rendering - How to Render, raytrace, Export Graphics3D in Mathematica 11.0

The Mathematica Package below exports to either of two popular human readable raytracer file formats (not 3ds which is proprietary/binary), and can be used Live in Mathematica interactively/Live. (it requires rayshade or povray binary which are easily available)

https://sourceforge.net/projects/rayshade-math/

Mathematica has import/export to institutional formats for geo mapping and chemical. For most, those are the work-horses and more the focus - but i have no idea there how well mm does exporting. Importing wise, Mathematica can use maps we all know that!

Below is a simple Mathematica scene with two optional raytrace directives inserted to specify appearance Mathematica/GL does not support.

<
g = Graphics3D[
Table[With[{p = {i, j, k}/3}, {RGBColor[p], RGBColor[p], 
  Sphere[p, .1]}], {i, 2}, {j, 2}, {k, 2}]];


g=Graphics3D[{RayInput["rayinput repeat # # # reflect .2"], 
Table[With[{p = {i, j, k}/3}, {Opacity[.75
  ], Specularity[RGBColor[p], 60], RGBColor[p], 
 Sphere[p, .1]}], {i, 2}, {j, 2}, {k, 2}], {Opacity[.44], , 
Specularity[RGBColor[.7, .7, .7], 60], 
RayInput["rayinput # # # reflect .7 index 1.3"], 
Sphere[{1/3 + 1/6, 1/3 + 1/6, 1/3 + 1/6}, .15]}}];

Rayshade[]

Much more complicated Graphics3D can be done, for 11.0 (too big to comment on) many will work, many not without Normal[] (due of lack of access to internal Mathematica code).

$a busy cat$ $rayshade-mathematica$

I'm interested if anyone is exporting to a Cuda rendering suite or even 3DStudio ARt Renderer and how well Export[] did (why is: in the past export was poor, could only do single objects, and i have no recent copy of 3DStudio to check today's results and I do not have fingers crossed since Wolfram only shows pics being exported not their results after rendering)

Comments

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 - 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 - Mathematica: 3D plot based on combined 2D graphs

I have several sigmoidal fits to 3 different datasets, with mean fit predictions plus the 95% confidence limits (not symmetrical around the mean) and the actual data. I would now like to show these different 2D plots projected in 3D as in but then using proper perspective. In the link here they give some solutions to combine the plots using isometric perspective, but I would like to use proper 3 point perspective. Any thoughts? Also any way to show the mean points per time point for each series plus or minus the standard error on the mean would be cool too, either using points+vertical bars, or using spheres plus tubes. Below are some test data and the fit function I am using. Note that I am working on a logit(proportion) scale and that the final vertical scale is Log10(percentage). (* some test data *) data = Table[Null, {i, 4}]; data[[1]] = {{1, -5.8}, {2, -5.4}, {3, -0.8}, {4, -0.2}, {5, 4.6}, {1, -6.4}, {2, -5.6}, {3, -0.7}, {4, 0.04}, {5, 1.0}, {1, -6.8}, {2, -4.7}, {3, -1....

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