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Because of his access to IBM's computers, Mandelbrot was one of the first to use computer graphics to create and display fractal geometric images, leading to his discovery of the [[Mandelbrot set]] in 1980. He showed how visual complexity can be created from simple rules. He said that things typically considered to be "rough", a "mess", or "chaotic", such as clouds or shorelines, actually had a "degree of order".<ref name="Wolfram" /> His math and geometry-centered research career included contributions to such fields as [[statistical physics]], [[meteorology]], [[hydrology]], [[geomorphology]], [[anatomy]], [[taxonomy (biology)|taxonomy]], [[neurology]], [[linguistics]], [[information technology]], [[computer graphics]], [[economics]], [[geology]], [[medicine]], [[physical cosmology]], [[engineering]], [[chaos theory]], [[econophysics]], [[metallurgy]], and the [[social science]]s.<ref>list includes specific sciences mentioned in [[#Hudson|Hudson & Mandelbrot]], the Prelude, p.&nbsp;xvi, and p.&nbsp;26</ref>

Because of his access to IBM's computers, Mandelbrot was one of the first to use computer graphics to create and display fractal geometric images, leading to his discovery of the [[Mandelbrot set]] in 1980. He showed how visual complexity can be created from simple rules. He said that things typically considered to be "rough", a "mess", or "chaotic", such as clouds or shorelines, actually had a "degree of order".<ref name="Wolfram" /> His math and geometry-centered research career included contributions to such fields as [[statistical physics]], [[meteorology]], [[hydrology]], [[geomorphology]], [[anatomy]], [[taxonomy (biology)|taxonomy]], [[neurology]], [[linguistics]], [[information technology]], [[computer graphics]], [[economics]], [[geology]], [[medicine]], [[physical cosmology]], [[engineering]], [[chaos theory]], [[econophysics]], [[metallurgy]], and the [[social science]]s.<ref>list includes specific sciences mentioned in [[#Hudson|Hudson & Mandelbrot]], the Prelude, p.&nbsp;xvi, and p.&nbsp;26</ref>

由于曼德布罗特可以使用IBM的计算机，他是最早使用计算机图形来创建和显示分形几何图像的人之一。他于1980年发现了曼德布洛特集合，展示了如何从简单的规则图形创建出视觉复杂的图形。他认为那些通常被认为是“粗糙”，“杂乱”或“混乱”的事物，例如云层或海岸线，实际上都具有“'''<font color="#ff8000"> 有序度Degree of order </font>'''”<ref name="Wolfram" />的性质。他以数学和几何学为中心的延申研究领域包括了[[统计物理学]]，[[气象学]]，[[水文学]]，[[地貌学]]，[[解剖学]]，[[分类学]]，[[神经学]]，[[语言学]]，[[信息技术]]，[[计算机图形学]]，[[经济学]]，[[地质学]]，[[医学]]，[[物理宇宙学]]，[[工程学]]，[[混沌理论]]等领域的贡献 ，[[经济物理学]]，[[冶金学]]和[[社会科学]]。

由于曼德布罗特可以使用IBM的计算机，他是最早使用计算机图形来创建和显示分形几何图像的人之一。他于1980年发现了曼德布洛特集合，展示了如何从简单的规则图形创建出视觉复杂的图形。他认为那些通常被认为是“粗糙”，“杂乱”或“混乱”的事物，例如云层或海岸线，实际上都具有“'''<font color="#ff8000"> 有序度Degree of order </font>'''”<ref name="Wolfram" />的性质。他以数学和几何学为中心的延申研究领域包括了[[统计物理学]]，[[气象学]]，[[水文学]]，[[地貌学]]，[[解剖学]]，[[分类学]]，[[神经学]]，[[语言学]]，[[信息技术]]，[[计算机图形学]]，[[经济学]]，[[地质学]]，[[医学]]，[[物理宇宙学]]，[[工程学]]，[[混沌理论]]等领域的贡献 ，[[经济物理学]]，[[冶金学]]和[[社会科学]]。<ref>list includes specific sciences mentioned in [[#Hudson|Hudson & Mandelbrot]], the Prelude, p.&nbsp;xvi, and p.&nbsp;26</ref>