Pentahedral Honeycomb with Skew Hexagonal Faces

Proceedings of the 3rd International Multi-Conference on Engineering and Technologies Innovation (IMETI 2010). Vol.1 2010
Edgars Bervalds, Modris Dobelis

This paper proposes a generally new type of macro and megaspace filling honeycombs having quasiregular pentahedral cells with skew hexagonal faces. An existence of spatial cells named pentahedra is demonstrated by topological transformations of hexagonal prismatic honeycomb and is based on a recently discovered Phi relationship within a regular hexagonal tessellation. A geometric symmetry of this honeycomb is studied, filling the space with no gaps or overlaps. Finally it is pointed out that abstract or skeletal analogues of pentahedral honeycomb have effective practical uses by synthesis of artificial man-made macromedium, especially the like of orbital large scale structural systems.

Atslēgas vārdi
Topological Transformations, Skew Faces, Pentahedral Honeycomb

Bervalds, E., Dobelis, M. Pentahedral Honeycomb with Skew Hexagonal Faces. No: Proceedings of the 3rd International Multi-Conference on Engineering and Technologies Innovation (IMETI 2010). Vol.1, Amerikas savienotās valstis, Orlando, 29. Jūn-2. Jūl., 2010. Orlando: Local Organizing and executive committee of the 3rd International Multi-Conference on Engineering and Technologies Innovation (IMETI 2010), 2010, 1.-4.lpp. ISBN 978-1-936338-02-3.

Publikācijas valoda
English (en)