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Hexagonal Lattice Coordinates

Bernard H. Duane

Nuclear Science and Engineering / Volume 33 / Number 3 / September 1968 / Pages 336-339

Technical Paper / dx.doi.org/10.13182/NSE68-A19242

The Schwarz-Christoffel conformal mapping of the interior of a regular hexagon upon the interior of a circle has been integrated analytically, as a simple irrational function of the Weierstrass equianharmonic elliptic function. The hexagonal coordinate system thus generated has broad applicability to the nuclear, thermodynamic, and stress analyses of hexagonal lattice reactors.