Opuscula Math. 34, no. 1 (2014), 123-138
http://dx.doi.org/10.7494/OpMath.2014.34.1.123
Opuscula Mathematica
On the dimension of Archimedean solids
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.
- Tomáš Madaras
- Institute of Mathematics, Faculty of Sciences, University of P. J. Šafárik, Jesenná 5, 041 54 Košice, Slovak Republic
- Pavol Široczki
- Institute of Mathematics, Faculty of Sciences, University of P. J. Šafárik, Jesenná 5, 041 54 Košice, Slovak Republic
- Received: 2013-03-15.
- Revised: 2013-09-09.
- Accepted: 2013-09-09.
