幾何学コロキウム Numerical parametrization of tetrahedral chains

開催日時
2015年   6月 15日 16時 30分 ~ 2015年   6月 15日 17時 30分
場所
理学部3号館3-204
講演者
Stanislaw Janeczko (Warsaw University of Technology, Poland)
 

講演タイトルが前回掲載されていたものから変更されました。(2015/6/11)

Tetrahedral chains consisting of face-sharing regular tetrahedra in Euclidean three space are investigated. An explicit formula for positions of all vertices and a complete description of the geometric structure with optimal folding of tetrahedral chains are obtained. A parametrization of the chains by sequences of ordered reflections in barycentric coordinates is constructed and periodicity in their combinatorial structure is found. Periodicity along a chain is based on the structure of sequences of admissible triplets of integers and their cycling properties. The corresponding numerical invariants and an indexing role of a binary tetrahedral group is studied.

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