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Algorithmic Mathematical Art

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In the early 1990s, they were merely visualization aids in the study of mathematics. Gradually, the complexity and artistry of the images becomes an end itself. Here, i examine the various methods of algorithmic mathematical art, and indicate the states of the art and possibilities. At the end, i give a definition of Algorithmic Mathematical Art. Plots of arbitrary 3D surfaces for visual arts purposes has not been explored much. The exception is visualization of some special mathematical surfaces, especially in differential geometry. (for example: minimal surfaces at http://virtualmathmuseum.org/Surface/gallery_m.html .) As of today, it is scarcely known how surfaces look like of arbitrary equations of 3 variables. Equations with more than 3 variables can be projected or sliced to 3 dimensional space, and this is completely unexplored. In 2 dimensions we have regular polygons, such as square and pentagon and hexagon. The 3-dimensional version is called regular polyhedron. For example:

Algorithmic Mathematical Art Algorithmic Mathematical Art By Xah Lee. Date: 2004-01 . Last updated: 2025-06-11 . Here is an introduction and survey of Algorithmic Mathematical Art. In the early 1990s, they were merely visualization aids in the study of mathematics. Gradually, the complexity and artistry of the images becomes an end itself. Here, i examine the various methods of algorithmic mathematical art, and indicate the states of the art and possibilities. At the end, i give a definition of Algorithmic Mathematical Art. Geometric Surfaces Borg cube max = 5; ContourPlot3D [ Sin [x*y] + Sin

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