Adesso esiste una geometria in grado di descrivere montagne e nuvole Come sempre nella scienza, questa nuova geometria ha radici profondissime e lunghissime.- Benoît Mandelbrot ✦ Customize This Card SAVE: .PNG .JPG .SVG COPY DESIGN: ✦ EXTREME MIX THEME PATTERN FRAME CUSTOM BG: UPLOAD IMAGE ✕ CLEAR DIM: FONT: Playfair Display Cinzel Royal Cormorant EB Garamond Lora Editorial Merriweather Baskerville Roboto Slab Montserrat Raleway Oswald Bold Lato Clean Great Vibes Dancing Script Pacifico Caveat Brush Amatic SC RATIO: Auto Fit 4:5 Portrait 1:1 Square 5:4 Classic 16:9 Wide 9:16 Story 3:4 Poster RES: 1x Standard 2x HD (1080p) 3x Ultra (4K) 4x Extreme Print BG PAT TEXT FRAME Adesso esiste una geometria in grado di descrivere montagne e nuvole Come sempre nella scienza, questa nuova geometria ha radici profondissime e lunghissime.- Benoît Mandelbrot
This difficulty — am I a mathematician because my degree says so? Am I an engineer because I'm interested in things? Am I a social scientist because I don't think there's a difference between the turbulence in stock markets in terms of unpredictability? At IBM I wouldn't have to worry about that. The names of departments were totally strange and totally meaningless, so it looked like a promising situation for a short time. As it turned out I was going to spend thirty-five years and twelve days at IBM, almost from the beginning to the day when IBM decided that successful research was no longer going to be carried on in that division.- Benoît Mandelbrot ✦ Customize This Card SAVE: .PNG .JPG .SVG COPY DESIGN: ✦ EXTREME MIX THEME PATTERN FRAME CUSTOM BG: UPLOAD IMAGE ✕ CLEAR DIM: FONT: Playfair Display Cinzel Royal Cormorant EB Garamond Lora Editorial Merriweather Baskerville Roboto Slab Montserrat Raleway Oswald Bold Lato Clean Great Vibes Dancing Script Pacifico Caveat Brush Amatic SC RATIO: Auto Fit 4:5 Portrait 1:1 Square 5:4 Classic 16:9 Wide 9:16 Story 3:4 Poster RES: 1x Standard 2x HD (1080p) 3x Ultra (4K) 4x Extreme Print BG PAT TEXT FRAME This difficulty — am I a mathematician because my degree says so? Am I an engineer because I'm interested in things? Am I a social scientist because I don't think there's a difference between the turbulence in stock markets in terms of unpredictability? At IBM I wouldn't have to worry about that. The names of departments were totally strange and totally meaningless, so it looked like a promising situation for a short time. As it turned out I was going to spend thirty-five years and twelve days at IBM, almost from the beginning to the day when IBM decided that successful research was no longer going to be carried on in that division.- Benoît Mandelbrot
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.- Benoît Mandelbrot ✦ Customize This Card SAVE: .PNG .JPG .SVG COPY DESIGN: ✦ EXTREME MIX THEME PATTERN FRAME CUSTOM BG: UPLOAD IMAGE ✕ CLEAR DIM: FONT: Playfair Display Cinzel Royal Cormorant EB Garamond Lora Editorial Merriweather Baskerville Roboto Slab Montserrat Raleway Oswald Bold Lato Clean Great Vibes Dancing Script Pacifico Caveat Brush Amatic SC RATIO: Auto Fit 4:5 Portrait 1:1 Square 5:4 Classic 16:9 Wide 9:16 Story 3:4 Poster RES: 1x Standard 2x HD (1080p) 3x Ultra (4K) 4x Extreme Print BG PAT TEXT FRAME 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.- Benoît Mandelbrot
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.- Benoît Mandelbrot ✦ Customize This Card SAVE: .PNG .JPG .SVG COPY DESIGN: ✦ EXTREME MIX THEME PATTERN FRAME CUSTOM BG: UPLOAD IMAGE ✕ CLEAR DIM: FONT: Playfair Display Cinzel Royal Cormorant EB Garamond Lora Editorial Merriweather Baskerville Roboto Slab Montserrat Raleway Oswald Bold Lato Clean Great Vibes Dancing Script Pacifico Caveat Brush Amatic SC RATIO: Auto Fit 4:5 Portrait 1:1 Square 5:4 Classic 16:9 Wide 9:16 Story 3:4 Poster RES: 1x Standard 2x HD (1080p) 3x Ultra (4K) 4x Extreme Print BG PAT TEXT FRAME 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.- Benoît Mandelbrot
La acuñé yo, porque me preocupaba que la misma palabra posea múltiples significados en matemáticas. Distribución, por ejemplo. Se me asocia a menudo con el caos, otro término sobrecargado porque no tiene nada que ver con el descrito en la Biblia. Quería recoger la impresión de una piedra que golpeas, y se fractura. De ese fractus latín surgió el fractal. La terminación se debió a que quería que funcionara en inglés y francés.- Benoît Mandelbrot ✦ Customize This Card SAVE: .PNG .JPG .SVG COPY DESIGN: ✦ EXTREME MIX THEME PATTERN FRAME CUSTOM BG: UPLOAD IMAGE ✕ CLEAR DIM: FONT: Playfair Display Cinzel Royal Cormorant EB Garamond Lora Editorial Merriweather Baskerville Roboto Slab Montserrat Raleway Oswald Bold Lato Clean Great Vibes Dancing Script Pacifico Caveat Brush Amatic SC RATIO: Auto Fit 4:5 Portrait 1:1 Square 5:4 Classic 16:9 Wide 9:16 Story 3:4 Poster RES: 1x Standard 2x HD (1080p) 3x Ultra (4K) 4x Extreme Print BG PAT TEXT FRAME La acuñé yo, porque me preocupaba que la misma palabra posea múltiples significados en matemáticas. Distribución, por ejemplo. Se me asocia a menudo con el caos, otro término sobrecargado porque no tiene nada que ver con el descrito en la Biblia. Quería recoger la impresión de una piedra que golpeas, y se fractura. De ese fractus latín surgió el fractal. La terminación se debió a que quería que funcionara en inglés y francés.- Benoît Mandelbrot
