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