TikZ PGF: How to draw crater-like 3D surface based on polynomial equations?
Assumed we have some kind of squared 3D graph like this one:
Minimum Working Example (MWE):
documentclass{standalone}
usepackage{tikz, pgfplots}
begin{document}
begin{tikzpicture}
begin{axis}[samples=20]
addplot3[surf, domain=-2:2] {-x^2-y^2};
end{axis}
end{tikzpicture}
end{document}
Screenshot of the result:

How can I replace the current graph with some 4th degree polynomial formula in both directions x and y, e.g. -1/3*x^4+x^2 and -1/3*y^4+y^2?
Draft of the desired result
In the end it should look like that:

The draft is more or less a circular volcano with a crater in the middle, I hope you can imagine. :-)
I don't know why, but several approaches with...
addplot3[surf, domain=-2:2] {(-1/3*y^4+y^2)*(-1/3*y^4+y^2)};
... do not show up like I expected.
tikz-pgf pgfplots 3d tikz-3dplot tikz-3d
add a comment |
Assumed we have some kind of squared 3D graph like this one:
Minimum Working Example (MWE):
documentclass{standalone}
usepackage{tikz, pgfplots}
begin{document}
begin{tikzpicture}
begin{axis}[samples=20]
addplot3[surf, domain=-2:2] {-x^2-y^2};
end{axis}
end{tikzpicture}
end{document}
Screenshot of the result:

How can I replace the current graph with some 4th degree polynomial formula in both directions x and y, e.g. -1/3*x^4+x^2 and -1/3*y^4+y^2?
Draft of the desired result
In the end it should look like that:

The draft is more or less a circular volcano with a crater in the middle, I hope you can imagine. :-)
I don't know why, but several approaches with...
addplot3[surf, domain=-2:2] {(-1/3*y^4+y^2)*(-1/3*y^4+y^2)};
... do not show up like I expected.
tikz-pgf pgfplots 3d tikz-3dplot tikz-3d
add a comment |
Assumed we have some kind of squared 3D graph like this one:
Minimum Working Example (MWE):
documentclass{standalone}
usepackage{tikz, pgfplots}
begin{document}
begin{tikzpicture}
begin{axis}[samples=20]
addplot3[surf, domain=-2:2] {-x^2-y^2};
end{axis}
end{tikzpicture}
end{document}
Screenshot of the result:

How can I replace the current graph with some 4th degree polynomial formula in both directions x and y, e.g. -1/3*x^4+x^2 and -1/3*y^4+y^2?
Draft of the desired result
In the end it should look like that:

The draft is more or less a circular volcano with a crater in the middle, I hope you can imagine. :-)
I don't know why, but several approaches with...
addplot3[surf, domain=-2:2] {(-1/3*y^4+y^2)*(-1/3*y^4+y^2)};
... do not show up like I expected.
tikz-pgf pgfplots 3d tikz-3dplot tikz-3d
Assumed we have some kind of squared 3D graph like this one:
Minimum Working Example (MWE):
documentclass{standalone}
usepackage{tikz, pgfplots}
begin{document}
begin{tikzpicture}
begin{axis}[samples=20]
addplot3[surf, domain=-2:2] {-x^2-y^2};
end{axis}
end{tikzpicture}
end{document}
Screenshot of the result:

How can I replace the current graph with some 4th degree polynomial formula in both directions x and y, e.g. -1/3*x^4+x^2 and -1/3*y^4+y^2?
Draft of the desired result
In the end it should look like that:

The draft is more or less a circular volcano with a crater in the middle, I hope you can imagine. :-)
I don't know why, but several approaches with...
addplot3[surf, domain=-2:2] {(-1/3*y^4+y^2)*(-1/3*y^4+y^2)};
... do not show up like I expected.
tikz-pgf pgfplots 3d tikz-3dplot tikz-3d
tikz-pgf pgfplots 3d tikz-3dplot tikz-3d
edited 5 mins ago
Dave
asked 12 mins ago
DaveDave
747516
747516
add a comment |
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "85"
};
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
});
}
});
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%2ftex.stackexchange.com%2fquestions%2f472073%2ftikz-pgf-how-to-draw-crater-like-3d-surface-based-on-polynomial-equations%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 TeX - LaTeX 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.
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%2ftex.stackexchange.com%2fquestions%2f472073%2ftikz-pgf-how-to-draw-crater-like-3d-surface-based-on-polynomial-equations%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