Opuscula Math. 34, no. 1 (2014), 123-138
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.
- Received: 2013-03-15.
- Revised: 2013-09-09.
- Accepted: 2013-09-09.