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  • 8/4/2004

Danilo Blanusa

(December 7, 1903- August 8, 1987)

Danilo Blanuša was a Croatian mathematician, physicist, engineer and a professor at the University of Zagreb.
Blanuša was born in Osijek and attended elementary school in Vienna and Steyer in Austria and gymnasium in Osijek and Zagreb. He studied engineering in both Zagreb and Vienna and also mathematics and physics. His career started in Zagreb where he started to work and lecture. Blanuša received the Ruđer Bošković prize in 1960.


In mathematics, he discovered the only seconds solution of thefourcolorproblem-four color theorem. In mathematical terms, the solution is in the form of the graph icone must have the characteristic that from every node there are three branches coming out whom it is impossible to colour in three different colours so that all three colours would come out from one point. This graph was published in 1946. The English term "snark" meaning - mysterious, imaginary, is mathematical slang for a solution since these graphs are very difficult to discover. This discovery made by Blanuša has triggered a whole new area of the graph theory, and made him one of the most famous mathematicians coming from Zagreb.
Blanuša's most important works were related to isometric immersions of two-dimensional Lobachevsky plane into six-dimensional Euclid ean space and generalizations, in the theory of the special functions (Bassel function), in diferential geometry, in the graph theory. His result are included in the Japanese mathematical encyclopediaSugaku jiten in Tokyo, (1962) published byIwanami shoten.


His works were mostly related to the theory of relativity. He discovereda mistake in relations for absolute heat Q and temperature T in relativistic phenomenological thermodynamics, published by Max Planck inAnnalender Physik in 1908.

Q0 and T0 are the corresponding classical values, and a=(1-v2/c2)1/2        Intherelation     --->   Q=Q0a, T=T0a        realyshouldbe     --->  Q=Q0/a, T=T0/a

This correction was published inGlasnik, the journal relating to mathematics, physics and astronomy in 1947 in article "Sur les paradoxes de la notion d'énergie". It was rediscovered in 1960 and the correction is still wrongly attributed to H. Ott in the mainstream scientific literature.

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