WOW! Thank you very much mkraska. Amazing.

I think that a limit for stability is 40k points. Very difficult to rotate the graphic, but..it is a limit. A normal behavior I will consider until 5k points (to plot in ~5 s and easily rotate).

Again, thank you, because this will help me achieve my program (interaction volume for concrete design). And rarely I will need more than 5k points (I think 1M points was clearly an unthought exaggeration).

Here, the images:

SMath (40k points):




Mathcad(40k points): (plotting limit of Mathcad)



File:

Scatter plot_Kr-1.sm (153kb) downloaded 32 time(s).

Edited by user 11 May 2020 22:59:08(UTC)  | Reason: Not specified

Thank you for sharing test results.

There is another option for Maxima based plots in SMath.
You can use the same list of commands as argument list to the function Draw3D(). You can directly put this command into the placeholder of an Image region. This region displays images given by file name. And not really just by chance, the Draw3D() command returns the file name of the generated image. The drawback is that the image is just be scaled upon resizing the region and can't be rotated interactively.

This is sometimes more stable than using the interactive regions.

For further polishing the plot you can basically rely on the official maxima documentation of the draw package. However, not all options are supported by SMath. The german handbook (section 8.1) gives a good overview of what can be done with Maxima and SMath.

Note that pointsize (and possibly other options) don't account for high DPI settings. 0.01 is rarely visible on 4K.

On my steam engine: compute/rotate 5k in 19 seconds.

Rotate 3D TREASURY_4 Quaternions MODULO Matrix.sm (51kb) downloaded 40 time(s).

Quaternions rotation is even more important than Euler.
The other one is the 4 parameters rotation.
As given, each Modulo give 24 rotations each.
Add other combinations from alpha/beta !!!!!