Point Alrescha is the triangle center obtained, when the following operations are defined, from the Parry
reflection point by taking its isogonal conjugate,
applying inversion in the circumcircle,
and taking the isogonal conjugate of the result.
Both conjugations use the original triangle. It is Kimberling center (Kimberling). The point takes its name from the star
Alrescha, also called Alpha Piscium (SkyEye), following Kimberling's convention of
using star names for some triangle centers (Kimberling).
Bernard Gibert discovered that Point Alrescha lies on the Lester circle of a scalene triangle whenever the
point and circle are both defined (Grozdev and Dekov 2016). The other four labeled
centers on the circle are the circumcenter , nine-point center
, first Fermat point
, and second
Fermat point
.