Thank you for the comments.
Frank Tiex wrote:
My wife would be very happy for that!!
I am always open for an exchange...
I assume this series has all dodecahedral cuts?
Kind of. I call this cutting technique "sharp edges". And: Yes. If you apply 12 of these cuts in an appropriate pattern you get what I call "Sharp Edges Dodecahedron" or "Sharp Edges 1810452882060" where 1810452882060 is the cutting signature.
The first puzzle where I used this cutting technique (accidentially) was the Cheops Cube which signature is AA000.
How long we have to wait until the family will be complete?
There are 355048 different cutting signatures possible, where I have already ignored symmetries...
The number of variants with at least 5 non-trivial symmetries is 67.
But if you allow me to restrict me even more...