Geometry as Sculpture and Art

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Geometry in art

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To some it may seem counter-intuitive that geometry might be used as the basis for art. But geometry has its own beauty in the way that it shows us relationships between points, lines and surfaces. So why not make art from it?

Websites to explore 

Many forms of geometry in art

The World of Escher
The web site to explore the great M.C. Escher artworks. Each image has commentary and a zoom mode.
Sculptures by Carlo H. Séquin
Includes photos of knots and tangles, mathematical models of surfaces, and stereolithography models.
Geometric Sculpture of George W. Hart
The geometric sculpture of George W. Hart displays the beauty of mathematical forms in various media.
Mathematics and Art Project
A collaborative project that brings together mathematicians from Hewlett-Packard's Basic Research Institute (BRIMS) with artists, attempting to create a synthesis of their ideas. Includes a gallery, events calendar, and discussion articles.
Symbolic Sculpture and Mathematics
Photos of sculptures by John Robinson, and description of the mathematics behind them by Ronnie Brown.
Tips and Tricks to Gothic Geometry
Full explanatory diagrams for constructing your own rose window, ogee arch, and trifoil tracery.
Geometry Gallery
Spatial designs by Vedder Wright.
Synergetic Geometry
Richard Hawkins' digital archive.
Islamic and Geometric Art
A personal journey through aspects of geometric art with particular reference to Islamic design. The site includes full descriptions and methods for building often complex structures.
GeomeTricks
Explore complex geometric structures based upon the 'basic joint'; an interconnectable joint composed of four intersecting sets of three triangular prisms. Includes assembly instructions, sculpture photographs and interactive virtual 3D models.
Ken Snelson
The art and tensegrity sculptures of Ken Snelson.
Polyhedra and other Interesting Structures
Home made polyhedra and other constructions with interesting structural properties, specifically tension and rigidity.
Stix 'n Strings Mathematical Sculpture
Mathematical balance between the forces of compression and tension expressed as sculpture [site needs Java].
Stewart Dickson's Art Page
Includes image galleries of 3-D images, a paper on tactile geometry, resume, virtual reality project and diversions.
Art Geometry and Abstract Culture
Computer Graphics, Art, Math, Geometry, and Abstract Sculpture are closely related. These activities are trying to transcend the boundaries between the fields. With images of models and sculptures.
Religious Beliefs Made Visual: Geometry and Islam
A lesson plan. Constructs a geometric motif from Islamic art, and gives its cultural context.
Tom Lechner's Sculptures
Polyhedral sculptures for sale. Also includes his memoirs of making polyhedral models, math references, and his art school thesis.
Un-disassemble-able Object by Jack Snoeyink
A sculpture representing research results on the number of hands that a robot would need to assemble collections of simple geometric objects.
Math Art Project 1999
Collaborative project between Maths and Art departments of East Carolina University. Gives their approach to fractals, tessellation, and topology, with some links.
Math Art Gallery
Knots, surfaces and fractals.
Triple Rotation Curves (3R-curves)
Generalization of 2R-curves (hypotrochiods and epitrochoids). Create line-art images by setting variables for a hypothetical planet, moon and satellite.
Super Shapes in 3D
Gives explanation of the superformula used to create various images, which is based on equations by Johan Gielis. Page includes galleries and shareware software downloads.

The work of Escher 

M.C. Escher (Drawing Hands) Art Poster Print - 22" X 26"

Amazon Price: $7.30 (as of 11/12/2009) Buy Now

The Magic Mirror of M.C. Escher [25th Anniversary Edition]

Amazon Price: $10.19 (as of 11/12/2009) Buy Now

Relativity Art Poster Print by M. C. Escher, 14x11

Amazon Price: $7.99 (as of 11/12/2009) Buy Now

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