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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.

The epita-dodecahedron visualizing Poincaré's dodecahedral space

Submitted by Renate Quehenberger on

Analogous to Henri Poincaré’s concept of dodecahedral space the epita_dodecahedron allows to visualize the principle of the counter-movements of the opposite polyhedra E+ instead of the pentagonal spaces in his description of the homology sphere in the fifth “Complément” : Thus it clearly shows the different evolving symmetries,- crystallizing in steps of 36 degrees, just as Poincaré anticipated the shape of the universe in 1904.

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