Mesh faces problem HELPPP

I am trying to get to a mesh like the one in this tutorial: (go to minute 2:46)

My model has all these naked edges that should not be there. Can anyone suggest how to fix it please? thanks (10.8 KB)
190407_Sample.3dm (281.8 KB)

Honestly it is only mesh smoothing you can either use kangaroo2 with minimal edge length or smooth it in the weaverbird:

The only thing you need to do is to remove quad faces inside the boxes.
If it does not smooth correctly try these rhino commands:
join, weld, weldvertices, alignmeshvertices, unifymeshnormals.

190407_Sample.3dm (376.7 KB) (7.1 KB)

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Thank you so much!