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Killing my boredom, I played a bit on Geogebra and started this uniform hyperbolic pattern consisting of 8 circles per vertex.

Considering my Poincaré disk model is of Gaussian curvature -1, and using if possible the circumference of a circle of radius $r$ being equal to $2\pi\sinh(r)$, what is the radius of the circles?

Bonus points if you can name this pattern.

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