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X(1000), X(14563)

vertices of the intouch triangle

K573 is an example of central cubic psK passing through the vertices of two poristic equilateral triangles. See Pseudo-Pivotal Cubics and Poristic Triangles.

Its center X is the homothetic of X(1000) under h(X1, -1/2), now X(14563) in ETC (2017-09-28).

The pole X(14562) is a complicated point on the line X(65)X(513).