About: Euclidean flune   Sponge Permalink

An Entity of Type : dbkwik:resource/NFb8hEdf4aO8B5_L5xml2w==, within Data Space : dbkwik.org associated with source dataset(s)

The Euclidean flune is a flat, infinitely large four-dimensional space following the rules of four-dimensional Euclidean geometry. It can be created by taking the cartesian product of four copies of the Euclidean line. A flune can be used to bisect a peton, and polytera can have realms of symmetry through which they can be reflected. Taking multiple flunic cross sections of a polyteron can give insight into its structure, though embedding this in three dimensions can still be a challenge without taking further realmic cross sections of the flunic cross sections themselves.

AttributesValues
rdf:type
rdfs:label
  • Euclidean flune
rdfs:comment
  • The Euclidean flune is a flat, infinitely large four-dimensional space following the rules of four-dimensional Euclidean geometry. It can be created by taking the cartesian product of four copies of the Euclidean line. A flune can be used to bisect a peton, and polytera can have realms of symmetry through which they can be reflected. Taking multiple flunic cross sections of a polyteron can give insight into its structure, though embedding this in three dimensions can still be a challenge without taking further realmic cross sections of the flunic cross sections themselves.
dcterms:subject
tera
  • 1(xsd:integer)
dimensionality
  • 4(xsd:integer)
dbkwik:verse-and-d...iPageUsesTemplate
equivalent manifold
  • Euclidean flune
abstract
  • The Euclidean flune is a flat, infinitely large four-dimensional space following the rules of four-dimensional Euclidean geometry. It can be created by taking the cartesian product of four copies of the Euclidean line. A flune can be used to bisect a peton, and polytera can have realms of symmetry through which they can be reflected. Taking multiple flunic cross sections of a polyteron can give insight into its structure, though embedding this in three dimensions can still be a challenge without taking further realmic cross sections of the flunic cross sections themselves.
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