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In this paper, the wire (interconnect)-length distribution of three-dimensional (3-D) integrated circuits (ICs) is derived using Rent's rule and following the methodology used to estimate two-dimensional (2-D) (wire-length distribution). Two limiting cases of connectivity between logic gates on different device layers are examined by comparing the wire-length distribution and average and total wire-length. System performance metrics such as clock frequency, chip area, etc., are estimated using wire-length distribution, interconnect delay criteria, and simple models representing the cost or complexity for manufacturing 3-D ICs. The technology requirement for interconnects in 3-D integration is also discussed.