Cubic Tessellations of the Helicosms
Por:
Hubard I., Mixer M., Pellicer D., Weiss A.I.
Publicada:
1 oct 2015
Resumen:
Up to isomorphism, there are six fixed-point free crystallographic groups in Euclidean 3-space (Formula presented.) generated by twists (screw motions). In each case, an orientable 3-manifold is obtained as the quotient of (Formula presented.) by such a group. The cubic tessellation of (Formula presented.) induces tessellations on each such manifold. The corresponding classification for the 3-torus and the didicosm were classified as ‘equivelar toroids’ and ‘cubic tessellation of the didicosm’ in previous works. This paper concludes the classification of cubic tessellations on the remaining four orientable manifolds. © 2015, Springer Science+Business Media New York.
Filiaciones:
Hubard I.:
Instituto de Matemáticas, Área de la Investigación Científica, Circuito Exterior, Ciudad Universitaria, Mexico, D.F. 04510, Mexico
Mixer M.:
Department of Applied Mathematics, Wentworth Institute of Technology, 550 Huntington Avenue, Boston, MA 02115, United States
Pellicer D.:
UNAM, Ctr Ciencias Matemat, Morelia 58089, Michoacan, Mexico
Weiss A.I.:
Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, ON M3J 1P3, Canada
All Open Access; Green
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