In this talk we will prove that ray compactifications in the plane admit inscribed squares provided that their remaider is a piecewise linear simple triod. Also we will show visualizations of sections of Vaughan’s function implemented in python and visualized with Ipyvolume. We will discuss how this visualizations have proven to be very useful in finding squares inscribed in plane sets.

https://cuadradoinscrito.github.io/Animacionesss.html