4D symmetry groups
Posted: Sun Jan 01, 2023 11:09 pm
For 4D, although the program is able to distinguish cells, faces, edges, and vertices by type, it still hasn't given the option to display (let alone select) the symmetry type of the polychoron.
This is especially evident when a polychoron has doubled pentachoric or 24-cell symmetry. The most recent wave of uniform disccoveries are mostly subsymmetrical facetings of existing uniform or isogonal polyhedron. The entire list of 4D symmetry groups can be quite difficult to enumerate; the more exotic ones are
* Halved 24-cell, toxitic, oxitic
* Ixitic, Ixoic
* Various swirlprism symmetries
I am hoping that displaying or even setting the symmetry group will be a viable update for the next release.
This is especially evident when a polychoron has doubled pentachoric or 24-cell symmetry. The most recent wave of uniform disccoveries are mostly subsymmetrical facetings of existing uniform or isogonal polyhedron. The entire list of 4D symmetry groups can be quite difficult to enumerate; the more exotic ones are
* Halved 24-cell, toxitic, oxitic
* Ixitic, Ixoic
* Various swirlprism symmetries
I am hoping that displaying or even setting the symmetry group will be a viable update for the next release.