How to represent a data list by arrows?
Mathematica Asked by SAC on May 23, 2021
I have a code that builds a plot with 7 functions and mark 4 points. Each level of list data describes a function (see below).
The curves are created from the "data" input from ListLinePlot. The points e0, e1, e2, and e3 are created from Graphics.
e0={0,0};
e1={0.230769, 0};
e2={0, 0.230769};
e3={0.104895, 0.104895};
data= {{{0.1, 0.1}, {0.1014, 0.1014}, {0.102414, 0.102414}, {0.10314,
0.10314}, {0.103658, 0.103658}, {0.104025, 0.104025}, {0.104284,
0.104284}, {0.104466, 0.104466}, {0.104594, 0.104594}, {0.104684,
0.104684}, {0.104747, 0.104747}, {0.104792, 0.104792}, {0.104823,
0.104823}, {0.104844, 0.104844}, {0.10486, 0.10486}, {0.10487,
0.10487}, {0.104878, 0.104878}, {0.104883, 0.104883}, {0.104887,
0.104887}, {0.104889, 0.104889}, {0.104891, 0.104891}, {0.104892,
0.104892}, {0.104893, 0.104893}, {0.104894, 0.104894}, {0.104894,
0.104894}, {0.104894, 0.104894}, {0.104895, 0.104895}, {0.104895,
0.104895}, {0.104895, 0.104895}, {0.104895, 0.104895}, {0.104895,
0.104895}, {0.104895, 0.104895}, {0.104895, 0.104895}, {0.104895,
0.104895}, {0.104895, 0.104895}, {0.104895, 0.104895}, {0.104895,
0.104895}, {0.104895, 0.104895}, {0.104895, 0.104895}, {0.104895,
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0.104895}, {0.104895, 0.104895}}, {{0.1, 0.2}, {0.0858,
0.1768}, {0.0783055, 0.16554}, {0.0736041, 0.159356}, {0.0703449,
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0.104895}, {0.104895, 0.104895}, {0.104895, 0.104895}, {0.104895,
0.104895}, {0.104895, 0.104895}, {0.104895, 0.104895}, {0.104895,
0.104895}, {0.104895, 0.104895}, {0.104895, 0.104895}, {0.104895,
0.104895}, {0.104895, 0.104895}, {0.104895, 0.104895}, {0.104895,
0.104895}, {0.104895, 0.104895}, {0.104895, 0.104895}, {0.104895,
0.104895}, {0.104895, 0.104895}, {0.104895, 0.104895}, {0.104895,
0.104895}, {0.104895, 0.104895}, {0.104895, 0.104895}, {0.104895,
0.104895}, {0.104895, 0.104895}}}
set=ListLinePlot[data, PlotRange -> {{0, 0.5}, {0, 1}},
Frame -> True]
Show[set, Graphics[{Black, PointSize[Large], Point[e0], Point[e1],
Point[e2], Point[e3]}]]
The output of this code is the figure below.
Instead of using the continuous line to represent the function, I would like to use arrows, similar to the figure below.
In addition, I would like to bring the points forward so that they are not hidden.
The corresponding image of what I am looking for is similar to the following.
P.s. I tried using ListVectorPlot Plot and ListStreamPlot, but it didn’t work.
can anybody help me?
One Answer
Update 2: Show "only the arrows, without the filled line"
i. Use Dashing[{0, 1, 0}] to show only arrowheads:
llp /. Line -> Arrow /. a_Arrow :> {Dashing[{0, 1, 0}], a}
ii. Use "→" as arrow head:
llp /. Line[x_] :> {LineColor -> White,
Arrowheads[{Automatic, #, Graphics[Text[Style["→", 14]]]} & /@
Subdivide[If[ArcLength[Line[x]] < .5, 7, 15]]], Arrow[x]}
iii. Partition line coordinates and skip some portions:
Needs["GraphUtilities`"]
llp /. l : Line[x_] :> {Thin, Arrowheads[.015],
Arrow /@
Partition[LineScaledCoordinate[x, #] & /@ N[Subdivide[100]],
2, Round[Sqrt @ Length[x]]]}
Replace 2 with 5 in Partition[...] to get
Update 1: Using ParametricPlot + BSplineFunction
ParametricPlot[Evaluate[BSplineFunction[#][t] & /@ data], {t, 0, 1},
AspectRatio -> 1/GoldenRatio, Frame -> True,
PlotRange -> All, ImageSize -> 500,
PlotRangePadding -> 0, PlotRangeClipping -> False,
Epilog -> {Black, PointSize[Large], Point[e0], Point[e1], Point[e2],
Point[e3]},
PlotStyle -> (Directive[Arrowheads[ConstantArray[.025, #]]] & /@
Round[Sqrt @ Normalize[ArcLength /@ Line /@ data, Min]])] /.
Line -> Arrow
Original answer:
llp = ListLinePlot[data, PlotRange -> {{0, 0.5}, {0, 1}},
PlotStyle -> Arrowheads[ConstantArray[.02, 10]],
Frame -> True,
ImageSize -> Large,
PlotRangeClipping -> False,
Epilog -> {Black, PointSize[Large], Point[e0], Point[e1], Point[e2],
Point[e3]}] ;
llp /. Line -> Arrow
Answered by kglr on May 23, 2021
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