Later…the model at TurboSquid was created in Blender. =)
Just need to figure out how, now. It is probably the lowest level
Calabi-Yau space.
Just found this treasure trove of tutorials on using math in Blender to
create geometry.

Thanks…yes am currently reading “Quantum Space” by Jim Baggott.
He does a great job filling in the history, and explaining with wit and clarity.
Inspired me to want to visualize the spaces as far as possible with the limitations
of 3D + time.

Will try to use the Math XYZ Surface
Add > Mesh > Math Function > XYZ Math Surface
Right after creating the mesh, hit F6 in 2.79 or F9 in 2.81 to open the GUI.
Thanks to Vince_Bly & PyBlend for that info on finding the GUI.

Do you mean the addon? It’s part of Blender, just needs to be enabled.
Here’s a good post at Blender StackExchange:

To enable the addon, open the User Preferences and search for the Extra Objects addon and enable it. Now in the Add menu you should find Mesh/Math Function/XYZ Math Surface. This allows you to define the coordinates of points in XYZ space as two variables (U and V) are varied.

I don’t know if the Math Function can use the equations necessary to create
a Calabi Yau space, but hope to use it to create some interesting objects in any
case.

I’m not a math whiz, so may be expecting too much from the Math Function,
but will run it by a mathematician that has created Calabi Yau spaces, and
see if he thinks it’s doable.
Maybe a fractal generator like Mandelbulb or Mandelbulber would work.
Nothing ventured, nothing gained.
So venturing.

Well, I have to admit I’m at a loss how to accurately model even the simplest Calabi Yau
“space” in Blender.
I hope someone with an understanding of higher math will continue, and share their
method. It’s just way beyond my comprehension.
I don’t know if the Math Function can be used or not, though it can create
very interesting shapes.

But at least I found it, and will work with it, though it will be like a monkey
hitting keys on a typewriter. =P

Here is the simplest Calabi Yau created in Mathematica.

As I understand it, the Calabi Yau spaces are the tiniest imaginable (Planck scale) with extra dimensions where the strings vibrate to create the particles the universe is made of. It’s all theoretical, but interesting.

There’s some good insights here on the math involved (using Mathematica):

Fun part is, a raspberry pi comes with a full version of Mathematica built in (for educational use only) (the raspbian distro). Getting better with every update.

Since I have a raspberry pi, I can test the code.

[Raspberry Pi SoC (System On a Chip), upwards from $ 35, works with an HDMI tv, built in wireless, built in bluetooth (I believe), options for robotics, remote op, assorted attachments. Tons of info here: