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/aɪkoʊsɪtɛtɹəˈkoʊɹɔn/ · noun
(mathematics) A four-dimensional object with no regular three-dimensional analogue, constructed out of twenty-four octahedra..
There are six convex regular 4-polytopes; five of these are the higher dimensional analogs of the Platonic solids, and one additional figure, the icositetrachoron, has no three-dimensional equivalent.
The icositetrachoron (hyperdiamond, octaplex or 24-cell) is the most unique polychoron, because it has no direct analog in any other dimension.
Shape of Nature comes from a unique, optimally symmetric geometric object: the sixth platonic element, the icositetrachoron (or 24-cell regular polytope), crystallized as a hyperdiamond network, mathematically and physically made of loops and connections.
Use icositetrachoron when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Icositetrachoron means (mathematics) A four-dimensional object with no regular three-dimensional analogue, constructed out of twenty-four octahedra..
Common synonyms include 24-cell.
The opposite depends on the specific sense.
There are six convex regular 4-polytopes; five of these are the higher dimensional analogs of the Platonic solids, and one additional figure, the icositetrachoron, has no three-dimensional equivalent.
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