Roots of any Polynomial with Complex Integer Coefficients using Replacement Sequences, Ruler and Compass

Details Roots of any Polynomial with Complex Integer Coefficients using Replacement Sequences, Ruler and Compass Roots of any Polynomial with Complex Integer Coefficients using Replacement Sequences, Ruler and Compass

2000-01-29

arxiv.org/abs/math/0001174v1

Mathematics

General Mathematics

10 pages, no figures

Scientific paper

The roots of any polynomial of degree m with complex integer coefficients can be computed by manipulation of sequences made from distinct symbols and counting the different symbols in the sequences. This method requires only primitive operations like replacement of sequences and counting of symbols. No calculations using advanced operations like multiplication, division, logarithms etc. are needed. The method can be implemented as a geometric construction using only a ruler and a compass.

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