These can be viewed as a construction of
polyhexes on angled planes, with the pieces allowed to
"flex" across the joints. I coined the name "Flexahexes"
for puzzles of this type.
Hover over an image to see a
solution.
Flexahexes with
7-fold
symmetry
Three sets of tetraflexahexes
Tri-, Tetra- and Pentaflexahexes
The hexagons here
are quite elongated making the polyforms very distorted in some
cases. However, this is the only geometry which works where the
seven planes contain a central nexus.
Tri-, Tetra- and Pentaflexahexes with
7-fold
symmetry and no central nexus
Flexahexes with
5-fold
symmetry and no central nexus
Mono-through-Tetraflexahexes
Mono-through-Tetraflexahexes
Pentaflexahexes
Mono-through-Pentaflexahexes
Mono-through-Pentaflexahexes
Flexahexes with
10-fold
symmetry and no central nexus