Light Eye
01-21-2006, 10:17 AM
Dear Friends,
Interesting concepts.
http://home.earthlink.net/~zindra/cyclotext1.html
Be Well, Be Love.
David
In spite of the existence of myriad varieties of polyhedra, the first ones
that immediately come to mind and those most recognizable to geometers and
non-geometers alike, are the "Platonic solids" or regular volumetric polyhedra,
of which there are five: tetrahedron, octahedron, hexahedron, dodecahedron, and
icosahedron (Figure 1). They are interesting figures and in their own cold way
almost mystically attractive, but, apart from certain configurations of the
mineral and microbic worlds, ultimately alien to organic form. They are
mathematical models, and yet, on both manifest and symbolic levels, this is one
way we create and interpret our world: from the amalgamation of shapes that
comprise one of our most primal of languages, the language of form, of which
geometrical configurations are a major portion.
Be that as it may, as fundamental expressions of linear logic, the Platonic
solids have maintained a deadlock on the human imagination for hundreds of years
becoming, in a sense, the veritable building blocks of Western consciousness.
There is, however, a subtle twist to this picture, both literally and
figuratively, in that another family of regular volumetric polyhedra exists,
heretofore overlooked, which can be generated from the circle alone using only a
compass: the cyclocentric polyhedra.
[Non-text portions of this message have been removed]
Interesting concepts.
http://home.earthlink.net/~zindra/cyclotext1.html
Be Well, Be Love.
David
In spite of the existence of myriad varieties of polyhedra, the first ones
that immediately come to mind and those most recognizable to geometers and
non-geometers alike, are the "Platonic solids" or regular volumetric polyhedra,
of which there are five: tetrahedron, octahedron, hexahedron, dodecahedron, and
icosahedron (Figure 1). They are interesting figures and in their own cold way
almost mystically attractive, but, apart from certain configurations of the
mineral and microbic worlds, ultimately alien to organic form. They are
mathematical models, and yet, on both manifest and symbolic levels, this is one
way we create and interpret our world: from the amalgamation of shapes that
comprise one of our most primal of languages, the language of form, of which
geometrical configurations are a major portion.
Be that as it may, as fundamental expressions of linear logic, the Platonic
solids have maintained a deadlock on the human imagination for hundreds of years
becoming, in a sense, the veritable building blocks of Western consciousness.
There is, however, a subtle twist to this picture, both literally and
figuratively, in that another family of regular volumetric polyhedra exists,
heretofore overlooked, which can be generated from the circle alone using only a
compass: the cyclocentric polyhedra.
[Non-text portions of this message have been removed]