What is the equation of the helicoidal staircase-like surface












1














I don't really have much to add to this question, except the picture



enter image description here



I would think there has to be an analytical form for this surface. Also, if one could help build a vector, normal to it as a function of position on this helix, could be great.



P.S.: Sorry if this question is too fundamental, I am a physicist, not mathematician and my geometry knowledge is reminiscent...










share|cite|improve this question


















  • 2




    It's the helicoid.
    – Fabio Somenzi
    Nov 30 at 1:47
















1














I don't really have much to add to this question, except the picture



enter image description here



I would think there has to be an analytical form for this surface. Also, if one could help build a vector, normal to it as a function of position on this helix, could be great.



P.S.: Sorry if this question is too fundamental, I am a physicist, not mathematician and my geometry knowledge is reminiscent...










share|cite|improve this question


















  • 2




    It's the helicoid.
    – Fabio Somenzi
    Nov 30 at 1:47














1












1








1







I don't really have much to add to this question, except the picture



enter image description here



I would think there has to be an analytical form for this surface. Also, if one could help build a vector, normal to it as a function of position on this helix, could be great.



P.S.: Sorry if this question is too fundamental, I am a physicist, not mathematician and my geometry knowledge is reminiscent...










share|cite|improve this question













I don't really have much to add to this question, except the picture



enter image description here



I would think there has to be an analytical form for this surface. Also, if one could help build a vector, normal to it as a function of position on this helix, could be great.



P.S.: Sorry if this question is too fundamental, I am a physicist, not mathematician and my geometry knowledge is reminiscent...







geometry surfaces






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Nov 30 at 1:40









MsTais

1738




1738








  • 2




    It's the helicoid.
    – Fabio Somenzi
    Nov 30 at 1:47














  • 2




    It's the helicoid.
    – Fabio Somenzi
    Nov 30 at 1:47








2




2




It's the helicoid.
– Fabio Somenzi
Nov 30 at 1:47




It's the helicoid.
– Fabio Somenzi
Nov 30 at 1:47















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
});


}
});














draft saved

draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3019502%2fwhat-is-the-equation-of-the-helicoidal-staircase-like-surface%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown






























active

oldest

votes













active

oldest

votes









active

oldest

votes






active

oldest

votes
















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.





Some of your past answers have not been well-received, and you're in danger of being blocked from answering.


Please pay close attention to the following guidance:


  • 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.


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%2f3019502%2fwhat-is-the-equation-of-the-helicoidal-staircase-like-surface%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

Berounka

Sphinx de Gizeh

Different font size/position of beamer's navigation symbols template's content depending on regular/plain...