@roice @soma_arc
You get something like a Siegel or Hilbert modular form on an upper half space with the bounding hyperplane etched with 2d lattice of limit set essential singularities either hex or square...
So it would be like @roice713 's https://youtu.be/GRo_FQm2KRc except:
There's an Apollonian limit set living on the (7,3) tiling with generator disks at each one of the vertices
There's a function over an upper half space lying atop (7,3) bounded by it
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and an informative coloring over the apollonian (7,3) can be lifted to that space.
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I’m not fully following, but it sounds interesting! Wondering if some other honeycomb boundary image would be closer to what you are describing than the {3,7,3} in that video.
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