This figure illustrates how an infinite tree with bounded degree can be fitted into Hyperbolic space gracefully. The tree here is a 3-tree of 8 levels. All edges have the same Hyperbolic distance 2atanh(0.5)=1.098612289, and meet by the same angle 120 at each vertex. The above hyperbolic distance 2atanh(0.5) is critical in the sense that the infinite 3-tree will intersect with itself if the edge length is less than 2atanh(0.5).

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