  In this work, we will explore some polygons that individually are capable of
filling the plane in an aperiodic way. These polygons were recently discovered
by some researchers and constitute a great discovery for Mathematics. We will
present two ways of constructing these polygons, the first of which is based on
the juxtaposition of copies of a particular kite and the second consists of
constructing, with a ruler and compass, the polygonal line formed by the sides
of each of these polygons. The constructions are made in GeoGebra with great
detail to allow reproduction.
