Van Aubel's theorem

Each square is connected, and the center is lined.
PR and SQ is vertical, and they are symmetry.
AB=2a, BC=2b, CD=2c, DA=2d, and they are complex numbers.

2a+2b+2c+2d=0


∴

a+b+c+d=0



You see the complex number, so A=0. Then, AP=p is z.

∴

p=a+ia=(1+i)a



You see Euler's formula.
π/2=90°

Then, you turn around squares.

SQ=A and PR=B

B=iA



iB=i^2A


∴

A+iB=0


Squares are curved.

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