arXiv Open Access 2015

Hypercube Unfoldings that Tile R^3 and R^2

Giovanna Diaz Joseph O'Rourke

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Abstrak

We show that the hypercube has a face-unfolding that tiles space, and that unfolding has an edge-unfolding that tiles the plane. So the hypercube is a "dimension-descending tiler." We also show that the hypercube cross unfolding made famous by Dali tiles space, but we leave open the question of whether or not it has an edge-unfolding that tiles the plane.

Topik & Kata Kunci

cs.CG

Penulis (2)

Giovanna Diaz

Joseph O'Rourke

Format Sitasi

APA MLA BibTeX

Diaz, G., O'Rourke, J. (2015). Hypercube Unfoldings that Tile R^3 and R^2. https://arxiv.org/abs/1512.02086

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Informasi Jurnal

Tahun Terbit: 2015
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