Hypercycle (hyperbolic geometry)

（重定向自Equidistant curve）

A Poincaré disk showing the hypercycle HC that is determined by the line L and point P

The tritetragonal tiling, in a Poincaré disk model, can be seen with edge sequences that follow hypercycles.

In hyperbolic geometry, a hypercycle, hypercircle or equidistant curve is a curve whose points have the same orthogonal distance from a given straight line (its axis).

Given a straight line L and a point P not on L, one can construct a hypercycle by taking all points Q on the same side of L as P, with perpendicular distance to L equal to that of P.

单词	Equidistant curve
释义	Equidistant curve 英语百科 Hypercycle (hyperbolic geometry) （重定向自Equidistant curve） In hyperbolic geometry, a hypercycle, hypercircle or equidistant curve is a curve whose points have the same orthogonal distance from a given straight line (its axis). Given a straight line L and a point P not on L, one can construct a hypercycle by taking all points Q on the same side of L as P, with perpendicular distance to L equal to that of P.
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