6P-s-P1  6P-Schmidt Point


Consider a 6-Point (Hexangle) with vertices Pi (i=1,2,3,4,5,6).

Choose one of its vertices Pi.
Construct the perpendicular bisectors Lij of (Pi,Pj), where j unequal i.
In this way, Pi defines a 5-Line (Pentalateral) formed by these perpendicular bisectors.
It appears that the 5L-Schmidt Transformation (5L-s-Tf1) wrt this 5-Line of Pi is independent of the chosen Pi. This fixed point is 6P-s-P1.
This point was found by Eckart Schmidt. See Ref-34, QFG #3551.

6P s P1 Schmidt Point 01