Opuscula Math. 34, no. 1 (2014), 123-138

Opuscula Mathematica

On the dimension of Archimedean solids

Tomáš Madaras
Pavol Široczki

Abstract. We study the dimension of graphs of the Archimedean solids. For most of these graphs we find the exact value of their dimension by finding unit-distance embeddings in the euclidean plane or by proving that such an embedding is not possible.

Keywords: Archimedean solid, unit-distance graph, dimension of a graph.

Mathematics Subject Classification: 05C10.

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Cite this article as:
Tomáš Madaras, Pavol Široczki, On the dimension of Archimedean solids, Opuscula Math. 34, no. 1 (2014), 123-138, http://dx.doi.org/10.7494/OpMath.2014.34.1.123

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