Replacing the tangent discs of the Niemytzki plane by triangles with bounded angles yields a non-homeomorphic topology, via a new comparison criterion for basic families of tangent shapes.
Engelking, General topology, translated from the Polish by the author, second edition, Sigma Ser
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On some modifications of the Niemytzki plane
Replacing the tangent discs of the Niemytzki plane by triangles with bounded angles yields a non-homeomorphic topology, via a new comparison criterion for basic families of tangent shapes.