RegionPlot of annulus gives a meshHow 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
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RegionPlot of annulus gives a mesh
How 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
$begingroup$
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;)
*note, I used wolfram programing lab.
graphics regions
edited Mar 29 at 20:48
MarcoB
38.6k557115
asked Mar 29 at 20:00
Ion SmeIon Sme
877
$endgroup$
|
show 4 more comments
$begingroup$
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;)
*note, I used wolfram programing lab.
graphics regions
edited Mar 29 at 20:48
MarcoB
38.6k557115
asked Mar 29 at 20:00
Ion SmeIon Sme
877
$endgroup$
$begingroup$
What are $a$ and $b$ here?
$endgroup$
– mjw
Mar 29 at 20:03
$begingroup$
Try a=1; b=5; But really any values give something weird
$endgroup$
– Ion Sme
Mar 29 at 20:08
4
$begingroup$
Because it discretized the region in order to plot it, and it is showing the underlying triangulation mesh.
$endgroup$
– MarcoB
Mar 29 at 20:12
1
$begingroup$
@IonSme I guess they just use different defaults for plotting; the Graphics result is "normal-looking" though.
$endgroup$
– MarcoB
Mar 29 at 20:17
2
$begingroup$
There are some subtle differences going on how Mma showsRegions andRegionPlotGraphics. AlsoRegions can be defined analytically viaImplicitRegionorParametricRegionor as 'flat'MeshRegions.DiscretizeRegionconverts every type to aMeshRegionand some functions likeRegionPlotmight use something similar toDiscretizeRegionunder the hood to make plotting easier, whose discretization it for some reason decides to show. Like others wrote you can useImplicitRegionto get a different (not discretized) look in your case.
$endgroup$
– Thies Heidecke
Mar 29 at 21:19
|
show 4 more comments
$begingroup$
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;)
*note, I used wolfram programing lab.
graphics regions
edited Mar 29 at 20:48
MarcoB
38.6k557115
asked Mar 29 at 20:00
Ion SmeIon Sme
877
$endgroup$
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;)
*note, I used wolfram programing lab.
graphics regions
graphics regions
edited Mar 29 at 20:48
MarcoB
38.6k557115
asked Mar 29 at 20:00
Ion SmeIon Sme
877
edited Mar 29 at 20:48
MarcoB
38.6k557115
asked Mar 29 at 20:00
Ion SmeIon Sme
877
edited Mar 29 at 20:48
MarcoB
38.6k557115
edited Mar 29 at 20:48
MarcoB
38.6k557115
edited Mar 29 at 20:48
MarcoB
38.6k557115
38.6k557115
asked Mar 29 at 20:00
Ion SmeIon Sme
877
asked Mar 29 at 20:00
Ion SmeIon Sme
877
asked Mar 29 at 20:00
Ion SmeIon Sme
877
877
$begingroup$
What are $a$ and $b$ here?
$endgroup$
– mjw
Mar 29 at 20:03
$begingroup$
Try a=1; b=5; But really any values give something weird
$endgroup$
– Ion Sme
Mar 29 at 20:08
4
$begingroup$
Because it discretized the region in order to plot it, and it is showing the underlying triangulation mesh.
$endgroup$
– MarcoB
Mar 29 at 20:12
1
$begingroup$
@IonSme I guess they just use different defaults for plotting; the Graphics result is "normal-looking" though.
$endgroup$
– MarcoB
Mar 29 at 20:17
2
$begingroup$
There are some subtle differences going on how Mma showsRegions andRegionPlotGraphics. AlsoRegions can be defined analytically viaImplicitRegionorParametricRegionor as 'flat'MeshRegions.DiscretizeRegionconverts every type to aMeshRegionand some functions likeRegionPlotmight use something similar toDiscretizeRegionunder the hood to make plotting easier, whose discretization it for some reason decides to show. Like others wrote you can useImplicitRegionto get a different (not discretized) look in your case.
$endgroup$
– Thies Heidecke
Mar 29 at 21:19
|
show 4 more comments
$begingroup$
What are $a$ and $b$ here?
$endgroup$
– mjw
Mar 29 at 20:03
$begingroup$
Try a=1; b=5; But really any values give something weird
$endgroup$
– Ion Sme
Mar 29 at 20:08
4
$begingroup$
Because it discretized the region in order to plot it, and it is showing the underlying triangulation mesh.
$endgroup$
– MarcoB
Mar 29 at 20:12
1
$begingroup$
@IonSme I guess they just use different defaults for plotting; the Graphics result is "normal-looking" though.
