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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 43 mins ago

m_goldberg

88.9k873200

answered 1 hour ago

C. E.C. E.

51.2k3101207

$endgroup$

add a comment | 

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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 43 mins ago

m_goldberg

88.9k873200

answered 1 hour 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 43 mins ago

m_goldberg

88.9k873200

answered 1 hour 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 43 mins ago

m_goldberg

88.9k873200

answered 1 hour 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 43 mins ago

m_goldberg

88.9k873200

answered 1 hour ago

C. E.C. E.

51.2k3101207

edited 43 mins ago

m_goldberg

88.9k873200

edited 43 mins ago

m_goldberg

88.9k873200

answered 1 hour ago

C. E.C. E.

51.2k3101207

answered 1 hour ago

C. E.C. E.

51.2k3101207