Re: Flat colour in RegionPlot; millions of little triangles

• To: mathgroup at smc.vnet.net
• Subject: [mg81668] Re: Flat colour in RegionPlot; millions of little triangles
• From: ulises <ulises at wolfram.com>
• Date: Mon, 1 Oct 2007 04:44:46 -0400 (EDT)
• References: <fdkqst\$7bk\$1@smc.vnet.net><fdnlcc\$kk6\$1@smc.vnet.net>

```
Use:

RegionPlot[
Abs[Nest[(#^2 + x + I y) &, x + I y, 16]] < 2, {x, -2, 1}, {y, -1.5,
1.5}, PlotStyle -> None]

Note that the interior polygons are tere for a reason, for example,
this works as expected:

g = RegionPlot[
Abs[Nest[(#^2 + x + I y) &, x + I y, 16]] < 2, {x, -2, 1}, {y, -1.5,
1.5}, PlotStyle -> None]

g2 = g /. {Line[x_] -> {Line[x], Polygon[x]}}

so, why we do not do this by default? well because then this will not
work:

RegionPlot[x^2 + y^2 > 1 && x^2 + y^2 < 9, {x, -3, 3}, {y, -3, 3}]

g = RegionPlot[x^2 + y^2 > 1 && x^2 + y^2 < 9, {x, -3, 3}, {y, -3, 3},
PlotStyle -> None]

g2 = g /. {Line[x_] -> {Line[x], Polygon[x]}}

you need an interior mesh in order to handle interior holes in
regions, as well as general Mesh lines and other processing of other
options.

Ulises Cervantes
WRI

```

• Prev by Date: Re: 3D graphics resize unintentionally when rotated
• Next by Date: Re: Rotate a 2D graph
• Previous by thread: Modifying the Default stylesheet?
• Next by thread: Re: Flat colour in RegionPlot; millions of little triangles