this is another batch of 6 slot-fillers.
After finishing these there are currently 4 items missing for the completed series.
What do we have here? Six simple truncations of a 3x3x3. In all six cases I used the same truncation scheme, a completely asymmetrical one: The cutting depth of the corners are 345, compared with 444 for the HalfTruncatedCube.
All six variants represent a subgroup of Oh, which is the group of octahedral point symmetries.
The variants from left to right are:
- The trivial subgroup. No symmetry at all.
- Point symmetry at the cubes central.
- Mirroring at a plane parallel to opposing faces.
- Mirroring at a plane going through opposing edges.
- Rotational symmetry (of 180°) along an axis going through two opposing face pieces.
- Rotational symmetry (of 180°) along an axis going through two opposing edges.
Does anybody understand what I want to describe here?
EDIT: Corrected some minor mistakes