Orthocubic (K006)

We construct triangle

and Orthocubic for this triangle. After that we take point

then we cojugate that point isogonal and we get point

which is also on the Orthocubic. And by using GeoGebra we conclude that Othocubic is isogonal transform of itself.

Barycentric equation

Here we again sustitude

and

with

and

And again we have the same equation as that in the beginning. Orthocubic cubic is isogonal transform of itself.