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Statistics and dynamical phenomena

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

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

앙리 푸앵카레(Henri Poincare)가 그의 책 “Complément” 에 사용된 오각형 공간의 역방향 운동을 정십이면체 공간을 이용해 시각화했듯이, 에피타 정십이면체(Epita-dodecahedron)는 이와 반대되는 다면체인 E+의 역방향 운동을 시각화해줍니다. 이는 푸앵카레가 1904년 예측했던 우주의 모양을 보여줍니다.

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