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We consider arbitrary dense wireless networks, in which n nodes are placed in an arbitrary (deterministic) manner on a square region of unit area and communicate with each other over Gaussian fading channels. We provide inner and outer bounds for the n × n-dimensional unicast and the n × 2n-dimensional multicast capacity regions of such a wireless network. These inner and outer bounds differ only by a factor O(log(n)), yielding a fairly tight scaling characterization of the entire regions. The communication schemes achieving the inner bounds use interference alignment as a central technique and are, at least conceptually, surprisingly simple.