The left panel contains an index of the Platonic and Archimedean solids in alphabetical order.
A paper-and-pencil geometry test (GT) about Platonic and Archimedean solids was constructed and used as the pre- and posttest instrument.
Specifically, Durer was interested in Platonic and Archimedean solids
and the golden mean and how these mathematical concepts influenced proportion and geometric ratios in art, affecting beauty and meaning.
If you relax the conditions for generating the Platonic solids and specify that faces must be regular but not necessarily identical polygons, there are 13 such polyhedra, known as Archimedean solids
. One example is the truncated icosahedron, familiar as the pattern on a soccer ball, which consists of 12 pentagons and 20 hexagons.
A less restrictive class, called the Archimedean solids
, allows the faces to have different shapes, though they still must be regular polygons.
Torquato said his work was different than previous researches conducted as it showed "the best packings, period" in the case of the centrally symmetric Platonic and Archimedean solids