$endgroup$
– MarcoB
Mar 29 at 20:17
2
$begingroup$
There are some subtle differences going on how Mma showsRegions andRegionPlotGraphics. AlsoRegions can be defined analytically viaImplicitRegionorParametricRegionor as 'flat'MeshRegions.DiscretizeRegionconverts every type to aMeshRegionand some functions likeRegionPlotmight use something similar toDiscretizeRegionunder the hood to make plotting easier, whose discretization it for some reason decides to show. Like others wrote you can useImplicitRegionto get a different (not discretized) look in your case.
$endgroup$
– Thies Heidecke
Mar 29 at 21:19
$begingroup$
What are $a$ and $b$ here?
$endgroup$
– mjw
Mar 29 at 20:03
$begingroup$
What are $a$ and $b$ here?
$endgroup$
– mjw
Mar 29 at 20:03
$begingroup$
Try a=1; b=5; But really any values give something weird
$endgroup$
– Ion Sme
Mar 29 at 20:08
$begingroup$
Try a=1; b=5; But really any values give something weird
$endgroup$
– Ion Sme
Mar 29 at 20:08
4
4
$begingroup$
Because it discretized the region in order to plot it, and it is showing the underlying triangulation mesh.
$endgroup$
– MarcoB
Mar 29 at 20:12
$begingroup$
Because it discretized the region in order to plot it, and it is showing the underlying triangulation mesh.
$endgroup$
– MarcoB
Mar 29 at 20:12
1
1
$begingroup$
@IonSme I guess they just use different defaults for plotting; the Graphics result is "normal-looking" though.
$endgroup$
– MarcoB
Mar 29 at 20:17
$begingroup$
@IonSme I guess they just use different defaults for plotting; the Graphics result is "normal-looking" though.
$endgroup$
– MarcoB
Mar 29 at 20:17
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
Mar 29 at 21:19
$begingroup$
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
Mar 29 at 21:19
|
show 4 more comments
1 Answer
1
active
oldest
votes
$begingroup$
a = 1; b = 5;
Please try plotting with Region[]. These look okay to me:
Region[RegionDifference[Disk[0, 0, b], Disk[0, 0, a]]]
Region[Annulus[0, 0, a, b]]
Here is a decent plot, with RegionPlot:
RegionPlot[x^2 + y^2 > 1 && x^2 + y^2 < 25, x, -6, 6, y, -6, 6]
Here it is (again) with Graphics[]:
Graphics[LightBlue, Annulus[0, 0, a, b]]
answered Mar 29 at 20:07
mjwmjw
1,26810
$endgroup$
$begingroup$
Hmmm, that worked, but why is RegionPlot so funky?
$endgroup$
– Ion Sme
Mar 29 at 20:13
1
$begingroup$
I think MarcoB mostly answers this below your question. So we can then ask: Why doesRegionPlotuse one algorithm, andRegionanother?RegionPlotseems to like functions as inputs, and also likes to have the $x$ and $y$ ranges speciifed ...
$endgroup$
– mjw
Mar 29 at 20:17
add a comment |
Your Answer
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1 Answer
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1 Answer
1
active
oldest
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oldest
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oldest
votes
$begingroup$
a = 1; b = 5;
Please try plotting with Region[]. These look okay to me:
Region[RegionDifference[Disk[0, 0, b], Disk[0, 0, a]]]
Region[Annulus[0, 0, a, b]]
Here is a decent plot, with RegionPlot:
RegionPlot[x^2 + y^2 > 1 && x^2 + y^2 < 25, x, -6, 6, y, -6, 6]
Here it is (again) with Graphics[]:
Graphics[LightBlue, Annulus[0, 0, a, b]]
answered Mar 29 at 20:07
mjwmjw
1,26810
$endgroup$
$begingroup$
Hmmm, that worked, but why is RegionPlot so funky?
$endgroup$
– Ion Sme
Mar 29 at 20:13
1
$begingroup$
I think MarcoB mostly answers this below your question. So we can then ask: Why doesRegionPlotuse one algorithm, andRegionanother?RegionPlotseems to like functions as inputs, and also likes to have the $x$ and $y$ ranges speciifed ...
$endgroup$
– mjw
Mar 29 at 20:17
add a comment |
$begingroup$
a = 1; b = 5;
Please try plotting with Region[]. These look okay to me:
Region[RegionDifference[Disk[0, 0, b], Disk[0, 0, a]]]
Region[Annulus[0, 0, a, b]]
Here is a decent plot, with RegionPlot:
RegionPlot[x^2 + y^2 > 1 && x^2 + y^2 < 25, x, -6, 6, y, -6, 6]
Here it is (again) with Graphics[]:
Graphics[LightBlue, Annulus[0, 0, a, b]]
answered Mar 29 at 20:07
mjwmjw
1,26810
$endgroup$
$begingroup$
Hmmm, that worked, but why is RegionPlot so funky?
