How can I check which face of spherical polyhedron corresponds to a given euler angle?












0












$begingroup$


I am specifically mapping a dodecahedron to a sphere and I am trying to get if a rotator is within the boundaries of a given face.



spherical dodecahedron



Thank you










share|cite|improve this question











$endgroup$

















    0












    $begingroup$


    I am specifically mapping a dodecahedron to a sphere and I am trying to get if a rotator is within the boundaries of a given face.



    spherical dodecahedron



    Thank you










    share|cite|improve this question











    $endgroup$















      0












      0








      0





      $begingroup$


      I am specifically mapping a dodecahedron to a sphere and I am trying to get if a rotator is within the boundaries of a given face.



      spherical dodecahedron



      Thank you










      share|cite|improve this question











      $endgroup$




      I am specifically mapping a dodecahedron to a sphere and I am trying to get if a rotator is within the boundaries of a given face.



      spherical dodecahedron



      Thank you







      angle polyhedra






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Jan 30 at 16:45









      dantopa

      6,64442245




      6,64442245










      asked Jan 30 at 16:39









      KevinKevin

      1




      1






















          1 Answer
          1






          active

          oldest

          votes


















          0












          $begingroup$

          Find the distance of point $P$ from the centers of the 12 faces, and choose the closest.






          share|cite|improve this answer









          $endgroup$














            Your Answer





            StackExchange.ifUsing("editor", function () {
            return StackExchange.using("mathjaxEditing", function () {
            StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
            StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
            });
            });
            }, "mathjax-editing");

            StackExchange.ready(function() {
            var channelOptions = {
            tags: "".split(" "),
            id: "69"
            };
            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: true,
            noModals: true,
            showLowRepImageUploadWarning: true,
            reputationToPostImages: 10,
            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
            },
            noCode: true, onDemand: true,
            discardSelector: ".discard-answer"
            ,immediatelyShowMarkdownHelp:true
            });


            }
            });














            draft saved

            draft discarded


















            StackExchange.ready(
            function () {
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3093770%2fhow-can-i-check-which-face-of-spherical-polyhedron-corresponds-to-a-given-euler%23new-answer', 'question_page');
            }
            );

            Post as a guest















            Required, but never shown

























            1 Answer
            1






            active

            oldest

            votes








            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            0












            $begingroup$

            Find the distance of point $P$ from the centers of the 12 faces, and choose the closest.






            share|cite|improve this answer









            $endgroup$


















              0












              $begingroup$

              Find the distance of point $P$ from the centers of the 12 faces, and choose the closest.






              share|cite|improve this answer









              $endgroup$
















                0












                0








                0





                $begingroup$

                Find the distance of point $P$ from the centers of the 12 faces, and choose the closest.






                share|cite|improve this answer









                $endgroup$



                Find the distance of point $P$ from the centers of the 12 faces, and choose the closest.







                share|cite|improve this answer












                share|cite|improve this answer



                share|cite|improve this answer










                answered Feb 4 at 17:54









                AretinoAretino

                25.8k31545




                25.8k31545






























                    draft saved

                    draft discarded




















































                    Thanks for contributing an answer to Mathematics 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%2fmath.stackexchange.com%2fquestions%2f3093770%2fhow-can-i-check-which-face-of-spherical-polyhedron-corresponds-to-a-given-euler%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

                    Can a sorcerer learn a 5th-level spell early by creating spell slots using the Font of Magic feature?

                    ts Property 'filter' does not exist on type '{}'

                    mat-slide-toggle shouldn't change it's state when I click cancel in confirmation window