About site: Math/Recreations/Tessellations - Tilings and Geometric Ornament
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  About site: http://www.cs.washington.edu/homes/csk/tile/

Title: Math/Recreations/Tessellations - Tilings and Geometric Ornament Applying principles of computer graphics to the creation of geometric ornament, as a continuation of the tradition of ornamental design using modern tools and algorithms.
Totally_Tessellated An introduction to tessellations explaining the basic underlying mathematics, and with many examples from real life.

17_Wall_Paper_Symmetry_Groups_to_Create_a_Regular_Division_of_the_Plane Graphics.

Wallpaper_Groups Images and descriptions of the 17 plane symmetry groups.

William\'s_Geometric_Construction_Page Activities to create patterns using simple resources, such as making equilateral triangle from a circle. Suitable for upper primary and lower secondary ages.

Aanderaa_Instruments Instruments and Sensors for Land, Sea and Air

Adcon_Telemetry_GmbH Provide meteorological sensors, but specialty is wireless telemetry.


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GRAIL: Tilings and Geometric OrnamentUniversity of Washington / Department of Computer Science and Engineering / GRAIL / Projects Tilings and Geometric Ornament Introduction The goal of this project is to explore the relationship between computergraphics, geometry, and ornamental design. Each of these three subjectshas been studied extensively on its own. Even the pairwise intersectionshave been fairly well-traveled. But there is lots of room for explorationin the intersection of all three. We view this research as an attempt to apply principles ofcomputer graphics to the creation of geometric ornament, as acontinuation of the tradition of ornamental design using modern tools and algorithms.It's exciting to know that people out there are reading this pageand finding it interesting. But it's also a serious wake-up call!Exposure makes me think about how much more information I'd love to put up here if I had the time. In the meantime, if you have questions, or even requests for what else I should publish here, please get in touch. Personnel Craig S. Kaplan David H. Salesin Publications Escherization M.C. Escher was amazingly good at creating tesselations of the plane out of recognizable or lifelike shapes. Can we do automatically what he did with great effort? That is, given an arbitrary shape in the plane, can we come up with a tiling that resembles that shape? We call this the Escherization problem. Find out more about Escherization. Read the paper from SIGGRAPH 2000.   Islamic Star Patterns A thousand years ago, Islamic artisans developed a system of architectural decoration that remains unparalleled to this day. Since that time, many techniques have been proposed for recreating some of their designs. Strangely, all these techniques are successful in some ways, making it harder to determine how these designs were really constructed. We have successfully applied one such technique to the creation of novel Islamic ornament. Find out more about the Islamic design project. Read the paper from Bridges 2000.   Parquet Deformations In Metamagical Themas, Douglas Hofstadter presents parquet deformations, the work of William Huff at SUNY Buffalo. Huff got his architecture students to create strips of geometric ornament where the shapes involved deform in one direction of space, in a kind of frozen, spatial animation. We have developed an initial system for creating parquet deformations out of tilings, and have examined several extensions to Huff's idea. Find out more about parquet deformations.   Symmetrohedra (with George Hart) Symmetrohedra are a new infinite class of polyhedra. Each has the symmetries of one of the five Platonic solids, but they allow a wide range of regular polygons as faces. Find out more about symmetrohedra. Read the paper from Bridges 2001.   Voronoi Diagrams Voronoi diagrams are a well known and powerful tool in mathematics and the sciences. Despite their historical connections to symmetry via crystallography, the use of Voronoi diagrams in the construction of ornamental designs has not been well-explored. We have carried out a preliminary inquiry into art from Voronoi diagrams. Find out more about ornamental Voronoi diagrams. Read the paper from ISAMA 1999. Last modified: Tuesday, 04-Dec-2001 15:20:55 ESTby Craig S. Kaplan
 

Applying

principles

of

computer

graphics

to

the

creation

of

geometric

ornament,

as

a

continuation

of

the

tradition

of

ornamental

design

using

modern

tools

and

algorithms.

http://www.cs.washington.edu/homes/csk/tile/

Tilings and Geometric Ornament 2009 January

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Applying principles of computer graphics to the creation of geometric ornament, as a continuation of the tradition of ornamental design using modern tools and algorithms.

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