       Re: Plot: Problem with Mesh Option

• To: mathgroup at smc.vnet.net
• Subject: [mg102702] Re: [mg102661] Plot: Problem with Mesh Option
• From: Bob Hanlon <hanlonr at cox.net>
• Date: Wed, 19 Aug 2009 07:03:51 -0400 (EDT)

```timevector = Range[0, 10]/10;

pts = {#, Sin[#]} & /@ timevector;

Plot[Sin[t], {t,
First[timevector], Last[timevector]},
Epilog -> {PointSize[Large], Red, Point[pts]}]

Or use ListLinePlot

ListLinePlot[pts,
PlotMarkers -> Graphics[{Red,
PointSize[Large], Point[{0, 0}]}],
PlotStyle -> Blue]

Or use graphics primitives

Graphics[{Blue, Line[pts],
Red, PointSize[Large], Point[pts]},
Axes -> True,
AspectRatio -> 1/GoldenRatio]

Bob Hanlon

---- Benjamin Hell <hell at exoneon.de> wrote:

=============
Hi,
I'm currently stuck on figuring out how to display the full mesh when
manually defining it via passing a list of points, which looks like this:

timevector = Table[0.1*i, {i, 0, 10}];
Plot[Sin[t], {t, First[timevector], Last[timevector]},
Mesh -> {timevector}, MeshStyle -> Directive[PointSize[Large], Red]]

The whole thing works as expected, but the first and the last point of
the mesh, which correspond to {0,Sin} and {1,Sin} in the example
above, don't show up. So how can I fix that?

Here is my further investigation:
- The points of course do show up if I increase the time interval on
both sides, let's say {t, First[timevector]-0.1, Last[timevector]+0.1}
but this is not a proper solution to me.

- Workarounds that do work:
1.Manually inserting the points in the Graphics output via a
new Graphics object (not that nice):
Show[
Plot[Sin[t], {t, First[timevector], Last[timevector]},
Mesh -> {timevector}, MeshStyle -> Directive[PointSize[Large],
Red]],
Graphics[{PointSize[Large], Red,
Point[{First[timevector], Sin[First[timevector]]}],
Point[{Last[timevector], Sin[Last[timevector]]}]}]
]

2.Using ParametricPlot instead of Plot (the best solution I
found):
ParametricPlot[{t, Sin[t]}, {t, First[timevector],
Last[timevector]},
Mesh -> {timevector}, MeshStyle -> Directive[PointSize[Large],
Red]]