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Additional recommended knowledge
It is clear that 1 / 3 < Q < 1 from the definition. The superior bound follows if we assume that the square roots can not be negative; R. Foot remarked that 1 / 3Q can be interpreted as the cosine squared of the angle between the vector and (1,1,1).
Not only is this result odd in that three apparently random numbers should give a simple fraction, but also that Q is exactly halfway between the two extremes of 1/3 and 1.
This result has never been explained or understood.
Phys. Rev. D 28, 252–254 (1983)
Physics Letters B, Volume 120, Issues 1-3 , 6 January 1983, Pages 161-165
The Strange Formula of Dr Koide - A review of the history of the Koide Formula
|This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Koide_formula". A list of authors is available in Wikipedia.|