3D picture of the 38-sided Engel space-filling polyhedron

Question

On page 220 of Peter Engel's Geometric Crystallography, he describes a 38-sided convex polyhedron that can fill space.

I've seen this this accepted as the record in various places, but I've never seen a 3D picture. Has anyone ever managed to make one?

Answer 1

There is a "schematic drawing" of the Engel polyhedron in Marjorie Senechal's book Crystalline Symmetries. It appears as Figure 1.14 on page 14.

Answer 2

Here is the figure (I assume it is this one) in Grünbaum's paper to which Joe Malkevitch refers:
     

Answer 3

Now there is a computed 3D model of it with animation, interactive rotation, and space-filling arrangement of a few polyhedrons:

https://community.wolfram.com/groups/-/m/t/2617634