RegionPlot of annulus gives a mesh The Next CEO of Stack OverflowHow to express ticks in...

What is ( CFMCC ) on ILS approach chart?

Which tube will fit a -(700 x 25c) wheel?

What is the purpose of the Evocation wizard's Potent Cantrip feature?

How to start emacs in "nothing" mode (`fundamental-mode`)

Why does the UK parliament need a vote on the political declaration?

What happened in Rome, when the western empire "fell"?

Are there any unintended negative consequences to allowing PCs to gain multiple levels at once in a short milestone-XP game?

Why am I allowed to create multiple unique pointers from a single object?

Novel about a guy who is possessed by the divine essence and the world ends?

What does "Its cash flow is deeply negative" mean?

What was the first Unix version to run on a microcomputer?

Preparing Indesign booklet with .psd graphics for print

Can I equip Skullclamp on a creature I am sacrificing?

Why do we use the plural of movies in this phrase "We went to the movies last night."?

What can we do to stop prior company from asking us questions?

Skipping indices in a product

How to solve a differential equation with a term to a power?

Rotate a column

Return the Closest Prime Number

Is it ever safe to open a suspicious html file (e.g. email attachment)?

Is HostGator storing my password in plaintext?

How did the Bene Gesserit know how to make a Kwisatz Haderach?

Are there any limitations on attacking while grappling?

calculus parametric curve length



RegionPlot of annulus gives a mesh



The Next CEO of Stack OverflowHow to express ticks in scientific form?How to combine ParametricPlot and RegionPlot?How should I debug a failed Manipulate of RegionPlot?RegionPlot, RegionPlot3D and differing embedding dimensionsPlotting issue — possible bug?An issue evaluating RegionInteresectCannot avoid redundant function evaluations in RegionPlotFrame within a Frame for all plots? Why?Exporting ParametricPlot to .pdfIssue related to BoundaryDiscretizeGraphics












1












$begingroup$


So I tried plotting an annulus in two ways:



RegionPlot[Annulus[{0,0},{a,b}]]

Graphics[Annulus[{0,0},{a,b}]]


Why does RegionPlot give a fractal looking thing? (see below for when a=1; b=5;)
RegionPlot image



*note, I used wolfram programing lab.






graphics regions







share|improve this question











$endgroup$












  • $begingroup$
    What are $a$ and $b$ here?
    $endgroup$
    – mjw
    5 hours ago










  • $begingroup$
    Try a=1; b=5; But really any values give something weird
    $endgroup$
    – Ion Sme
    5 hours ago






  • 4




    $begingroup$
    Because it discretized the region in order to plot it, and it is showing the underlying triangulation mesh.
    $endgroup$
    – MarcoB
    5 hours ago






  • 1




    $begingroup$
    @IonSme I guess they just use different defaults for plotting; the Graphics result is "normal-looking" though.
    $endgroup$
    – MarcoB
    5 hours ago






  • 2




    $begingroup$
    There are some subtle differences going on how Mma shows Regions and RegionPlot Graphics. Also Regions can be defined analytically via ImplicitRegion or ParametricRegion or as 'flat' MeshRegions. DiscretizeRegion converts every type to a MeshRegion and some functions like RegionPlot might use something similar to DiscretizeRegion under the hood to make plotting easier, whose discretization it for some reason decides to show. Like others wrote you can use ImplicitRegion to get a different (not discretized) look in your case.
    $endgroup$
    – Thies Heidecke
    4 hours ago


















1












$begingroup$


So I tried plotting an annulus in two ways:



RegionPlot[Annulus[{0,0},{a,b}]]

Graphics[Annulus[{0,0},{a,b}]]


Why does RegionPlot give a fractal looking thing? (see below for when a=1; b=5;)
RegionPlot image



*note, I used wolfram programing lab.






graphics regions







share|improve this question











$endgroup$












  • $begingroup$
    What are $a$ and $b$ here?
    $endgroup$
    – mjw
    5 hours ago










  • $begingroup$
    Try a=1; b=5; But really any values give something weird
    $endgroup$
    – Ion Sme
    5 hours ago






  • 4




    $begingroup$
    Because it discretized the region in order to plot it, and it is showing the underlying triangulation mesh.
    $endgroup$
    – MarcoB
    5 hours ago






  • 1




    $begingroup$
    @IonSme I guess they just use different defaults for plotting; the Graphics result is "normal-looking" though.
    $endgroup$
    – MarcoB
    5 hours ago






  • 2




    $begingroup$
    There are some subtle differences going on how Mma shows Regions and RegionPlot Graphics. Also Regions can be defined analytically via ImplicitRegion or ParametricRegion or as 'flat' MeshRegions. DiscretizeRegion converts every type to a MeshRegion and some functions like RegionPlot might use something similar to DiscretizeRegion under the hood to make plotting easier, whose discretization it for some reason decides to show. Like others wrote you can use ImplicitRegion to get a different (not discretized) look in your case.
    $endgroup$
    – Thies Heidecke
    4 hours ago
















