In the second episode, a 2-D lizard from an Escher drawing escapes and tries to explain his fellow friends the different 3-D shapes, precisely the five Platonic Solids
via coloring the faces and the stereographic projection.
Haleh Redjaian's hand-woven carpet is based on the construction of Platonic solids
, and the cube in Omar Fakhoury's painting is part of a well-known public monument in Beirut, from which he has erased the identity of the controversial leader it commemorates, and the socio-political narrative associated with it, to suggest a different reading of a familiar landmark.
The platonic solids
make for a handy ornament, or stash for paper clips and tacks.
Rather than a person who thinks as modern scientists do, we find Kepler continuing to try to fit his elliptical orbits into a model motivated by the five Platonic solids
as explanation for the planetary spacing (p.
The first class to be discovered, called the Platonic solids
, have identical faces that are all regular polygons, or shapes with equal sides and angles.
A few among them have been mathematicians who have obsessed about Platonic solids
, a class of geometric forms that are highly regular and are commonly found in nature.
The Platonic solids
group includes convex regular polyhedrons that have similar regular polygons on all faces and each vertex is incident with an equal number of edges or faces.
Working with consulting curator Srdjan Jovanovic Weiss, the ninety-year-old architect has designed inhabitable sculptures for the exhibition that build on her long-standing interest in Platonic solids
I am going to risk pushing this analogy to an extreme and say that it was as if Wedel conceptually played around with philosophical thinking of the ancient Greeks and made clay versions of the forms of the Platonic solids
that they believed to be the elemental shapes that comprised the stuff of the world (especially those highly complex shapes like multi-faceted dodecahedrons and icosahedrons) that he then threw together willy-nilly to create the ceramic objects that become his gems.
After reviewing the classical treatments of Golden Mean, Fibonacci numbers, and Platonic solids
, he covers the mathematics of harmony and its application in computer science.
One can devise another application: assign different letters to the links on the Platonic solids
, such that each node has a word consisting of the letters of its incoming links.
A Geometric Analysis of the Platonic Solids
and Other Semi-Regular Polyhedra