Thank you for the comments.
I really like the look of this! Why did you decide on the different cut patterns?
The whole puzzle is an error in reasoning.
At first the idea was to cut all six centers like the bottom view.
Then I've noticed, that it looks to much like the Rex-Cuboctahedron
and the Master Skewb Cuboctahedron
The solution was the top view.
@ Drake + mitchblahman: very creative, thank you