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K724

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X(74), X(265), X(5961), X(6344)

X(1989)-isoconjugates of the infinite points of the McCay cubic K003, vertices of an equilateral (blue) triangle

vertices of the (yellow) cevian triangle of X(94)

K724 is a nodal stelloid with node X(265). The nodal tangents are the parallels at X(265) to the asymptotes of the Jerabek hyperbola.

K724 is the X(1989)-isoconjugate of the third Musselman cubic K028. It follows that the circum-conic (C1989) with perspector X(1989) meets K274 again at the vertices of an equilateral triangle. More generally, any isoconjugation with pole on the circum-conic with perspector X(51) maps the infinite points of K003 to the vertices of an equilateral triangle. This latter circum-conic contains X(112), X(1625), X(1987), X(1989).

The asymptotes of K724 concur at X = X(14854).