Horocycle

（重定向自Limit circle）

The order-3 apeirogonal tiling, ∞,3, fills the hyperbolic plane with apeirogons whose vertices exist along horocyclic paths.

Circles seen in a Apollonian gasket that are tangent to the external circle can be considered horocycles in a Poincare disk model

In hyperbolic geometry, a horocycle (Greek:ὅριον + κύκλος — border + circle, sometimes called an oricycle , oricircle, or limit circle ) is a curve whose normal or perpendicular geodesics all converge asymptotically in the same direction . It is the two-dimensional example of a horosphere (or orisphere).

单词	Limit circle
释义	Limit circle 英语百科 Horocycle （重定向自Limit circle） In hyperbolic geometry, a horocycle (Greek:ὅριον + κύκλος — border + circle, sometimes called an oricycle , oricircle, or limit circle ) is a curve whose normal or perpendicular geodesics all converge asymptotically in the same direction . It is the two-dimensional example of a horosphere (or orisphere).
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