@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...
automorphic forms inhabit because there are two hyperbolic dimensions at right angles to each other.
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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 itShow this thread -
and an informative coloring over the apollonian (7,3) can be lifted to that space.
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