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  • 1 University of Pécs, Boszorkány u. 2, H-7624 Pécs, Hungary
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Two new periodical space-filling mosaics will be constructed. These are based on a 3D model of the 10D cube. The initial edges have the same lengths and are placed rotation symmetrically around an axis, thus the model is a specifically arranged zonotope. Each mosaic consists of this model and some derived ones of lower-dimensional parts of the 10D cube. These two tessellations complete the construction series based on similar models of 3-12D cubes except the 11D one.

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    Vörös L. Two-and three-dimensional tilings based on a model of the six-dimensional cube, KoG Scientific and Professional Journal of the Croatian Society for Geometry and Graphics, No. 10, 2006, pp. 1925, http://master.grad.hr/hdgg/kog_stranica/kog10.pdf (last visited 1 February 2015).

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    Vörös L. Two-and three-dimensional tiling on the base of higher-dimensional cube mosaics, Proceedings of the 7th International Conference on Applied Informatics, Eger, Hungary, 28 January-2 February 2007, Vol. 1, 2007, pp. 185192, http://geometria. mik.pte.hu (last visited 1 February 2015).

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    Vörös L. Space-filling mosaics and (animated) plane-tiling patterns, Symmetry, Culture and Science, Vol. 20, No. 1-4, 2009, pp. 297308, http://geometria.mik.pte.hu (last visited 1 February 2015).

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    Vörös L. News on sets of space-filling zonotopes, Aplimat, Journal of Applied Mathematics, Vol. 5, No. 1, 2012, pp. 247256.

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    Vörös L. Space-filling mosaics of 3D models of 3-13D cubes related to regular and semiregular polyhedra, Proceedings of the 4th International Scientific Conference on Geometry and Graphics moNGeometrija, Vlasina, Serbia, 20-22 June 2014, Vol. 2, 2014, pp. 22-31, http://mongeometrija.com/attachments/article/377/Contents_Vol_2.pdf, (last visited 1 February 2015).

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