$endgroup$
– Ion Sme
Mar 29 at 20:13
1
$begingroup$
I think MarcoB mostly answers this below your question. So we can then ask: Why doesRegionPlotuse one algorithm, andRegionanother?RegionPlotseems to like functions as inputs, and also likes to have the $x$ and $y$ ranges speciifed ...
$endgroup$
– mjw
Mar 29 at 20:17
add a comment |
$begingroup$
a = 1; b = 5;
Please try plotting with Region[]. These look okay to me:
Region[RegionDifference[Disk[0, 0, b], Disk[0, 0, a]]]
Region[Annulus[0, 0, a, b]]
Here is a decent plot, with RegionPlot:
RegionPlot[x^2 + y^2 > 1 && x^2 + y^2 < 25, x, -6, 6, y, -6, 6]
Here it is (again) with Graphics[]:
Graphics[LightBlue, Annulus[0, 0, a, b]]
answered Mar 29 at 20:07
mjwmjw
1,26810
$endgroup$
a = 1; b = 5;
Please try plotting with Region[]. These look okay to me:
Region[RegionDifference[Disk[0, 0, b], Disk[0, 0, a]]]
Region[Annulus[0, 0, a, b]]
Here is a decent plot, with RegionPlot:
RegionPlot[x^2 + y^2 > 1 && x^2 + y^2 < 25, x, -6, 6, y, -6, 6]
Here it is (again) with Graphics[]:
Graphics[LightBlue, Annulus[0, 0, a, b]]
answered Mar 29 at 20:07
mjwmjw
1,26810
edited Mar 29 at 20:26
answered Mar 29 at 20:07
mjwmjw
1,26810
answered Mar 29 at 20:07
mjwmjw
1,26810
answered Mar 29 at 20:07
mjwmjw
1,26810
1,26810
$begingroup$
Hmmm, that worked, but why is RegionPlot so funky?
$endgroup$
– Ion Sme
Mar 29 at 20:13
1
$begingroup$
I think MarcoB mostly answers this below your question. So we can then ask: Why doesRegionPlotuse one algorithm, andRegionanother?RegionPlotseems to like functions as inputs, and also likes to have the $x$ and $y$ ranges speciifed ...
$endgroup$
– mjw
Mar 29 at 20:17
add a comment |
$begingroup$
Hmmm, that worked, but why is RegionPlot so funky?
$endgroup$
– Ion Sme
Mar 29 at 20:13
1
$begingroup$
I think MarcoB mostly answers this below your question. So we can then ask: Why doesRegionPlotuse one algorithm, andRegionanother?RegionPlotseems to like functions as inputs, and also likes to have the $x$ and $y$ ranges speciifed ...
$endgroup$
– mjw
Mar 29 at 20:17
$begingroup$
Hmmm, that worked, but why is RegionPlot so funky?
$endgroup$
– Ion Sme
Mar 29 at 20:13
$begingroup$
Hmmm, that worked, but why is RegionPlot so funky?
$endgroup$
– Ion Sme
Mar 29 at 20:13
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
Mar 29 at 20:17
$begingroup$
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
Mar 29 at 20:17
add a comment |
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$begingroup$
What are $a$ and $b$ here?
$endgroup$
– mjw
Mar 29 at 20:03
$begingroup$
Try a=1; b=5; But really any values give something weird
$endgroup$
– Ion Sme
Mar 29 at 20:08
4
$begingroup$
Because it discretized the region in order to plot it, and it is showing the underlying triangulation mesh.
$endgroup$
– MarcoB
Mar 29 at 20:12
1
$begingroup$
@IonSme I guess they just use different defaults for plotting; the Graphics result is "normal-looking" though.
$endgroup$
– MarcoB
Mar 29 at 20:17
2
$begingroup$
There are some subtle differences going on how Mma shows
Regions andRegionPlotGraphics. AlsoRegions can be defined analytically viaImplicitRegionorParametricRegionor as 'flat'MeshRegions.DiscretizeRegionconverts every type to aMeshRegionand some functions likeRegionPlotmight use something similar toDiscretizeRegionunder the hood to make plotting easier, whose discretization it for some reason decides to show. Like others wrote you can useImplicitRegionto get a different (not discretized) look in your case.$endgroup$
– Thies Heidecke
Mar 29 at 21:19