There are five regular solids:
They are frequently called the Platonic solids although at least three of them are said to have been discovered by Pythagoras.
In addition to these 5 regular Platonic Solids, there are 13 Archimedean Solids. Together these are a part of a larger class called polyhedra. While Europe had a particular interest in polyhedra qua perspective, other cultures focussed on the mathematical properties of two dimensional regular polygons.
During the Rernaissance instruments such as the reduction compass, proportional compass and the sector were used to construct regular solids and regular polygons.