Dtjytyk

Do I really need to have a message in a novel to appeal to readers?

Co-worker has annoying ringtone

Maximum summed subsequences with non-adjacent items

Strange behavior of Object.defineProperty() in JavaScript

How do I find out the mythology and history of my Fortress?

Girl Hackers - Logic Puzzle

Tannaka duality for semisimple groups

What order were files/directories output in dir?

How would a mousetrap for use in space work?

How to report t statistic from R

preposition before coffee

Central Vacuuming: Is it worth it, and how does it compare to normal vacuuming?

Misunderstanding of Sylow theory

What does this say in Elvish?

Why can't I install Tomboy in Ubuntu Mate 19.04?

If Windows 7 doesn't support WSL, then what is "Subsystem for UNIX-based Applications"?

Lagrange four-squares theorem --- deterministic complexity

macOS: Name for app shortcut screen found by pinching with thumb and three fingers

What is the chair depicted in Cesare Maccari's 1889 painting "Cicerone denuncia Catilina"?

How long can equipment go unused before powering up runs the risk of damage?

Why do aircraft stall warning systems use angle-of-attack vanes rather than detecting airflow separation directly?

Amount of permutations on an NxNxN Rubik's Cube

Has negative voting ever been officially implemented in elections, or seriously proposed, or even studied?

1-probability to calculate two events in a row

Dynamic filling of a region of a polar plot

3

$begingroup$

I would like to shade area of region as a function of angle using PolarPlot.
Here is my attempt.

With[
 pts = 
 Cases[PolarPlot[1 + 2 Sin[θ], θ, 0, 2 π], _Line, 0, Infinity][[1, 1]],
 Manipulate[
 Show[
 ListLinePlot[0, 0, pts[[n]], pts[[1 ;; n]], 
 Filling -> 2 -> Axis, LightBlue, 1 -> Axis, LightBlue, 
 PlotRange -> -2, 2, -0.5, 3.2, AspectRatio -> 1, 
 PlotStyle -> Directive[AbsoluteThickness@3, Magenta, Magenta], 
 ImageSize -> 500, AxesStyle -> Directive[Black, 18], 
 PlotLabel -> Style["r=1+2 sin(θ)", Black, 20]], 
 PolarPlot[1 + 2 Sin[θ], θ, 0, 2.2 π, 
 AspectRatio -> 1, PlotStyle -> Black, AbsoluteThickness@3]], 
 n, 1, Length @ pts, 1]]

Two thing I would like to achieve:

1. I don't want to see the yellow highlited region.


2. When inner loop is shaded twice, I would like to make it darker to emphasize that it is the 2nd time.

Any suggestion..

plotting filling

share|improve this question

edited 1 hour ago

Okkes Dulgerci

asked 3 hours ago

Okkes DulgerciOkkes Dulgerci

5,4641919

$endgroup$

add a comment | 

3

$begingroup$

I would like to shade area of region as a function of angle using PolarPlot.
Here is my attempt.

With[
 pts = 
 Cases[PolarPlot[1 + 2 Sin[θ], θ, 0, 2 π], _Line, 0, Infinity][[1, 1]],
 Manipulate[
 Show[
 ListLinePlot[0, 0, pts[[n]], pts[[1 ;; n]], 
 Filling -> 2 -> Axis, LightBlue, 1 -> Axis, LightBlue, 
 PlotRange -> -2, 2, -0.5, 3.2, AspectRatio -> 1, 
 PlotStyle -> Directive[AbsoluteThickness@3, Magenta, Magenta], 
 ImageSize -> 500, AxesStyle -> Directive[Black, 18], 
 PlotLabel -> Style["r=1+2 sin(θ)", Black, 20]], 
 PolarPlot[1 + 2 Sin[θ], θ, 0, 2.2 π, 
 AspectRatio -> 1, PlotStyle -> Black, AbsoluteThickness@3]], 
 n, 1, Length @ pts, 1]]

Two thing I would like to achieve:

1. I don't want to see the yellow highlited region.


2. When inner loop is shaded twice, I would like to make it darker to emphasize that it is the 2nd time.

Any suggestion..

plotting filling

share|improve this question

edited 1 hour ago

Okkes Dulgerci

asked 3 hours ago

Okkes DulgerciOkkes Dulgerci

5,4641919

$endgroup$

add a comment | 

$begingroup$

I would like to shade area of region as a function of angle using PolarPlot.
Here is my attempt.

With[
 pts = 
 Cases[PolarPlot[1 + 2 Sin[θ], θ, 0, 2 π], _Line, 0, Infinity][[1, 1]],
 Manipulate[
 Show[
 ListLinePlot[0, 0, pts[[n]], pts[[1 ;; n]], 
 Filling -> 2 -> Axis, LightBlue, 1 -> Axis, LightBlue, 
 PlotRange -> -2, 2, -0.5, 3.2, AspectRatio -> 1, 
 PlotStyle -> Directive[AbsoluteThickness@3, Magenta, Magenta], 
 ImageSize -> 500, AxesStyle -> Directive[Black, 18], 
 PlotLabel -> Style["r=1+2 sin(θ)", Black, 20]], 
 PolarPlot[1 + 2 Sin[θ], θ, 0, 2.2 π, 
 AspectRatio -> 1, PlotStyle -> Black, AbsoluteThickness@3]], 
 n, 1, Length @ pts, 1]]