1












1








1





$begingroup$


So I tried plotting an annulus in two ways:



RegionPlot[Annulus[{0,0},{a,b}]]

Graphics[Annulus[{0,0},{a,b}]]


Why does RegionPlot give a fractal looking thing? (see below for when a=1; b=5;)
RegionPlot image



*note, I used wolfram programing lab.






graphics regions







share|improve this question











$endgroup$




So I tried plotting an annulus in two ways:



RegionPlot[Annulus[{0,0},{a,b}]]

Graphics[Annulus[{0,0},{a,b}]]


Why does RegionPlot give a fractal looking thing? (see below for when a=1; b=5;)
RegionPlot image



*note, I used wolfram programing lab.






graphics regions




graphics regions






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 4 hours ago









MarcoB

38.1k556114




38.1k556114










asked 5 hours ago









Ion SmeIon Sme

876




876












  • $begingroup$
    What are $a$ and $b$ here?
    $endgroup$
    – mjw
    5 hours ago










  • $begingroup$
    Try a=1; b=5; But really any values give something weird
    $endgroup$
    – Ion Sme
    5 hours ago






  • 4




    $begingroup$
    Because it discretized the region in order to plot it, and it is showing the underlying triangulation mesh.
    $endgroup$
    – MarcoB
    5 hours ago






  • 1




    $begingroup$
    @IonSme I guess they just use different defaults for plotting; the Graphics result is "normal-looking" though.
    $endgroup$
    – MarcoB
    5 hours ago






  • 2




    $begingroup$
    There are some subtle differences going on how Mma shows Regions and RegionPlot Graphics. Also Regions can be defined analytically via ImplicitRegion or ParametricRegion or as 'flat' MeshRegions. DiscretizeRegion converts every type to a MeshRegion and some functions like RegionPlot might use something similar to DiscretizeRegion under the hood to make plotting easier, whose discretization it for some reason decides to show. Like others wrote you can use ImplicitRegion to get a different (not discretized) look in your case.
    $endgroup$
    – Thies Heidecke
    4 hours ago




















  • $begingroup$
    What are $a$ and $b$ here?
    $endgroup$
    – mjw
    5 hours ago










  • $begingroup$
    Try a=1; b=5; But really any values give something weird
    $endgroup$
    – Ion Sme
    5 hours ago






  • 4




    $begingroup$
    Because it discretized the region in order to plot it, and it is showing the underlying triangulation mesh.
    $endgroup$
    – MarcoB
    5 hours ago






  • 1




    $begingroup$
    @IonSme I guess they just use different defaults for plotting; the Graphics result is "normal-looking" though.
    $endgroup$
    – MarcoB
    5 hours ago






  • 2




    $begingroup$
    There are some subtle differences going on how Mma shows Regions and RegionPlot Graphics. Also Regions can be defined analytically via ImplicitRegion or ParametricRegion or as 'flat' MeshRegions. DiscretizeRegion converts every type to a MeshRegion and some functions like RegionPlot might use something similar to DiscretizeRegion under the hood to make plotting easier, whose discretization it for some reason decides to show. Like others wrote you can use ImplicitRegion to get a different (not discretized) look in your case.
    $endgroup$
    – Thies Heidecke
    4 hours ago


















$begingroup$
What are $a$ and $b$ here?
$endgroup$
– mjw
5 hours ago




$begingroup$
What are $a$ and $b$ here?
$endgroup$
– mjw
5 hours ago












$begingroup$
Try a=1; b=5; But really any values give something weird
$endgroup$
– Ion Sme
5 hours ago




$begingroup$
Try a=1; b=5; But really any values give something weird
$endgroup$
– Ion Sme
5 hours ago




4




4




$begingroup$
Because it discretized the region in order to plot it, and it is showing the underlying triangulation mesh.
$endgroup$
– MarcoB
5 hours ago




$begingroup$
Because it discretized the region in order to plot it, and it is showing the underlying triangulation mesh.
$endgroup$
– MarcoB
5 hours ago




1




1




$begingroup$
@IonSme I guess they just use different defaults for plotting; the Graphics result is "normal-looking" though.
$endgroup$
– MarcoB
5 hours ago




$begingroup$
@IonSme I guess they just use different defaults for plotting; the Graphics result is "normal-looking" though.
$endgroup$
– MarcoB
5 hours ago




2




2




$begingroup$
There are some subtle differences going on how Mma shows Regions and RegionPlot Graphics. Also Regions can be defined analytically via ImplicitRegion or ParametricRegion or as 'flat' MeshRegions. DiscretizeRegion converts every type to a MeshRegion and some functions like RegionPlot might use something similar to DiscretizeRegion under the hood to make plotting easier, whose discretization it for some reason decides to show. Like others wrote you can use ImplicitRegion to get a different (not discretized) look in your case.
$endgroup$
– Thies Heidecke
4 hours ago






