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Follows on from previous papers by the authors, where TWONE, a method for solving global optimization problems in two dimensions was presented. Presents an improved version. If Ω is a compact connect subset of R2 looks for the minimum of a function f defined on Ω with values in R.2 TWONE method considers the restriction of f to an α‐dense curve in R2. That implies the resolution of a one dimensional problem. Gives some α‐dense curves in R2 with α as small as we want. Has biomedical and biocybernetic implications.

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