Reflections in a Triangle

Choose a point on a side of an acute triangle. Draw a line antiparallel to one of the other sides to the intersection with the third; from their draw the antiparallel to the first side, etc. The lines will eventually form a hexagon inscribed into the given triangle. In one case - when starting with a feet of an altitude - the hexagon degenerates into a triangle, the orthic triangle of the given one.

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