Totally Tessellated: To Main Page
History and Culture of TessellationsEssential Information Regarding TessellationsA Simple Type of TessellationM. C. Escher and His Unique Approach to Tessellations
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Other Design and Color Techniques (4/6)
 

1. Introduction 2. Border Modification 3. Embellishment 4. Variations of a Simple Shape 5. Stars 6. Balancing Colors 7. 3D Coloration

Stars
Islamic designs are well-known for their impressive usage of star-shaped polygons. Here are two examples:

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Notice the smaller stars contained within larger stars


This example shows the use of stars in a true repeating tessellation of polygons

How to create such marvelous tessellations is beyond the scope of this site. A wonderful experience would be to discover for yourself what exactly in terms of geometry is meant by the term "star." The following animation will give you a few hints regarding the direction in which you should proceed.



The simplest stars (known as regular stars) are created using regular polygons as framework. The procedure is to connect the vertices of a regular polygon in a pre-defined order. For example, for the pentagon on the left, vertices are connected by proceeding in a clockwise direction, skipping one vertex each time. The number of vertices skipped can be varied, as can the number of sides of the original regular polygon.

Experiment and explore this geometric definition of "star." Then, analyze the Islamic star patterns shown above and try designing a tessellation of your own.

Web Resource
Islamic Patterns - a tutorial on how to create star-like Islamic patterns

 

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