Polyominoes
Library Home 
Full Table of Contents 
Suggest a Link 
Library Help
http://members.tripod.com/~modularity/pol.htm  


Slavik Jablan  
A plane topological disk (i.e. a plane region without "holes") consisting of n edgetoedge adjacent squares is called a polyomino. This site offers a shape description: in every border square cell of a polyomino we could introduce twosided mirrors perpendicular to the internal edges in their midpoints. After a series of reflections, a ray of light will "describe" the shape: a closed Dragon curve. If we denote a reflection in a border mirror by 0, and a reflection in an internal mirror by 1, we have 01 words (or symbols) for polyominoes, where these words are cyclically equivalent (can be read starting from any sign 0 or 1 and ending in it). Illustrations; conclusions about symmetry; polyomino growing; curvilinear shapes; and Lunda polyominoes.  


Levels:  Middle School (68), High School (912) 
Languages:  English 
Resource Types:  Graphics, Problems/Puzzles 
Math Topics:  Euclidean Plane Geometry, Symmetry/Tessellations 
[Privacy Policy] [Terms of Use]
© 1994 The Math Forum at NCTM. All rights reserved.
http://mathforum.org/