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Focuses on research performed on wave singularities in the 1830s. Determination of George Biddell Airy that rainbows are singularities of infinite light softened by wave physics; Discovery of William Whewell that the oceans consist of rotating tidal systems revolving around a still point; William Rowan Hamilton's discovery of diabolical points in light waves during polarization.

Profiles biologist William Donald Hamilton. Founding of the theory of inclusive fitness or 'kin selection'; Contributions in the improvement of the concept of social behavior; Works; Employment history; Major contribution to the evolutionary theory; Death.

Cites the creation of quaternions by William Rowan Hamilton in Ireland. Family background of Hamilton; Educational attainment; Career history.