Britain for a long time had a reflection of its class structure which meant that people like, well, J. B. S. Haldane who was the nephew of Lord Haldane, or Bertrand Russell who became Lord Russell, could do what they pleased, and it's interesting to think that Bertrand Russell never had a job, he never had to compete for a job. Haldane had four or five different jobs in his life, totally different. He probably could have — if he had been bothered — have just abandoned his job and went on to live otherwise. … But this no longer exists. IBM no longer exists. I don't see a place now where somebody like myself who combined, let's say, unusual gifts and unusual tastes and, who everybody said has promise, was certainly a misfit of the worst kind could find a position at this point and I think that a tragedy.- Benoît Mandelbrot ✦ Customize This Card SAVE: .PNG .JPG .SVG COPY DESIGN: ✦ EXTREME MIX THEME PATTERN FRAME CUSTOM BG: UPLOAD IMAGE ✕ CLEAR DIM: FONT: Playfair Display Cinzel Royal Cormorant EB Garamond Lora Editorial Merriweather Baskerville Roboto Slab Montserrat Raleway Oswald Bold Lato Clean Great Vibes Dancing Script Pacifico Caveat Brush Amatic SC RATIO: Auto Fit 4:5 Portrait 1:1 Square 5:4 Classic 16:9 Wide 9:16 Story 3:4 Poster RES: 1x Standard 2x HD (1080p) 3x Ultra (4K) 4x Extreme Print BG PAT TEXT FRAME Britain for a long time had a reflection of its class structure which meant that people like, well, J. B. S. Haldane who was the nephew of Lord Haldane, or Bertrand Russell who became Lord Russell, could do what they pleased, and it's interesting to think that Bertrand Russell never had a job, he never had to compete for a job. Haldane had four or five different jobs in his life, totally different. He probably could have — if he had been bothered — have just abandoned his job and went on to live otherwise. … But this no longer exists. IBM no longer exists. I don't see a place now where somebody like myself who combined, let's say, unusual gifts and unusual tastes and, who everybody said has promise, was certainly a misfit of the worst kind could find a position at this point and I think that a tragedy.- Benoît Mandelbrot
Britain for a long time had a reflection of its class structure which meant that people like, well, J. B. S. Haldane who was the nephew of Lord Haldane, or Bertrand Russell who became Lord Russell, could do what they pleased, and it's interesting to think that Bertrand Russell never had a job, he never had to compete for a job. Haldane had four or five different jobs in his life, totally different. He probably could have — if he had been bothered — have just abandoned his job and went on to live otherwise. … But this no longer exists. IBM no longer exists. I don't see a place now where somebody like myself who combined, let's say, unusual gifts and unusual tastes and, who everybody said has promise, was certainly a misfit of the worst kind could find a position at this point and I think that a tragedy.- Benoît Mandelbrot ✦ Customize This Card SAVE: .PNG .JPG .SVG COPY DESIGN: ✦ EXTREME MIX THEME PATTERN FRAME CUSTOM BG: UPLOAD IMAGE ✕ CLEAR DIM: FONT: Playfair Display Cinzel Royal Cormorant EB Garamond Lora Editorial Merriweather Baskerville Roboto Slab Montserrat Raleway Oswald Bold Lato Clean Great Vibes Dancing Script Pacifico Caveat Brush Amatic SC RATIO: Auto Fit 4:5 Portrait 1:1 Square 5:4 Classic 16:9 Wide 9:16 Story 3:4 Poster RES: 1x Standard 2x HD (1080p) 3x Ultra (4K) 4x Extreme Print BG PAT TEXT FRAME Britain for a long time had a reflection of its class structure which meant that people like, well, J. B. S. Haldane who was the nephew of Lord Haldane, or Bertrand Russell who became Lord Russell, could do what they pleased, and it's interesting to think that Bertrand Russell never had a job, he never had to compete for a job. Haldane had four or five different jobs in his life, totally different. He probably could have — if he had been bothered — have just abandoned his job and went on to live otherwise. … But this no longer exists. IBM no longer exists. I don't see a place now where somebody like myself who combined, let's say, unusual gifts and unusual tastes and, who everybody said has promise, was certainly a misfit of the worst kind could find a position at this point and I think that a tragedy.- Benoît Mandelbrot
