After announcing this puzzle it became clear that Tom van der Zanden made it first, in 2010. Here is the original announcement of mine from 10/2012.
This is a shape modification of my Pentultimate (mechanism v2.5), using caps to create a rhombic triacontahedron.
This modification was first suggested to my knowledge by Robert Webb in 2003 here.
One interesting thing about this modification is that it doesn’t change shape as many other pentultimate shape modifications do. It’s always a rhombic triacontahedron after every turn.
Every piece orientation matters, as opposed to the Pentultimate where only the triangles matter, or the Icosamate, where only the pentagons matter.
At the end of the video I’m attempting to show how well the puzzle can turn by using only one finger with fast turns. It gets a little loud…
Thanks for looking!
EDIT: I have learned that TomZ made this puzzle first, in 2010.