Specify the range of GridLines












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








          StackExchange.ready(function() {
          var channelOptions = {
          tags: "".split(" "),
          id: "387"
          };
          initTagRenderer("".split(" "), "".split(" "), channelOptions);

          StackExchange.using("externalEditor", function() {
          // Have to fire editor after snippets, if snippets enabled
          if (StackExchange.settings.snippets.snippetsEnabled) {
          StackExchange.using("snippets", function() {
          createEditor();
          });
          }
          else {
          createEditor();
          }
          });

          function createEditor() {
          StackExchange.prepareEditor({
          heartbeatType: 'answer',
          autoActivateHeartbeat: false,
          convertImagesToLinks: false,
          noModals: true,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: null,
          bindNavPrevention: true,
          postfix: "",
          imageUploader: {
          brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
          contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
          allowUrls: true
          },
          onDemand: true,
          discardSelector: ".discard-answer"
          ,immediatelyShowMarkdownHelp:true
          });


          }
          });














          draft saved

          draft discarded


















          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmathematica.stackexchange.com%2fquestions%2f195844%2fspecify-the-range-of-gridlines%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown

























          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


















          draft saved

          draft discarded




















































          Thanks for contributing an answer to Mathematica Stack Exchange!


          • Please be sure to answer the question. Provide details and share your research!

          But avoid



          • Asking for help, clarification, or responding to other answers.

          • Making statements based on opinion; back them up with references or personal experience.


          Use MathJax to format equations. MathJax reference.


          To learn more, see our tips on writing great answers.




          draft saved


          draft discarded














          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmathematica.stackexchange.com%2fquestions%2f195844%2fspecify-the-range-of-gridlines%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          Popular posts from this blog

          Category:香港粉麵

          List *all* the tuples!

          Channel [V]