Czechoslovak Mathematical Journal

, Volume 58, Issue 2, pp 359–380 | Cite as

On rainbowness of semiregular polyhedra



We introduce the rainbowness of a polyhedron as the minimum number k such that any colouring of vertices of the polyhedron using at least k colours involves a face all vertices of which have different colours. We determine the rainbowness of Platonic solids, prisms, antiprisms and ten Archimedean solids. For the remaining three Archimedean solids this parameter is estimated.


rainbowness Platonic solids prisms antiprisms Archimedean solids 


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Copyright information

© Mathematical Institute, Academy of Sciences of Czech Republic 2008

Authors and Affiliations

  1. 1.Institute of MathematicsP. J. Šafárik UniversityKošiceSlovak Republic
  2. 2.Department of MathematicsTechnical UniversityKošiceSlovak Republic

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