Mixing
Requirements of 3 proper Euler angles
$begingroup$
Why do proper Euler Angles all come in the form of xyx, yzy, xzx, xyx, and etc? Also, why is the third one needed if it rotates around the same axis as the first one? How I'm seeing it right now, each one represents composing a rotation (intrinsic or extrinsic) in a triplet around and axis.
angle
asked Jan 29 at 17:50
Benjamin ThoburnBenjamin Thoburn
363313
$endgroup$
add a comment |
$begingroup$
Why do proper Euler Angles all come in the form of xyx, yzy, xzx, xyx, and etc? Also, why is the third one needed if it rotates around the same axis as the first one? How I'm seeing it right now, each one represents composing a rotation (intrinsic or extrinsic) in a triplet around and axis.
angle
asked Jan 29 at 17:50
Benjamin ThoburnBenjamin Thoburn
363313
$endgroup$
add a comment |
$begingroup$
Why do proper Euler Angles all come in the form of xyx, yzy, xzx, xyx, and etc? Also, why is the third one needed if it rotates around the same axis as the first one? How I'm seeing it right now, each one represents composing a rotation (intrinsic or extrinsic) in a triplet around and axis.
angle
asked Jan 29 at 17:50
Benjamin ThoburnBenjamin Thoburn
363313
$endgroup$
Why do proper Euler Angles all come in the form of xyx, yzy, xzx, xyx, and etc? Also, why is the third one needed if it rotates around the same axis as the first one? How I'm seeing it right now, each one represents composing a rotation (intrinsic or extrinsic) in a triplet around and axis.
angle
angle
asked Jan 29 at 17:50
Benjamin ThoburnBenjamin Thoburn
363313
asked Jan 29 at 17:50
Benjamin ThoburnBenjamin Thoburn
363313
asked Jan 29 at 17:50
Benjamin ThoburnBenjamin Thoburn
363313
asked Jan 29 at 17:50
Benjamin ThoburnBenjamin Thoburn
363313
asked Jan 29 at 17:50
Benjamin ThoburnBenjamin Thoburn
363313
363313
add a comment |
add a comment |
0
active
oldest
votes
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
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3092503%2frequirements-of-3-proper-euler-angles%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
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.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3092503%2frequirements-of-3-proper-euler-angles%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
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
