Vignette

I’m not aware of functions that directly calculate (say, the limit set of) hyperideal honeycombs like this one. I wondered... are you wanting to draw 2D tilings or 3D honeycombs?

I have seen functions giving coordinates for certain honeycombs, e.g. https://www.jstor.org/stable/2415373  And I know the {4,4,4} has ideal points corresponding to a number field. See also http://nan.ma/hyperbolic/  by @mananself for discussion about coordinates of the {5,3,4}.