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 - How to draw lines between specified dots on ListPlot?

I would like to create a plot where I have unconnected dots and some connected. So far, I have figured out how to draw the dots. My code is the following: ListPlot[{{1, 1}, {2, 2}, {3, 3}, {4, 4}, {1, 4}, {2, 5}, {3, 6}, {4, 7}, {1, 7}, {2, 8}, {3, 9}, {4, 10}, {1, 10}, {2, 11}, {3, 12}, {4,13}, {2.5, 7}}, Ticks -> {{1, 2, 3, 4}, None}, AxesStyle -> Thin, TicksStyle -> Directive[Black, Bold, 12], Mesh -> Full] I have thought using ListLinePlot command, but I don't know how to specify to the command to draw only selected lines between the dots. Do have any suggestions/hints on how to do that? Thank you. Answer One possibility would be to use Epilog with Line : ListPlot[ {{1, 1}, {2, 2}, {3, 3}, {4, 4}, {1, 4}, {2, 5}, {3, 6}, {4, 7}, {1, 7}, {2, 8}, {3, 9}, {4, 10}, {1, 10}, {2, 11}, {3, 12}, {4, 13}, {2.5, 7}}, Ticks -> {{1, 2, 3, 4}, None}, AxesStyle -> Thin, TicksStyle -> Directive[Black, Bold, 12], Mesh -> Full, Epilog -> { Line[ ...

equation solving - Invert and fit implicitly defined curve

I need to fit an implicitly defined curve. I thought I could get some data out of Solve , and then using FindFit . Therefore, I would like to find the relation the parametric curve defined by $F(x,y)=0$: Solve[-(1/2) + 1/2 (0.41202 BesselK[0, 0.1 Sqrt[x^2 + y^2]] + (0.101483 x BesselK[1, 0.1 Sqrt[x^2 + y^2]])/Sqrt[x^2 + y^2]) == 0, y] But I can't get an output: Solve was unable to solve the system with inexact coefficients or the system obtained by direct rationalization of inexact numbers present in the system. Since many of the methods used by Solve require exact input, providing Solve with an exact version of the system may help. >> Edit: In particular, I would like to fit the data coming from the curve with the expression of another curve, and not with a function $f(x)$. In particular, since this clearly looks like a cardioid , I would like it to fit to something like it. What other strategies could I try?

dynamic - How can I make a clickable ArrayPlot that returns input?

I would like to create a dynamic ArrayPlot so that the rectangles, when clicked, provide the input. Can I use ArrayPlot for this? Or is there something else I should have to use? Answer ArrayPlot is much more than just a simple array like Grid : it represents a ranged 2D dataset, and its visualization can be finetuned by options like DataReversed and DataRange . These features make it quite complicated to reproduce the same layout and order with Grid . Here I offer AnnotatedArrayPlot which comes in handy when your dataset is more than just a flat 2D array. The dynamic interface allows highlighting individual cells and possibly interacting with them. AnnotatedArrayPlot works the same way as ArrayPlot and accepts the same options plus Enabled , HighlightCoordinates , HighlightStyle and HighlightElementFunction . data = {{Missing["HasSomeMoreData"], GrayLevel[ 1], {RGBColor[0, 1, 1], RGBColor[0, 0, 1], GrayLevel[1]}, RGBColor[0, 1, 0]}, {GrayLevel[0], GrayLevel...

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