Quasitoric manifolds and Small covers over properly colored polytopes:   Immersions and Embeddings
  We construct small covers and quasitoric manifolds over $n$-dimensional simple polytopes which allow proper colorings of facets with $n$ colors. We calculate Stiefel-Whitney classes of these manifolds as obstructions to immersions and embeddings into Euclidean spaces. The largest dimension required for embedding is achieved in the case $n$ is a power of two. 
Djordje Baralic and Vladimir Grujic
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