论数的简单性
On the simplicity of numbers
摘要：
最近对反应堆antinu_{e}消失的测量及其用DAYA BAY \rightarrow {theta}_13 =的三光中微子混合角{theta}_13的解释（8.83 + 0.81 - 0.88）\circ和RENO \rightarrow {θ}_{13} =（9.36 + 0.88 - 0.96）\circ合作，引起了这篇论文，在假设的替换{θ}_13 \rightarrow \vartheta_9 = 9 \circ。后者的角度（\vartheta_9 = 9 \circ）是有关有趣的代数性质，其周期性的职能，这反过来又有其起源的离散对称群S5 = Z2 \times A5和A5，点群与经常d = 3“柏拉图机构”：十二面体和二十面体。这些离散的群如何与质量的动力学对称性和轻中微子味的混合有关还没有定论。
英文摘要：
The recent measurements of reactor antinu_{e} disappearance and its interpretation in terms of the three light neutrino mixing angle {theta}_13 by the DAYA BAY \rightarrow {theta}_13 = (8.83 + 0.81 - 0.88) \circ and RENO \rightarrow {theta}_{13} = (9.36 + 0.88 - 0.96) \circ collaborations, gave rise to this treatise, upon the hypothetical substitution {theta}_13 \rightarrow \vartheta_9 = 9 \circ. The latter angle (\vartheta_9 = 9\circ) is related to interesting algebraic properties of its periodic functions, which in turn have their origin in the discrete symmetry groups S5 = Z2 \times A5 and A5, the point groups associated with the regular d = 3 'Platonic bodies' : dodecahedron and icosahedron. How these discrete groups may be related to dynamical symmetries of mass and mixing of light neutrino flavors is left open.
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