Regular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which are singularities, but some shapes in nature are so complicated that they are equally complicated at the big scale and come closer and closer and they don't become any less complicated.
One of the high points of my life was when I suddenly realized that this dream I had in my late adolescence of combining pure mathematics, very pure mathematics with very hard things which had been long a nuisance to scientists and to engineers, that this combination was possible and I put together this new geometry of nature, the fractal geometry of nature.
I've been a professor of mathematics at Harvard and at Yale. At Yale for a long time. But I'm not a mathematician only. I'm a professor of physics, of economics, a long list. Each element of this list is normal. The combination of these elements is very rare at best.
I was asking questions which nobody else had asked before, because nobody else had actually looked at certain structures. Therefore, as I will tell, the advent of the computer, not as a computer but as a drawing machine, was for me a major event in my life. That's why I was motivated to participate in the birth of computer graphics, because for me computer graphics was a way of extending my hand, extending it and being able to draw things which my hand by itself, and the hands of nobody else before, would not have been able to represent.
Everybody in mathematics had given up for 100 years or 200 years the idea that you could from pictures, from looking at pictures, find new ideas. That was the case long ago in the Middle Ages, in the Renaissance, in later periods, but then mathematicians had become very abstract.
Science would be ruined if (like sports) it were to put competition above everything else, and if it were to clarify the rules of competition by withdrawing entirely into narrowly defined specialties. The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.
I conceived, developed and applied in many areas a new geometry of nature, which finds order in chaotic shapes and processes. It grew without a name until 1975, when I coined a new word to denote it, fractal geometry, from the Latin word for irregular and broken up, fractus. Today you might say that, until fractal geometry became organized, my life had followed a fractal orbit.
Советских актёров часто ставят в пример как образец духовной силы, национальной гордости и внутренней красоты. Они стали символами эпохи, носителями культуры и нравственности. Но, как известно, за кул...
Актеры — люди творческие, но кто бы мог подумать, что некоторые из них скрывают прекрасный голос. В эпоху раннего Голливуда актеров с музыкальными способностями было немало — это считалось скорее норм...
Неузнаваемая Ким Кардашьян в объективе фотографа Маркуса Клинко, 2009 год. Памела Андерсон в самой первой съёмке для журнала «Playboy», 1990. На фото голливудская актриса Dorothy Lamour и шимпанзе Джи...
Расскажем, как сложилась судьба актеров, которые начинали сниматься еще в детстве.
Остаться на вершине в Голливуде удаётся не каждому, особенно если путь начался в детстве. Одни актёры теряются из-за...
Два года назад отечественное телевидение столкнулось с беспрецедентной кадровой тектоникой — целая группа ярких и узнаваемых ведущих стремительно исчезла с экранов федеральных каналов. Эти лица долгие...
Кира Найтли на страницах журнала к выходу фильма «Пиджак», 2005. Следы динозавра, раскопанные в русле реки Палакси. Техас. США. 1952г. Самая большая женщина рядом с самым маленьким мужчиной, 1922 год....
