
            This is perfect! Thank you very much. Is is possible also to modify the orientation of these grid lines (for instance by π/4 rad)?
            $endgroup$
            – Dimitris
            6 hours ago
















          4












          $begingroup$

          You can use a FilledCurve to create a graphics primitive with a hole in it. For example:



          Graphics[
          {
          White,
          FilledCurve[{
          {Line[{Scaled[{0,0}],Scaled[{1,0}],Scaled[{1,1}],Scaled[{0,1}],Scaled[{0,0}]}]},
          {Line@CirclePoints[.5, 100]}
          }],
          Blue,
          Circle[{0,0},.5]
          },
          Frame -> True,
          GridLines -> Automatic
          ]


          enter image description here






          share|improve this answer









          $endgroup$













          • $begingroup$
            This is perfect! Thank you very much. Is is possible also to modify the orientation of these grid lines (for instance by π/4 rad)?
            $endgroup$
            – Dimitris
            6 hours ago














          4












          4








          4





          $begingroup$

          You can use a FilledCurve to create a graphics primitive with a hole in it. For example:



          Graphics[
          {
          White,
          FilledCurve[{
          {Line[{Scaled[{0,0}],Scaled[{1,0}],Scaled[{1,1}],Scaled[{0,1}],Scaled[{0,0}]}]},
          {Line@CirclePoints[.5, 100]}
          }],
          Blue,
          Circle[{0,0},.5]
          },
          Frame -> True,
          GridLines -> Automatic
          ]


          enter image description here






          share|improve this answer









          $endgroup$



          You can use a FilledCurve to create a graphics primitive with a hole in it. For example:



          Graphics[
          {
          White,
          FilledCurve[{
          {Line[{Scaled[{0,0}],Scaled[{1,0}],Scaled[{1,1}],Scaled[{0,1}],Scaled[{0,0}]}]},
          {Line@CirclePoints[.5, 100]}
          }],
          Blue,
          Circle[{0,0},.5]
          },
          Frame -> True,
          GridLines -> Automatic
          ]


          enter image description here







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered 6 hours ago









          Carl WollCarl Woll

          75.4k3100197




          75.4k3100197












          • $begingroup$
            This is perfect! Thank you very much. Is is possible also to modify the orientation of these grid lines (for instance by π/4 rad)?
            $endgroup$
            – Dimitris
            6 hours ago


















          • $begingroup$
            This is perfect! Thank you very much. Is is possible also to modify the orientation of these grid lines (for instance by π/4 rad)?
            $endgroup$
            – Dimitris
            6 hours ago
















          $begingroup$
          This is perfect! Thank you very much. Is is possible also to modify the orientation of these grid lines (for instance by π/4 rad)?
          $endgroup$
          – Dimitris
          6 hours ago




          $begingroup$
          This is perfect! Thank you very much. Is is possible also to modify the orientation of these grid lines (for instance by π/4 rad)?
          $endgroup$
          – Dimitris
          6 hours ago











          4












          $begingroup$

          You may also use parametric plot which can give more flexibility (like the pi/4 rotation you want):



          pt = {Table[
          ParametricPlot[{x, x + a}, {x, 1/2 (-a - Sqrt[2 - a^2]),
          1/2 (-a + Sqrt[2 - a^2])}], {a, -1, 1, .5}],
          Table[ParametricPlot[{x, -x + a}, {x, 1/2 (a - Sqrt[2 - a^2]),
          1/2 (a + Sqrt[2 - a^2])}], {a, -1, 1, .5}]} // Flatten;

          Show[{pt, Graphics[Circle[]]}, PlotRange -> All, Frame -> True]


          enter image description here



          where the x range for the gridlines are from



          Solve[x + a == Sqrt[1 - x^2], x]
          Solve[-x + a == Sqrt[1 - x^2], x]





          share|improve this answer









          $endgroup$













          • $begingroup$
            Thanks! How can we modify the code in order to have the center of circle (and the grids translated) to (0.5,0.5)?
            $endgroup$
            – Dimitris
            2 hours ago
















          4












          $begingroup$

          You may also use parametric plot which can give more flexibility (like the pi/4 rotation you want):



          pt = {Table[
          ParametricPlot[{x, x + a}, {x, 1/2 (-a - Sqrt[2 - a^2]),
          1/2 (-a + Sqrt[2 - a^2])}], {a, -1, 1, .5}],
          Table[ParametricPlot[{x, -x + a}, {x, 1/2 (a - Sqrt[2 - a^2]),
          1/2 (a + Sqrt[2 - a^2])}], {a, -1, 1, .5}]} // Flatten;

          Show[{pt, Graphics[Circle[]]}, PlotRange -> All, Frame -> True]


          enter image description here



          where the x range for the gridlines are from



          Solve[x + a == Sqrt[1 - x^2], x]
          Solve[-x + a == Sqrt[1 - x^2], x]





          share|improve this answer









          $endgroup$













          • $begingroup$
            Thanks! How can we modify the code in order to have the center of circle (and the grids translated) to (0.5,0.5)?
            $endgroup$
            – Dimitris
            2 hours ago














          4












          4








          4





          $begingroup$

          You may also use parametric plot which can give more flexibility (like the pi/4 rotation you want):



          pt = {Table[
          ParametricPlot[{x, x + a}, {x, 1/2 (-a - Sqrt[2 - a^2]),
          1/2 (-a + Sqrt[2 - a^2])}], {a, -1, 1, .5}],
          Table[ParametricPlot[{x, -x + a}, {x, 1/2 (a - Sqrt[2 - a^2]),
          1/2 (a + Sqrt[2 - a^2])}], {a, -1, 1, .5}]} // Flatten;

          Show[{pt, Graphics[Circle[]]}, PlotRange -> All, Frame -> True]


          enter image description here



          where the x range for the gridlines are from



          Solve[x + a == Sqrt[1 - x^2], x]
          Solve[-x + a == Sqrt[1 - x^2], x]





          share|improve this answer









          $endgroup$



          You may also use parametric plot which can give more flexibility (like the pi/4 rotation you want):



          pt = {Table[
          ParametricPlot[{x, x + a}, {x, 1/2 (-a - Sqrt[2 - a^2]),
          1/2 (-a + Sqrt[2 - a^2])}], {a, -1, 1, .5}],
          Table[ParametricPlot[{x, -x + a}, {x, 1/2 (a - Sqrt[2 - a^2]),
          1/2 (a + Sqrt[2 - a^2])}], {a, -1, 1, .5}]} // Flatten;

          Show[{pt, Graphics[Circle[]]}, PlotRange -> All, Frame -> True]


          enter image description here



          where the x range for the gridlines are from



          Solve[x + a == Sqrt[1 - x^2], x]
          Solve[-x + a == Sqrt[1 - x^2], x]






          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered 5 hours ago









          egwene sedaiegwene sedai

          1,8261021




          1,8261021












          • $begingroup$
            Thanks! How can we modify the code in order to have the center of circle (and the grids translated) to (0.5,0.5)?
            $endgroup$
            – Dimitris
            2 hours ago


















          • $begingroup$
            Thanks! How can we modify the code in order to have the center of circle (and the grids translated) to (0.5,0.5)?
            $endgroup$
            – Dimitris
            2 hours ago
















          $begingroup$
          Thanks! How can we modify the code in order to have the center of circle (and the grids translated) to (0.5,0.5)?
          $endgroup$
          – Dimitris
          2 hours ago




          $begingroup$
          Thanks! How can we modify the code in order to have the center of circle (and the grids translated) to (0.5,0.5)?
          $endgroup$
          – Dimitris
          2 hours ago


















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