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Re: Something other than PlotStyle to change look of graphs

• To: mathgroup at smc.vnet.net
• Subject: [mg124868] Re: Something other than PlotStyle to change look of graphs
• From: "E. Martín-Serrano" <eMartinSerrano at telefonica.net>
• Date: Fri, 10 Feb 2012 05:52:34 -0500 (EST)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• References: <201202081026.FAA06378@smc.vnet.net> <201202091044.FAA18526@smc.vnet.net>

The following examples are something definitely general

ch = Graphics[{Yellow, Disk[{0, 0}, Offset[5]], Yellow, Black,
   Circle[{0, 0}, Offset[5]], Red, Disk[{0, 0}, Offset[3]], Black,
   Circle[{0, 0}, Offset[3]]}, ImageSize -> 20 ]

rt = RotationTransform[-Pi/4, {0, 0}]

ParametricPlot[rt @{x + 1, x^2}, {x, -6, 6},
 PlotStyle -> Directive[White, Arrowheads[{{.1, .01, ch}}]],
 Oriented -> True, HowManyArrows -> 100,
 PlotRange -> {{-6, 6}, {-2, 11}}]

ParametricPlot[rt @{x + 1, x^2}, {x, -6, 6},
 PlotStyle -> Directive[Blue, Arrowheads[{{.1, .01, ch}}]],
 Oriented -> True, HowManyArrows -> 100,
 PlotRange -> {{-6, 6}, {-2, 11}}]


rt = RotationTransform[Pi/4, {0, 0}]

ParametricPlot[rt@{Cos[x] 5, Sin[x] 10}, {x, - Pi, 3 \[Pi]},
 PlotStyle -> Directive[White, Arrowheads[{{.1, .01, ch}}]],
 Oriented -> True, HowManyArrows -> 70,
 PlotRange -> {{- 3 Pi, 3 Pi}, {-11, 11}}]

But, to run these examples you need the CurvesGraphics package by Gianluca
Gorni,  that you may download here (for free at the time when I downloaded
it). Gianluca, on the other hand, is very supportive).

http://users.dimi.uniud.it/~gianluca.gorni/

The Guianluca package is meant to plot arrows in many forms at any distance
and in any color on almost any curve in 2D and 3D and much more; and by
substituting the standard (tip) arrow head by any custom-made picture, as
the double circle above, you are able to simulate any plot of the kind I
understand you need.

Besides, the Gianluca package supports the David  Park's  Presentations
package which, in my case, reduces  in  at least one order of magnitude the
effort of dealing with complex and multiple graphics either static or
dynamic.

http://home.comcast.net/~djmpark/index.html

Good luck.


E. Martin-Serrano





-----Mensaje original-----
De: E. Mart=EDn-Serrano [mailto:eMartinSerrano at telefonica.net]
Enviado el: jueves, 09 de febrero de 2012 11:45
Para: mathgroup at smc.vnet.net
Asunto: Re: Something other than PlotStyle to change look of
graphs

Try something like  this

ch = Graphics[{Yellow, Disk[{0, 0}, Offset[5]], Yellow, Black,
   Circle[{0, 0}, Offset[5]], Red, Disk[{0, 0}, Offset[3]], Black,
   Circle[{0, 0}, Offset[3]]}, ImageSize -> 20 ]

With[{f = {Cos[x] + Sin[x], Sin[x]}},
 Graphics[Table[{Hue[t/(2 Pi), 1, .8], Arrowheads[{{.1, 1, ch}}],
     Arrow[{f, Normalize[D[f, x]]/20 + f}]} /. x -> t, {t, 0,
    2 Pi, .1}]]]

Or this

With[{f = {Cos[x] + Sin[x], Sin[x]}},
 Graphics[Table[{Hue[t/(2 Pi), 1, .8], Arrowheads[{{.1, 1, ch}}],
     Arrow[{f, Normalize[D[f, x]]/10 + f}]} /. x -> t, {t, 0,
    2 Pi, .1}]]]

You can change the arrow head shape at will substituting the graphics form
in 'ch'

E. martin-Serrano

-----Mensaje original-----
De: cylurian [mailto:cylurian at gmail.com] Enviado el: mi=E9rcoles, 08 de
febrero de 2012 11:26
Para: mathgroup at smc.vnet.net
Asunto: Something other than PlotStyle to change look of graphs

I have three functions in one plot.  I'm using PlotStyle to differentiate
the graphs, but I need more options.  I need each graph to have some special
marker, like a diamond, circle, etc.  I'm using Mathematica 8 and I'm
also
using PlotLegend.  Any suggestions?

My code is:

Plot[{SurvivalFunction[WeibullDistribution[2.2, 3.2], x],
  SurvivalFunction[LogNormalDistribution[.1, .8], x],
  SurvivalFunction[ExponentialDistribution[.6], x]}, {x, 0, 5},  PlotStyle
-> {{ Black, Thickness[Small]}, {Dashing[Tiny],
    Black}, {Dashing[Large], Black, Thickness[Large]}},  AxesLabel ->
TraditionalForm /@ {t, "S(t)"}, Ticks -> None,  DisplayFunction -> Identity,
PlotLabel -> Style["Survival Curves", FontSize -> 18],  PlotLegend ->
{"Weibull", "LogNormal", "Exponential"},  LegendPosition -> {.3, -0.1},
LegendTextSpace -> 4,  LegendLabelSpace -> .5, LegendLabel -> "Survival
Curves",  LegendOrientation -> Vertical, LegendBackground -> White,
LegendSize -> .4, ShadowBackground -> White]

thx.

• References:
  • Something other than PlotStyle to change look of graphs
    • From: cylurian <cylurian@gmail.com>
  • Re: Something other than PlotStyle to change look of graphs
    • From: "E. Martín-Serrano" <eMartinSerrano@telefonica.net>