As long as the dodecs are watertight and spaced sufficiently, they SHOULD print
without the bridging.
I just uploaded my finished product (without the bridging) to Shapeways and it
passed initial analysis for printing.
To the point. I've attached a blend file with three layers of process.
Solid_a, Solid_b, and Solid_c
They've all three been taken down to the delete faces part of the process.
On Solid_a, I selected the inner edges MANUALLY. Nothing else seemed
to work. I then setup a vertex group.
Solid_b, once I'd selected the inner edges, I then copied and scaled using
Shift-D to Copy and s to scale. After which I've joined them using Ctrl-J (in Object Mode).
Notice in Solid_b, the Edge Selection remains intact.
Next, I cheated. I used the "Loop Tools" addon. If I just use Ctrl-E Bridge Loop
in edit mode, it screws them all up. They should bridge DOWN. Instead some
really unintended things happen.
More on the Loop Tools addon here:
Quick Tip Loop Tools (I'm using it with Blender 2.75):
https://www.youtube.com/watch?v=Jnuj7BfTnVc
and the download (and info from the Author is here):
https://sites.google.com/site/bartiuscrouch/looptools#TOC-Ge neral-information
They show up on the left hand Transform menu as well as in the Specials menu
brought up with the "w" key. (as shown below:
Solid_c shows the edges already bridged using Loop Tools.
At this point you can apply the solidify and subsurface modifiers
(which will increase the size considerably).
I uploaded it, after that, to shapeways and it passed initial
printabliity analysis.
From looking at it, it doesn't look like the end result was
quite what luxxeon achieved in 3dsMax, but, as far as
Shapeways is concerned, I think it's about ensuring that
the model is watertight and of sufficient thickness.
Whether they're loose nested or connected (even if not
all) and of sufficient thickness, that seems to work for
printability.
Anyways, take a look, let me know how well it does
(or doesn't) work for you.