ISSN:
1615-7168
,
1615-7168
Content:
An equifacetal simplex, in which all facets are congruent, has a unique center. The center conjecture states that a simplex that has a unique center must be equifacetal. A strong version of the conjecture is proved in dimensions at most six by showing that there is an explicit list of centers, defined for all simplices, whose coinciding implies the simplex is equifacetal. It remains an open problem whether the conjecture is true in dimensions greater than six.
Content:
Peer Reviewed
In:
Advances in Geometry, : de Gruyter, 2009, 9,2009,4, Seiten 563-576, 1615-7168
Language:
Undetermined
DOI:
10.1515/ADVGEOM.2009.027
URN:
urn:nbn:de:kobv:11-100133630
URL:
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