platonic solid


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Related to platonic solid: Archimedean solid, tetrahedron

platonic solid

[plə‚tȧn·ik ′säl·əd]
(mathematics)
References in periodicals archive ?
The discussion of the relationship of Platonic solids and the viral capsid helps develop a discussion about viruses.
Of all the Platonic solids, icosahedra best approximate the sphere in the surface area to volume area.
Since Platonic solids are associated with non-living crystal structures, by extension, one might consider a virus as a non-living protein crystal that contains the genomic material to make more protein crystals.
First, due to its lower distortion characteristics we choose the icosahedron for our base platonic solid.
1992) and many others have observed, the spherical versions of the five platonic solids (Figure 2) represent the only ways in which the sphere can be partitioned into cells, each consisting of the same regular spherical polygon, with the same number of polygons meeting at each vertex.
The book also includes an investigation of the five Platonic Solids and other prominent polyhedra.
The author states that "A Geometric Analysis of the Platonic Solids and Other Semi-Regular Polyhedra" is for teachers, researchers and the Generally Curious.
A Geometic Analysis Of The Platonic Solids And Other Semi-Regular Polyhedra" by writer, researcher, and original thinker Kenneth MacLean provides teachers, science students, and non-specialist general readers with an informed and informative introduction to the Phi Ratio as it is commonly encountered in the world.
For example, there are six regular polytopes in four-dimensions that are the analogues of the Platonic Solids.
MetaObjects expands the default set of primitive objects available in trueSpace to include Platonic solids, truncated Archimedean solids and an extended set of Geodesic spheres.
The Platonic solids, known to the ancient Greeks, consist entirely of identical regular polygons, which are defined as having equal sides and equal angles.
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.