Mathematica Asked by SRoy_00 on July 15, 2021
I have a matrix with ‘n’ rows and 3 columns where the first two columns are the X and Y values and the third column is f(x,y). All values are numeric. I want to do a 2D-plot where third column gives the colour of the points. How to do it? I want only points and want to plot it like a Temperature map.
With a few bells and whistles
Clear["Global`*"]
SeedRandom[1];
f[{x_, y_}] := {x, y} . {1, 1}^2
data = Append[#, f[#]] & /@ RandomReal[1, {10, 2}];
{zmin, zmax} = MinMax[data[[All, 3]]]
(* {0.3071, 1.80233} *)
Legended[
Graphics[{
PointSize[Large],
{ColorData["TemperatureMap"][
Rescale[#[[3]], {zmin, zmax}]],
Tooltip[Point[Most@#], #]} & /@ data},
Frame -> True,
Background -> Black,
FrameStyle -> White,
FrameLabel -> (Style[#, 14, Bold] & /@ {x, y}),
PlotRangePadding -> Scaled[.05],
ImageMargins -> 20],
BarLegend[{"TemperatureMap", {zmin, zmax}},
LegendLabel -> Style[z, 14, Bold]]]
Correct answer by Bob Hanlon on July 15, 2021
(** some fake data - a matrix of:
{{x1,y1,f[x1,y1]},
{x2,y2,f[x2,y2]},
...,
{xn,yn,f[xn,yn]}} **)
SeedRandom[1];
f[{x_, y_}] := {x, y} . {1, 1}^2
data = Append[#, f[#]] & /@ RandomReal[1, {10, 2}];
(* get a TemperatureMap and scale f[x,y] into [0,1] *)
cf = ColorData["TemperatureMap"];
colsScaled = cf /@ Rescale[data[[All, 3]]];
Graphics[{PointSize[Large],
Point[data[[All, ;; 2]], VertexColors -> colsScaled]
}, Axes -> True, Background -> Black, AxesStyle -> White
]
Answered by flinty on July 15, 2021
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