dynamic - Current (e.g., ca. 2016 / MMa 10 / WP 4+) best practices for embedding interactive content in WordPress?

My strategy, in the past, has been to embed interactive CDF files into my WordPress blog for student's to use (Much like the Wolfram Demonstration Project).

As many know 1) the 'Plug in' architecture of modern web browsers is evolving (see Google Chrome and no CDF support for example), 2) the 'official' WRI CDF plugin no longer works, 3) thankfully, there is Mathematica Toolbox for WP but I continue to have trouble getting it to format correctly and show CDFs properly in Safari / Mac OS (e.g., CDF Failures, More CDF Failures, Mathematica Toolbox) and, finally, 4) WRI is advocating that we move this sort of stuff to the cloud™.

I suppose I'm all for the 'cloud™', but I'm getting really really tired of refactoring my work from various incarnations of webMathematica to embedded CDF and now to wolframcloud.com / WolframAPI. Furthermore, I venture that I have to make sure our college gives even more money to WRI to support this cloud stuff.

Using the WolframAPI for interactive stuff really doesn't seem to cut it (at least in my attempts) because the dynamic content keeps being sent back to be evaluated, etc, so you get crappy response.

Looking through the entirety of WRI's web, SE and the Internets-writ-large, I can't find a good "ok- look- here's how to do nice interactive / dynamic content with WordPress".

So I ask of you all, does anyone have suggestions for us WordPress-bound folk? Or am I thinking of this whole cloud/API thing the wrong way?

NB - @bobthechemist has asked a similar/related question here: How to design CloudObjects with reasonable CloudCredit costs

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 - 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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