$begingroup$
There are some subtle differences going on how Mma shows Regions and RegionPlot Graphics. Also Regions can be defined analytically via ImplicitRegion or ParametricRegion or as 'flat' MeshRegions. DiscretizeRegion converts every type to a MeshRegion and some functions like RegionPlot might use something similar to DiscretizeRegion under the hood to make plotting easier, whose discretization it for some reason decides to show. Like others wrote you can use ImplicitRegion to get a different (not discretized) look in your case.
$endgroup$
– Thies Heidecke
4 hours ago












1 Answer
1






active

oldest

votes


















4












$begingroup$

 a = 1; b = 5;


Please try plotting with Region[]. These look okay to me:



 Region[RegionDifference[Disk[{0, 0}, b], Disk[{0, 0}, a]]]


enter image description here



 Region[Annulus[{0, 0}, {a, b}]]


enter image description here



Here is a decent plot, with RegionPlot:



 RegionPlot[x^2 + y^2 > 1 && x^2 + y^2 < 25, {x, -6, 6}, {y, -6, 6}]


enter image description here



Here it is (again) with Graphics[]:



 Graphics[{LightBlue, Annulus[{0, 0}, {a, b}]}]


enter image description here






share|improve this answer











$endgroup$













  • $begingroup$
    Hmmm, that worked, but why is RegionPlot so funky?
    $endgroup$
    – Ion Sme
    5 hours ago






  • 1




    $begingroup$
    I think MarcoB mostly answers this below your question. So we can then ask: Why does RegionPlot use one algorithm, and Region another? RegionPlot seems to like functions as inputs, and also likes to have the $x$ and $y$ ranges speciifed ...
    $endgroup$
    – mjw
    5 hours ago












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: "387"
};
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
});


}
});














draft saved

draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmathematica.stackexchange.com%2fquestions%2f194211%2fregionplot-of-annulus-gives-a-mesh%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









4












$begingroup$

 a = 1; b = 5;


Please try plotting with Region[]. These look okay to me:



 Region[RegionDifference[Disk[{0, 0}, b], Disk[{0, 0}, a]]]


enter image description here



 Region[Annulus[{0, 0}, {a, b}]]


enter image description here



Here is a decent plot, with RegionPlot:



 RegionPlot[x^2 + y^2 > 1 && x^2 + y^2 < 25, {x, -6, 6}, {y, -6, 6}]


enter image description here



Here it is (again) with Graphics[]:



 Graphics[{LightBlue, Annulus[{0, 0}, {a, b}]}]


enter image description here






share|improve this answer











$endgroup$













  • $begingroup$
    Hmmm, that worked, but why is RegionPlot so funky?
    $endgroup$
    – Ion Sme
    5 hours ago






  • 1




    $begingroup$
    I think MarcoB mostly answers this below your question. So we can then ask: Why does RegionPlot use one algorithm, and Region another? RegionPlot seems to like functions as inputs, and also likes to have the $x$ and $y$ ranges speciifed ...
    $endgroup$
    – mjw
    5 hours ago
















4












$begingroup$

 a = 1; b = 5;


Please try plotting with Region[]. These look okay to me:



 Region[RegionDifference[Disk[{0, 0}, b], Disk[{0, 0}, a]]]


enter image description here



 Region[Annulus[{0, 0}, {a, b}]]


enter image description here



Here is a decent plot, with RegionPlot:



 RegionPlot[x^2 + y^2 > 1 && x^2 + y^2 < 25, {x, -6, 6}, {y, -6, 6}]


enter image description here



Here it is (again) with Graphics[]:



 Graphics[{LightBlue, Annulus[{0, 0}, {a, b}]}]


enter image description here






share|improve this answer











$endgroup$













  • $begingroup$
    Hmmm, that worked, but why is RegionPlot so funky?
    $endgroup$
    – Ion Sme
    5 hours ago






  • 1




    $begingroup$
    I think MarcoB mostly answers this below your question. So we can then ask: Why does RegionPlot use one algorithm, and Region another? RegionPlot seems to like functions as inputs, and also likes to have the $x$ and $y$ ranges speciifed ...
    $endgroup$
    – mjw
    5 hours ago














4












4








4





$begingroup$

 a = 1; b = 5;


Please try plotting with Region[]. These look okay to me:



 Region[RegionDifference[Disk[{0, 0}, b], Disk[{0, 0}, a]]]


enter image description here



 Region[Annulus[{0, 0}, {a, b}]]


enter image description here



Here is a decent plot, with RegionPlot:



