I’ve tried playing around with modifiers (simple deform / curve modifier), but, haven’t been
able to recreate it.

Since it’s mathematical and perhaps parametric, perhaps there’s a way to script (or formula) or node it
into python or math functions or sverchok (some combination python / nodes).

some stuff i found online on this subject that may be of use -

Quote - “Investigation of the rhombic polar zonohedra led to the discovery of related forms I call “k-armed rhombic spirallohedra.” They have cyclic symmetry, by a k-fold rotation around the symmetry axis, but do not have central symmetry. 3- and 4-armed spirallohedra close-pack to fill space, despite being bounded by thousands or millions of faces.”

The nice thing about that is it now comes bundled with Mathematica (for educational use only).

So, I can load an nb, but, doggoned if I can figure out how to use it.

Seems to me, there might be a way to create a spirallohedron via Mathematica and export it to
STL.

But, got to be able to figure it out first.

Mathematica’s got tons of interesting demo projects, but, it looks like there’s also a dividing line
between what’s possible (like Adobe Acrobat) with the Reader vs the Pro (gotta make a buck)
version.

I’m still inclined to think there’s a way to create a simple subdivided spiral, using Sverchok’s methodology,
rotate it and skin it and come up with something comparable as well.

Minute he mentioned sin’s, I knew I was out of my depth.

Convert → Mesh → 25 vert (see pict)
Duplicate → Rotate Z (90°)
Select 7 first verts → Extrude (snap to next vertex),
repeat extrusions to the bottom of the curve (Select all - Merge by distance).
Duplicate the mesh, 3x with a z rotation of 90°.

Adapt the operations for other shapes (3, 5, 6… “faces”).