In geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are...

In organic chemistry, a Platonic hydrocarbon is a hydrocarbon whose structure matches one of the five Platonic solids, with carbon atoms replacing its...

they are not necessarily topologically equivalent to the sphere as Platonic solids are, and in particular the Euler relation χ = V − E + F = 2   {\displaystyle...

The Theory of Forms or Theory of Ideas, also known as Platonic idealism or Platonic realism, is a philosophical theory credited to the Classical Greek...

theoretical philosophy and practical philosophy, and was the founder of the Platonic Academy, a philosophical school in Athens where Plato taught the doctrines...

group of each solid were derived from the Platonic solids, resulting from their construction. Some sources say the Archimedean solids are synonymous...

the Greek philosopher Plato and his followers. Platonic epistemology holds that knowledge of Platonic Ideas is innate, so that learning is the development...

Johnson solid, some authors required that Johnson solids are not uniform. This means that a Johnson solid is not a Platonic solid, Archimedean solid, prism...

the regular dodecahedron with regular pentagons as faces, which is a Platonic solid. There are also three regular star dodecahedra, which are constructed...

Plato's model of existence Platonic idealism Platonic solid, any of the five convex regular polyhedra Platonic crystal, a periodic structure designed to...

meeting at each vertex. There are 5 finite convex regular polyhedra (the Platonic solids), and four regular star polyhedra (the Kepler–Poinsot polyhedra), making...

water, air, and fire. Timaeus links each of these elements to a certain Platonic solid: the element of earth would be a cube, of air an octahedron, of water...

Ἀκαδημία, romanized: Akadēmía), variously known as Plato's Academy, or the Platonic Academy, was founded in Athens by Plato circa 387 BC. The academy is regarded...

abstract object. In a narrower sense, the term might indicate the doctrine of Platonic realism, a form of mysticism [citation needed]. The central concept of...

family of prismatoids, the Platonic solids, the Archimedean solids and their duals the Catalan solids, and the Johnson solids. Prismatoids are the polyhedra...

polygon is a regular hyperbolic icosagon. The largest number of faces a Platonic solid can have is twenty faces, which make up a regular icosahedron. A dodecahedron...

intersecting edges. It is an example of many classes of polyhedra: Platonic solid, regular polyhedron, parallelohedron, zonohedron, and plesiohedron....

pentagonal faces, three meeting at each vertex. It is an example of Platonic solids, described as cosmic stellation by Plato in his dialogues, and it was...

vertices, 3e new edges, and e new hexagonal faces. Chamfers of five Platonic solids are described in detail below. Each is shown in an equilateral version...

(appetite or desire, which houses the desire for physical pleasures). The Platonic soul consists of three parts, which are located in different regions of...

This partial list of graphs contains definitions of graphs and graph families. For collected definitions of graph theory terms that do not refer to individual...

the largest face any of the five regular three-dimensional regular Platonic solid can have. A conic is determined using five points in the same way that...

The regular tetrahedron, also called a 3-simplex, is the simplest Platonic solid. It has four regular triangles as faces that are themselves at dual...

completely, the most natural packing being the cubic honeycomb. No other Platonic solid can tile space on its own, but some preliminary results are known. Tetrahedra...

Dame Philosophical Reviews. Mitta, Dimitra (1 January 2003). "Reading Platonic Myths from a Ritualistic Point of View: Gyges' Ring and the Cave Allegory"...

planets known at that time could be understood in terms of the five Platonic solids, enclosed within a sphere that represented the orbit of Saturn. This...

triangles as its faces, 30 edges, and 12 vertices. It is an example of a Platonic solid and of a deltahedron. The icosahedral graph represents the skeleton...

Neoplatonism is a version of Platonic philosophy that emerged in the 3rd century AD against the background of Hellenistic philosophy and religion. The...

theorems about them, including the classification of the Platonic solids. It was stated for Platonic solids in 1537 in an unpublished manuscript by Francesco...

polyhedron with eight faces. One special case is the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet at each...