 RegionPlot[x^2 + y^2 > 1 && x^2 + y^2 < 25, {x, -6, 6}, {y, -6, 6}]


enter image description here



Here it is (again) with Graphics[]:



 Graphics[{LightBlue, Annulus[{0, 0}, {a, b}]}]


enter image description here






share|improve this answer











$endgroup$



 a = 1; b = 5;


Please try plotting with Region[]. These look okay to me:



 Region[RegionDifference[Disk[{0, 0}, b], Disk[{0, 0}, a]]]


enter image description here



 Region[Annulus[{0, 0}, {a, b}]]


enter image description here



Here is a decent plot, with RegionPlot:



 RegionPlot[x^2 + y^2 > 1 && x^2 + y^2 < 25, {x, -6, 6}, {y, -6, 6}]


enter image description here



Here it is (again) with Graphics[]:



 Graphics[{LightBlue, Annulus[{0, 0}, {a, b}]}]


enter image description here







share|improve this answer














share|improve this answer



share|improve this answer








edited 4 hours ago

























answered 5 hours ago









mjwmjw

1,17610




1,17610












  • $begingroup$
    Hmmm, that worked, but why is RegionPlot so funky?
    $endgroup$
    – Ion Sme
    5 hours ago






  • 1




    $begingroup$
    I think MarcoB mostly answers this below your question. So we can then ask: Why does RegionPlot use one algorithm, and Region another? RegionPlot seems to like functions as inputs, and also likes to have the $x$ and $y$ ranges speciifed ...
    $endgroup$
    – mjw
    5 hours ago


















  • $begingroup$
    Hmmm, that worked, but why is RegionPlot so funky?
    $endgroup$
    – Ion Sme
    5 hours ago






  • 1




    $begingroup$
    I think MarcoB mostly answers this below your question. So we can then ask: Why does RegionPlot use one algorithm, and Region another? RegionPlot seems to like functions as inputs, and also likes to have the $x$ and $y$ ranges speciifed ...
    $endgroup$
    – mjw
    5 hours ago
















$begingroup$
Hmmm, that worked, but why is RegionPlot so funky?
$endgroup$
– Ion Sme
5 hours ago




$begingroup$
Hmmm, that worked, but why is RegionPlot so funky?
$endgroup$
– Ion Sme
5 hours ago




1




1




$begingroup$
I think MarcoB mostly answers this below your question. So we can then ask: Why does RegionPlot use one algorithm, and Region another? RegionPlot seems to like functions as inputs, and also likes to have the $x$ and $y$ ranges speciifed ...
$endgroup$
– mjw
5 hours ago




$begingroup$
I think MarcoB mostly answers this below your question. So we can then ask: Why does RegionPlot use one algorithm, and Region another? RegionPlot seems to like functions as inputs, and also likes to have the $x$ and $y$ ranges speciifed ...
$endgroup$
– mjw
5 hours ago


















draft saved

draft discarded




















































Thanks for contributing an answer to Mathematica 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%2fmathematica.stackexchange.com%2fquestions%2f194211%2fregionplot-of-annulus-gives-a-mesh%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

Why do type traits not work with types in namespace scope?What are POD types in C++?Why can templates only be...

Image
What does it mean to express a gate in Dirac notation? A Strange Latex Symbol How can Republicans who favour free markets, consistently express anger when they don't like the outcome of that choice? What happened to Captain America in Endgame? How to solve constants out of the internal energy equation? How can I place the product on a social media post better? Will tsunami waves travel forever if there was no land? Unexpected email from Yorkshire Bank What is the relationship between spectral sequences and obstruction theory? How can I practically buy stocks? Will a top journal at least re
Read more

Will tsunami waves travel forever if there was no land?Why do tsunami waves begin with the water flowing away...

Image
How much cash can I safely carry into the USA and avoid civil forfeiture? Is there really no use for MD5 anymore? Is contacting this expert in the field something acceptable or would it be discourteous? How to pronounce 'C++' in Spanish How to creep the reader out with what seems like a normal person? Critique of timeline aesthetic Sci fi novel series with instant travel between planets through gates. A river runs through the gates How did Captain America manage to do this? Are Boeing 737-800’s grounded? Error message with tabularx How to make a pipeline wait for end-of-file or stop af
Read more

Should I use Docker or LXD?How to cache (more) data on SSD/RAM to avoid spin up?Unable to get Windows File...

Image
kill -0 <PID> は何をするのでしょうか？ Why avoid shared user accounts? Using only 1s, make 29 with the minimum number of digits Cookies - Should the toggles be on? Can I string the DnD Starter Set campaign into another modules, keeping the same characters? Why do neural networks need so many training examples to perform? Intern applicant asking for compensation equivalent to that of permanent employee Why would space fleets be aligned? It took me a lot of time to make this, pls like. (YouTube Comments #1) Can a long polymer chain interact with itself via van der Waals forces? What is the purpose of
Read more