Two thing I would like to achieve:

1. I don't want to see the yellow highlited region.


2. When inner loop is shaded twice, I would like to make it darker to emphasize that it is the 2nd time.

Any suggestion..

plotting filling

share|improve this question

edited 1 hour ago

Okkes Dulgerci

asked 3 hours ago

Okkes DulgerciOkkes Dulgerci

5,4641919

$endgroup$

With[
 pts = 
 Cases[PolarPlot[1 + 2 Sin[θ], θ, 0, 2 π], _Line, 0, Infinity][[1, 1]],
 Manipulate[
 Show[
 ListLinePlot[0, 0, pts[[n]], pts[[1 ;; n]], 
 Filling -> 2 -> Axis, LightBlue, 1 -> Axis, LightBlue, 
 PlotRange -> -2, 2, -0.5, 3.2, AspectRatio -> 1, 
 PlotStyle -> Directive[AbsoluteThickness@3, Magenta, Magenta], 
 ImageSize -> 500, AxesStyle -> Directive[Black, 18], 
 PlotLabel -> Style["r=1+2 sin(θ)", Black, 20]], 
 PolarPlot[1 + 2 Sin[θ], θ, 0, 2.2 π, 
 AspectRatio -> 1, PlotStyle -> Black, AbsoluteThickness@3]], 
 n, 1, Length @ pts, 1]]

share|improve this question

edited 1 hour ago

Okkes Dulgerci

asked 3 hours ago

Okkes DulgerciOkkes Dulgerci

5,4641919

share|improve this question

edited 1 hour ago

Okkes Dulgerci

asked 3 hours ago

Okkes DulgerciOkkes Dulgerci

5,4641919

asked 3 hours ago

Okkes DulgerciOkkes Dulgerci

5,4641919

asked 3 hours ago

Okkes DulgerciOkkes Dulgerci

5,4641919

1 Answer
1

active

oldest

votes

2

$begingroup$

This is what you need:

Manipulate[ParametricPlot[
 r (1 + 2 Sin[θ]) Cos[θ], Sin[θ],
 θ, 0, thmax,
 r, 0, 1,
 PlotRange -> -2.25, 2.25, -0.5, 3.5,
 PerformanceGoal -> "Quality"
 ], thmax, 0.01, 2 Pi]

share|improve this answer

edited 35 mins ago

m_goldberg

88.9k873200

answered 56 mins ago

C. E.C. E.

51.2k3101207

$endgroup$

add a comment | 

Your Answer

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

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

Name

Email

Required, but never shown

StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmathematica.stackexchange.com%2fquestions%2f195619%2fdynamic-filling-of-a-region-of-a-polar-plot%23new-answer', 'question_page');

);

Post as a guest

Name

Email

Required, but never shown

2

$begingroup$

This is what you need:

Manipulate[ParametricPlot[
 r (1 + 2 Sin[θ]) Cos[θ], Sin[θ],
 θ, 0, thmax,
 r, 0, 1,
 PlotRange -> -2.25, 2.25, -0.5, 3.5,
 PerformanceGoal -> "Quality"
 ], thmax, 0.01, 2 Pi]

share|improve this answer

edited 35 mins ago

m_goldberg

88.9k873200

answered 56 mins ago

C. E.C. E.

51.2k3101207

$endgroup$

add a comment | 

2

$begingroup$

This is what you need:

Manipulate[ParametricPlot[
 r (1 + 2 Sin[θ]) Cos[θ], Sin[θ],
 θ, 0, thmax,
 r, 0, 1,
 PlotRange -> -2.25, 2.25, -0.5, 3.5,
 PerformanceGoal -> "Quality"
 ], thmax, 0.01, 2 Pi]

share|improve this answer

edited 35 mins ago

m_goldberg

88.9k873200

answered 56 mins ago

C. E.C. E.

51.2k3101207

$endgroup$

add a comment | 

$begingroup$

This is what you need:

Manipulate[ParametricPlot[
 r (1 + 2 Sin[θ]) Cos[θ], Sin[θ],
 θ, 0, thmax,
 r, 0, 1,
 PlotRange -> -2.25, 2.25, -0.5, 3.5,
 PerformanceGoal -> "Quality"
 ], thmax, 0.01, 2 Pi]

share|improve this answer

edited 35 mins ago

m_goldberg

88.9k873200

answered 56 mins ago

C. E.C. E.

51.2k3101207

$endgroup$

Manipulate[ParametricPlot[
 r (1 + 2 Sin[θ]) Cos[θ], Sin[θ],
 θ, 0, thmax,
 r, 0, 1,
 PlotRange -> -2.25, 2.25, -0.5, 3.5,
 PerformanceGoal -> "Quality"
 ], thmax, 0.01, 2 Pi]

share|improve this answer

edited 35 mins ago

m_goldberg

88.9k873200

answered 56 mins ago

C. E.C. E.

51.2k3101207

edited 35 mins ago

m_goldberg

88.9k873200

edited 35 mins ago

m_goldberg

88.9k873200

answered 56 mins ago

C. E.C. E.

51.2k3101207

answered 56 mins ago

C. E.C. E.

51.2k3101207