graphics - Height-dependent filling color in 3D Data Plots

I would like to have the filling of my ListPlot3D display the same color than the one applied to the data. This question makes sense only in the case of conditional coloring of data (according to their height for example). Moreover, I am using the option InterpolationOrder -> 0 and I understand what I ask is kind of tricky in case of higher orders.

Here is a minimal example

table = {{1, 2, 1, 2}, {3, 1, 3, 2}, {4, 3, 4, 2}, {1, 2, 3, 4}};
ListPlot3D[

    table, 
    InterpolationOrder -> 0,
    ColorFunction -> "DarkRainbow", 
    Filling -> Axis,
    FillingStyle -> {Opacity[1]}, Mesh -> None
    ]

which gives gray filling beneath the data.

My question is the following :

Is it possible to specify a dynamic color in the FillingStyle so that it will match the data ?

Answer

If nobody comes with a much cleverer solution, this might be a way to achieve what you're looking for. However, first your data have to be reshaped.

newtable = {{1, 2, 1}, {3, 1, 3}, {4, 3, 4}};
BarChart3D[newtable, ChartLayout -> "Grid", 
    ViewPoint -> {3.33, -8.26, 5.36}, ColorFunction -> "DarkRainbow", 
    Method -> {"Canvas" -> None}]

plot1

With some additional options:

BarChart3D[newtable, ChartLayout -> "Grid", ChartElementFunction -> "Cube",

    ViewPoint -> {3.33, -8.26, 5.36}, ColorFunction -> "DarkRainbow",
    Method -> {"Canvas" -> None}, BarSpacing -> {None, None}]

plot2

Comments

plotting - Filling between two spheres in SphericalPlot3D

Manipulate[ SphericalPlot3D[{1, 2 - n}, {θ, 0, Pi}, {ϕ, 0, 1.5 Pi}, Mesh -> None, PlotPoints -> 15, PlotRange -> {-2.2, 2.2}], {n, 0, 1}] I cant' seem to be able to make a filling between two spheres. I've already tried the obvious Filling -> {1 -> {2}} but Mathematica doesn't seem to like that option. Is there any easy way around this or ... Answer There is no built-in filling in SphericalPlot3D . One option is to use ParametricPlot3D to draw the surfaces between the two shells: Manipulate[ Show[SphericalPlot3D[{1, 2 - n}, {θ, 0, Pi}, {ϕ, 0, 1.5 Pi}, PlotPoints -> 15, PlotRange -> {-2.2, 2.2}], ParametricPlot3D[{ r {Sin[t] Cos[1.5 Pi], Sin[t] Sin[1.5 Pi], Cos[t]}, r {Sin[t] Cos[0 Pi], Sin[t] Sin[0 Pi], Cos[t]}}, {r, 1, 2 - n}, {t, 0, Pi}, PlotStyle -> Yellow, Mesh -> {2, 15}]], {n, 0, 1}]

plotting - Plot 4D data with color as 4th dimension

I have a list of 4D data (x position, y position, amplitude, wavelength). I want to plot x, y, and amplitude on a 3D plot and have the color of the points correspond to the wavelength. I have seen many examples using functions to define color but my wavelength cannot be expressed by an analytic function. Is there a simple way to do this? Answer Here a another possible way to visualize 4D data: data = Flatten[Table[{x, y, x^2 + y^2, Sin[x - y]}, {x, -Pi, Pi,Pi/10}, {y,-Pi,Pi, Pi/10}], 1]; You can use the function Point along with VertexColors . Now the points are places using the first three elements and the color is determined by the fourth. In this case I used Hue, but you can use whatever you prefer. Graphics3D[ Point[data[[All, 1 ;; 3]], VertexColors -> Hue /@ data[[All, 4]]], Axes -> True, BoxRatios -> {1, 1, 1/GoldenRatio}]

plotting - Adding a thick curve to a regionplot

Suppose we have the following simple RegionPlot: f[x_] := 1 - x^2 g[x_] := 1 - 0.5 x^2 RegionPlot[{y < f[x], f[x] < y < g[x], y > g[x]}, {x, 0, 2}, {y, 0, 2}] Now I'm trying to change the curve defined by $y=g[x]$ into a thick black curve, while leaving all other boundaries in the plot unchanged. I've tried adding the region $y=g[x]$ and playing with the plotstyle, which didn't work, and I've tried BoundaryStyle, which changed all the boundaries in the plot. Now I'm kinda out of ideas... Any help would be appreciated! Answer With f[x_] := 1 - x^2 g[x_] := 1 - 0.5 x^2 You can use Epilog to add the thick line: RegionPlot[{y < f[x], f[x] < y < g[x], y > g[x]}, {x, 0, 2}, {y, 0, 2}, PlotPoints -> 50, Epilog -> (Plot[g[x], {x, 0, 2}, PlotStyle -> {Black, Thick}][[1]]), PlotStyle -> {Directive[Yellow, Opacity[0.4]], Directive[Pink, Opacity[0.4]],

Blog

Search This Blog