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If ? is a planar, locally nite, vertex transitive, 1-ended graph, then there is a par-ticular`niceness' about the arrangement of the regions incident to a vertex in ?. Using this feature, it can be shown that ? can be embedded in either the Euclidean plane or the hyperbolic plane in such a way that every edge has the same length and every angle in an(More)
In 11] it is shown that the theory of almost all graphs is rst order complete. Furthermore , in 3] a collection of rst order axioms are given from which any rst order property or its negation can be deduced. Here we show that almost all Steinhaus graphs satisfy the axioms of almost all graphs and conclude that a rst order property is true for almost all(More)