An octotetrahedric double helix of pitch 10 around a cylinder made of 25 decagonal prisms. Both structures don't fit exactly one another; because of this, the cylinder undergoes an irregular deformation, ultimately responsible for its leaning:

Both pentagons belong to a pair of pentagonal cupolas which close, and help to stabilize, the cylinder at both ends. In the following table, we give the piece quantities required for several numbers of helices and turns. We haven't counted the top ends of the helices which exceed the height of the cylinder, nor any special structure at their bases; we have counted two pentagonal cupolas, although it could be appropriate to use more for bigger sizes:

In the previous construction, all modules in each helix are attached to the central support. However, the structure of these helices is strong enough to allow using much less support. In the following construction, for each of the turns of each of the three helices, just four of ten modules are attached to the central support, in this case a 1 × 3 × 21 parallelepiped:

Similarly to the previous table, in the following one we have counted just the helices and the central support structure: