Orbiform CRF polychora

[Plasmath]

Do we know the complete set of orbiform CRF polychora? I know that the diminishings of the 600-cell and the segmentochora are orbiform, but are there any others?

[Klitzing]

First of all any convex uniform polychoron would be an orbiform CRF by definition.
Yes, all the various diminishings of ex, which are mentioned under the Blind polytopes, would belong there.
But there are additional, deeper diminishings of ex as well, which thus still are orbiform CRFs.
And surely you could variously diminish many other convex uniform polychora as well.
You might want to have a look here https://bendwavy.org/klitzing/explain/johnson.htm#crf.

--- rk