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Statistics and dynamical phenomena

Submitted by IMAGINARY on

A friend of mine, an expert in statistical genomics, told me the following story: At a dinner party, an attractive lady asked him, “What do you do for a living?” He replied, “I model.” As my friend is a handsome man, the lady did not question his statement and continued, “What do you model?” “Genes.” She then looked at him up and down and said, “Mh, you must be very much in demand.” “Yes, very much so, especially after I helped discover a new culprit gene for a common childhood disease.” The lady looked puzzled.

Minimizing energy

Submitted by IMAGINARY on

What is the most efficient way to fence land when you’ve only got so many metres of fence? Or, to put it differently, what is the largest area bounded by a simple closed planar curve of fixed length?
We consider the answer to this question and others like it, making note of recent results in the same spirit.

L'épitadodécaèdre pour visualiser l'espace dodécaédrique de Poincaré

Submitted by Renate Quehenberger on

Tout comme le concept d’espace dodécaédrique par Henri Poincaré, l’épitadodécaèdre permet de visualiser le principe des contre-mouvements du polyèdre opposé E+ à la place des espaces pentagonaux, dans la description
de la sphère d’homologie de Poincaré que l’on trouve dans son «Cinquième complément». Cela montre clairement les différentes symétries apparaissant au fur et à mesure, se cristallisant après chaque rotation de 36°, conformément à la manière dont, en 1904, Poincaré imagina la forme de l’Univers.

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