The above
view is looking down a 5-fold axis.

Here is the parts template. It is like a five-armed galaxy, so I
call this the
Galactic Puzzle.
This photo shows the view along a 3-fold axis.
Above is a computer rendering of that solution.
Cleverly, the same pieces can be
assembled into a second, looser arrangement.
Here is a rendering of it. I'll have to take a photo of this
solution to add below.