Symmetry types

Hello, someone (programmers, sculptors, nodes users, anybody) knows how to modify appearance of axes? (To completely rebuild them/ change their position, angle degree and point of origin if needed) I want it for example to get central-spatial form of symmetry “star like” looking, that designate some of euclidean geometry shapes. But with cubic/ regular/ default axes position is rather problematic and hard to experiment with my ideas.

Visually im talking something like this

colored things are supposed new/ deformed axes

Thank you in advance

The title is a bit missleading …
The axis gizmos (GUI) can’t be modified (except color, thicknes?) AFAIK. But you can rotate you object and use local:

But if you wanna use non-cartesian coords (directly in blender)… then i think you are out of luck…