customization - Extracting data from Data paclet

In the $UserBasePacletsDirectory there are lots of paclets that have only Data as an element. These are loaded via the DataPaclets` functionality using the standard form:

DataPaclets`ImportData[
 pacletName<>"_"<>dataPart<>".wdx",
 DataPaclets`GetDataPacletResource[pacletName<>"_"<>dataPart, 
  dataSubpart<>".wdx"]
 ]

E.g.:

DataPaclets`ImportData[
 "ChemicalData_Index",

 DataPaclets`GetDataPacletResource[
  "ChemicalData_Index",
  "Properties.wdx"
  ]
 ]

This only works though when the .wdx file has the standard "Expression" part, e.g.:

DataPaclets`ImportData[
 "ChemicalData_Index",
 DataPaclets`GetDataPacletResource[

  "ChemicalData_Index",
  "Index.wdx"
  ]
 ]

this fails.

On the other hand for these indices we can pull stuff like:

DataPaclets`ImportData[
 "ChemicalData_Index",
 DataPaclets`GetDataPacletResource[

  "ChemicalData_Index",
  "Index.wdx"
  ],
 {"DataIndex", "Sources", "Data"}
 ]

Which will give us a long set of data specifying in what part we can find the actual data. For example we'll get something like "Part01" -> { ... } which seems to mean that the data for keys listed in that list can be found via:

DataPaclets`ImportData[
 "ChemicalData_Part01",
 DataPaclets`GetDataPacletResource[

  "ChemicalData_Part01",
  "Part01.wdx"
  ],
 {"DataTable", "Index"} (* Note that now we find the DataTable element *)
 ]

The problem is that the return from this is just a long list of really large ints and I have no idea what they mean and how to convert them to proper data.

I want to make my own Data paclet, but unfortunately I need to know how to export my data to make it work.

Does anyone know how to convert this? I really have no idea what it's supposed to be as the numbers range from around 440k to roughly 6 mil

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]],

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