Geodesic Dome defined parametrically
$begingroup$
I've been researching for the calculus behind geodesic domes, and specifically calculus related to parametric surfaces. I've found this, but unfortunately it comes short of providing me the most needed information, and so far I couldn't find the information anywhere else.
Basically, Yale says,
For a surface defined parametrically by x = x(u, v), y = y(u, v), and z = z(u, v), the geodesic can be found by minimizing the arc length
(formulas available in print form) ...
For a surface of revolution in which y = g(x) and is rotated about the x-axis so that t
(formulas available in print form)
Could someone please help me figure out what these "formulas available in print form" are? Thank you so much in advance.
calculus multivariable-calculus parametric geodesic
$endgroup$
add a comment |
$begingroup$
I've been researching for the calculus behind geodesic domes, and specifically calculus related to parametric surfaces. I've found this, but unfortunately it comes short of providing me the most needed information, and so far I couldn't find the information anywhere else.
Basically, Yale says,
For a surface defined parametrically by x = x(u, v), y = y(u, v), and z = z(u, v), the geodesic can be found by minimizing the arc length
(formulas available in print form) ...
For a surface of revolution in which y = g(x) and is rotated about the x-axis so that t
(formulas available in print form)
Could someone please help me figure out what these "formulas available in print form" are? Thank you so much in advance.
calculus multivariable-calculus parametric geodesic
$endgroup$
$begingroup$
Can you check your link please?
$endgroup$
– Vasily Mitch
Dec 19 '18 at 12:20
$begingroup$
Your question is bettered answered by geometry. Geodesics are unrelated to geodesic domes.
$endgroup$
– William Elliot
Dec 19 '18 at 13:13
$begingroup$
@VasilyMitch I'm sorry it didn't work the first time — here's the correct one: teachers.yale.edu/curriculum/viewer/new_haven_06.04.05_u#f
$endgroup$
– jjhh
Dec 19 '18 at 15:28
add a comment |
$begingroup$
I've been researching for the calculus behind geodesic domes, and specifically calculus related to parametric surfaces. I've found this, but unfortunately it comes short of providing me the most needed information, and so far I couldn't find the information anywhere else.
Basically, Yale says,
For a surface defined parametrically by x = x(u, v), y = y(u, v), and z = z(u, v), the geodesic can be found by minimizing the arc length
(formulas available in print form) ...
For a surface of revolution in which y = g(x) and is rotated about the x-axis so that t
(formulas available in print form)
Could someone please help me figure out what these "formulas available in print form" are? Thank you so much in advance.
calculus multivariable-calculus parametric geodesic
$endgroup$
I've been researching for the calculus behind geodesic domes, and specifically calculus related to parametric surfaces. I've found this, but unfortunately it comes short of providing me the most needed information, and so far I couldn't find the information anywhere else.
Basically, Yale says,
For a surface defined parametrically by x = x(u, v), y = y(u, v), and z = z(u, v), the geodesic can be found by minimizing the arc length
(formulas available in print form) ...
For a surface of revolution in which y = g(x) and is rotated about the x-axis so that t
(formulas available in print form)
Could someone please help me figure out what these "formulas available in print form" are? Thank you so much in advance.
calculus multivariable-calculus parametric geodesic
calculus multivariable-calculus parametric geodesic
asked Dec 19 '18 at 12:14
jjhhjjhh
2,13911122
2,13911122
$begingroup$
Can you check your link please?
$endgroup$
– Vasily Mitch
Dec 19 '18 at 12:20
$begingroup$
Your question is bettered answered by geometry. Geodesics are unrelated to geodesic domes.
$endgroup$
– William Elliot
Dec 19 '18 at 13:13
$begingroup$
@VasilyMitch I'm sorry it didn't work the first time — here's the correct one: teachers.yale.edu/curriculum/viewer/new_haven_06.04.05_u#f
$endgroup$
– jjhh
Dec 19 '18 at 15:28
add a comment |
$begingroup$
Can you check your link please?
$endgroup$
– Vasily Mitch
Dec 19 '18 at 12:20
$begingroup$
Your question is bettered answered by geometry. Geodesics are unrelated to geodesic domes.
$endgroup$
– William Elliot
Dec 19 '18 at 13:13
$begingroup$
@VasilyMitch I'm sorry it didn't work the first time — here's the correct one: teachers.yale.edu/curriculum/viewer/new_haven_06.04.05_u#f
$endgroup$
– jjhh
Dec 19 '18 at 15:28
$begingroup$
Can you check your link please?
$endgroup$
– Vasily Mitch
Dec 19 '18 at 12:20
$begingroup$
Can you check your link please?
$endgroup$
– Vasily Mitch
Dec 19 '18 at 12:20
$begingroup$
Your question is bettered answered by geometry. Geodesics are unrelated to geodesic domes.
$endgroup$
– William Elliot
Dec 19 '18 at 13:13
$begingroup$
Your question is bettered answered by geometry. Geodesics are unrelated to geodesic domes.
$endgroup$
– William Elliot
Dec 19 '18 at 13:13
$begingroup$
@VasilyMitch I'm sorry it didn't work the first time — here's the correct one: teachers.yale.edu/curriculum/viewer/new_haven_06.04.05_u#f
$endgroup$
– jjhh
Dec 19 '18 at 15:28
$begingroup$
@VasilyMitch I'm sorry it didn't work the first time — here's the correct one: teachers.yale.edu/curriculum/viewer/new_haven_06.04.05_u#f
$endgroup$
– jjhh
Dec 19 '18 at 15:28
add a comment |
0
active
oldest
votes
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
});
}
});
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%2f3046320%2fgeodesic-dome-defined-parametrically%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%2f3046320%2fgeodesic-dome-defined-parametrically%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
$begingroup$
Can you check your link please?
$endgroup$
– Vasily Mitch
Dec 19 '18 at 12:20
$begingroup$
Your question is bettered answered by geometry. Geodesics are unrelated to geodesic domes.
$endgroup$
– William Elliot
Dec 19 '18 at 13:13
$begingroup$
@VasilyMitch I'm sorry it didn't work the first time — here's the correct one: teachers.yale.edu/curriculum/viewer/new_haven_06.04.05_u#f
$endgroup$
– jjhh
Dec 19 '18 at 15:28