@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...
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What if we replace that plane by a hyperbolic tessellation, or better yet, the heptagons that tesselate the Klein quartic?
@soma_arc and I are nearing the point where we can make pictures of those boundaries, but I have no idea how to make pictures of the spaces those...1 reply 0 retweets 0 likesShow this thread -
automorphic forms inhabit because there are two hyperbolic dimensions at right angles to each other.
1 reply 0 retweets 0 likesShow this thread -
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 it2 replies 0 retweets 0 likesShow this thread
and an informative coloring over the apollonian (7,3) can be lifted to that space.
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