Note: Zoom in to any point of the circumference to verify that the full squares defined by the blue line more than completely cover the circumference of the red circle. For any radius over 1,400, the area calculated by new Pi (4/√φ) exceeds the area of the blue squares and the area of the circle itself. It thus cannot be a valid value for Pi. See
https://www.goldennumber.net/pi for more.
