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Interdisciplinary Connections: The Art of Math

Artists and architects from different times and cultures have been fascinated by mathematical concepts and have long used them to create unique works of art. Mathematical concepts are found in Islamic mosaics, medieval rose windows, patchwork quilts, Op art, tessellations, geodesic domes geodesic dome (jē'ədĕs`ĭk, –dē`sĭk), structure that roughly approximates a hemisphere. Popular in recent years as economical, easily erected buildings, geodesic domes are geometrically determined from a model and may , and other forms of art. For all practical purposes, the artistic and mathematical concepts in such works are virtually inseparable in·sep·a·ra·ble  
adj.
1. Impossible to separate or part: inseparable pieces of rock.

2. Very closely associated; constant: inseparable companions.
. Increased understandings of art and math will complement both disciplines so it is beneficial to learn and use the vocabulary for both subjects.

The Internet offers significant websites for exploring the natural connections between art and mathematics:

Geometry

* Geometry though Art, found at mathforum.com/~sarah/shapiro, is the work of Norman Shapiro, a teacher and artist known for his workshops on teaching art and geometry for young children. This incredibly helpful site includes lesson ideas and plans for unique hands-on art/geometry activities.

Tessellations

* Historicaland Geographical Connections for Tessellations and Tilings provides a good starting point Noun 1. starting point - earliest limiting point
terminus a quo

commencement, get-go, offset, outset, showtime, starting time, beginning, start, kickoff, first - the time at which something is supposed to begin; "they got an early start"; "she knew from the
 for an investigation of tessellations. Available at www.mathforum. org/sum95/suzanne/historytess.html, the site includes links to Egyptian, Persian, Byzantine, Arabian, Indian, Chinese, Japanese, and medieval tessellations.

* The Official M. C. Escher Maurits Cornelis Escher (June 17 1898 – March 27 1972), usually referred to as M. C. Escher, was a Dutch graphic artist. He is known for his often mathematically inspired woodcuts, lithographs and mezzotints.  website, www.mcescher.com, honors the work of the Dutch graphic artist (1989-1972) who became the granddaddy of tessellations. Special features include a free downloadable interactive puzzle and a virtual flight through three of Escher's most famous works.

* The World of Escher, available at www.worldofescher.com, offers a gallery, store, library, newsletter, and tessellation In surface modeling and solid modeling, the method used to represent 3D objects as a collection of triangles or other polygons. All surfaces, both curved and straight, are turned into triangles either at the time they are first created or in real time when they are rendered.  contests.

* The Mathematical Art of M. C. Escher, found at www.mathacademy.com/pr/minitext/escher/ #intro, provides another useful website for the study of Escher.

* Tessellations and Mathematics: A Logical Connection, available at www.art.unt.edu/ntieva/news/vol_6/issue2/95sprp03.htm, is a succinct suc·cinct  
adj. suc·cinct·er, suc·cinct·est
1. Characterized by clear, precise expression in few words; concise and terse: a succinct reply; a succinct style.

2.
 elementary tessellation lesson from the North Texas Institute for Educators on the Visual Arts visual arts nplartes fpl plásticas

visual arts nplarts mpl plastiques

visual arts npl
.

The Geodesic Dome

* The Buckminster Fuller Institute, available at www.bfi.org, is inspired by the principles articulated by inventor/philosopher extraordinaire ex·tra·or·di·naire  
adj.
Extraordinary: a jazz singer extraordinaire.



[French, from Old French, from Latin extra
 Buckminster Fuller. One of Fuller's many inventions was the geodesic dome, a three-dimensional structure based on tetrahedrons.
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Article Details
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Author:Walkup, Nancy
Publication:School Arts
Article Type:Brief Article
Date:Dec 1, 2001
Words:355
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