Smooth shapes are very rare in the wild but extremely important in the ivory tower and the factory, and besides were my love when I was a young man. Cauliflowers exemplify a second area of great simplicity, that of shapes which appear more or less the same as you look at them up close or from far away, as you zoom in and zoom out. Before my work, those shapes had no use, hence no word was needed to denote them. My work created such a need and I coined ""fractals.- Benoît Mandelbrot ✦ Customize This Card SAVE: .PNG .JPG .SVG COPY DESIGN: ✦ EXTREME MIX THEME PATTERN FRAME CUSTOM BG: UPLOAD IMAGE ✕ CLEAR DIM: FONT: Playfair Display Cinzel Royal Cormorant EB Garamond Lora Editorial Merriweather Baskerville Roboto Slab Montserrat Raleway Oswald Bold Lato Clean Great Vibes Dancing Script Pacifico Caveat Brush Amatic SC RATIO: Auto Fit 4:5 Portrait 1:1 Square 5:4 Classic 16:9 Wide 9:16 Story 3:4 Poster RES: 1x Standard 2x HD (1080p) 3x Ultra (4K) 4x Extreme Print BG PAT TEXT FRAME Smooth shapes are very rare in the wild but extremely important in the ivory tower and the factory, and besides were my love when I was a young man. Cauliflowers exemplify a second area of great simplicity, that of shapes which appear more or less the same as you look at them up close or from far away, as you zoom in and zoom out. Before my work, those shapes had no use, hence no word was needed to denote them. My work created such a need and I coined ""fractals.- Benoît Mandelbrot
Smooth shapes are very rare in the wild but extremely important in the ivory tower and the factory, and besides were my love when I was a young man. Cauliflowers exemplify a second area of great simplicity, that of shapes which appear more or less the same as you look at them up close or from far away, as you zoom in and zoom out. Before my work, those shapes had no use, hence no word was needed to denote them. My work created such a need and I coined ""fractals.- Benoît Mandelbrot ✦ Customize This Card SAVE: .PNG .JPG .SVG COPY DESIGN: ✦ EXTREME MIX THEME PATTERN FRAME CUSTOM BG: UPLOAD IMAGE ✕ CLEAR DIM: FONT: Playfair Display Cinzel Royal Cormorant EB Garamond Lora Editorial Merriweather Baskerville Roboto Slab Montserrat Raleway Oswald Bold Lato Clean Great Vibes Dancing Script Pacifico Caveat Brush Amatic SC RATIO: Auto Fit 4:5 Portrait 1:1 Square 5:4 Classic 16:9 Wide 9:16 Story 3:4 Poster RES: 1x Standard 2x HD (1080p) 3x Ultra (4K) 4x Extreme Print BG PAT TEXT FRAME Smooth shapes are very rare in the wild but extremely important in the ivory tower and the factory, and besides were my love when I was a young man. Cauliflowers exemplify a second area of great simplicity, that of shapes which appear more or less the same as you look at them up close or from far away, as you zoom in and zoom out. Before my work, those shapes had no use, hence no word was needed to denote them. My work created such a need and I coined ""fractals.- Benoît Mandelbrot
I claim that many patterns of Nature are so irregular and fragmented, that, compared with Euclid — a term used in this work to denote all of standard geometry — Nature exhibits not simply a higher degree but an altogether different level of complexity … The existence of these patterns challenges us to study these forms that Euclid leaves aside as being ""formless,"" to investigate the morphology of the ""amorphous.- Benoît Mandelbrot ✦ Customize This Card SAVE: .PNG .JPG .SVG COPY DESIGN: ✦ EXTREME MIX THEME PATTERN FRAME CUSTOM BG: UPLOAD IMAGE ✕ CLEAR DIM: FONT: Playfair Display Cinzel Royal Cormorant EB Garamond Lora Editorial Merriweather Baskerville Roboto Slab Montserrat Raleway Oswald Bold Lato Clean Great Vibes Dancing Script Pacifico Caveat Brush Amatic SC RATIO: Auto Fit 4:5 Portrait 1:1 Square 5:4 Classic 16:9 Wide 9:16 Story 3:4 Poster RES: 1x Standard 2x HD (1080p) 3x Ultra (4K) 4x Extreme Print BG PAT TEXT FRAME I claim that many patterns of Nature are so irregular and fragmented, that, compared with Euclid — a term used in this work to denote all of standard geometry — Nature exhibits not simply a higher degree but an altogether different level of complexity … The existence of these patterns challenges us to study these forms that Euclid leaves aside as being ""formless,"" to investigate the morphology of the ""amorphous.- Benoît Mandelbrot