We are going to visit the LEGO World Jaarbeurs in Utrecht (Netherlands) today and that triggered an idea which ended up in the following result ...
Chestahedron build with LEGO blocks

I am very excited about this and probably will buy the needed LEGO blocks today in order to build the Chestahedron geometry at home.
I used the free web based software Tinkercad to generate the LEGO brick model. The first thing to do was to import the Chestahedron model I created previously in Fusion360 , see this post
Once imported you can press the "Brick" Button and Tinkercad will transform the model into a LEGO based shape.

To me the result is simply amazing and I am very excited about to build one with real LEGO bricks to be honest.

View of LEGO layers needed to build up the Chestahedron

Looks nice on all sides
All the best!