Squares and Equilateral Triangles
Tessellation with Convex Hexagons 

B = D = F = 120 deg AB = BC; CD = DE; EF = FA worksheet for a transformation exercise based on this tessellation 

B+C+D = 360 deg AB = DE 

A+B+D = 360 deg AF = CD; BC = DE 

3 pairs of opposite sides equal and parallel 
Tessellation with Convex Pentagons 

B+C+D =360 deg 

A+B+D = 360 deg AE = DC 

A = B = D = 120 deg CD = DE; CA + BE = AB 

A = C = 90 deg EA = AB; BC = CD 

A = 60 deg; C = 120 deg EA = AB; BC = CD 

A+B+D = 360 deg; A = 2C DE = EA = AB; BC = CD 

2D+A = 360 deg; 2B+C = 360 deg EA = AB = BC = CD 

E = C = 90 deg AE = DC; ED = BC 

E = C = 90 deg AE = ED = DC = CB AB can be adjusted until all sides equal (Cairo Street Tiling) 
Tessellation with Concave Pentagons; Rotational Symmetry 

Regular Decagon (Colored and Outline) composed of equilateral pentagons worksheet for investigating number of pentagons in successive rings 

Regular Octagon  
Regular Nonagon  
Web
Totally Tessellated  A ThinkQuest Internet Challenge 1998
Entry http://library.thinkquest.org/16661/index2.html 

Tessellation Tutorials by Suzanne Alejandre at the Math Forum http://www.DrMath.com/sum95/suzanne/tess.intro.html 

Tessellations Theme Page at Community Learning Network http://www.cln.org/themes/tessellations.html 



Tantalizing Tessellations http://mathcentral.uregina.ca/RR/database/RR.09.96/archamb1.html 



Tessellations: Creative Combinations of Math, Art and Fun
(at mathartfun.com) http://www.tessellations.com/ 

Catalog of Isohedral Tilings by Symmetric Polygonal Tiles
by Doris Schattschneider and Nikolai Dolbilin http://forum.swarthmore.edu/dynamic/onecorona/ 



Intriguing Tessellations by Marjorie Rice: Discovery and Designsof Convex
Pentagon Tessellations 

Pentagons that tile the Plane http://burtleburtle.net/bob/tile/pentagon.html 



The 14 Different Types of Convex Pentagons that Tile the Plane http://www.mathpuzzle.com/tilepent.html 

Tessellation Resources at Geometry Centre http://www.geom.umn.edu/software/tilings/ 



Grotesque Geometry by Andrew Crompton http://www.cromp.com/tess/home.html 



Internet Lesson Plans by artist/teacher Woody Duncan http://www.taospaint.com/Tessellation.html 

Escher Web Sketch http://wwwsphys.unil.ch/escher/ 



Penrose Tiler: a Java applet for creating and investiagting
Penrose Tilings http://solar.aie.nl/~geert/java/public/Penrose.html 

Books
Gardner, M. (1988), Time Travel and Other Mathematical Bewilderments,
New York: W.H. Freeman and Company. 
Nelson, D., Joseph, G.G., Williams, J. (1993), Multicultural Mathematics,
Oxford: Oxford Unversity Press. (Ch. 6, Geometry and Art). 
Wells, D. (1991), The Penguin Dictionary of Curious and Interesting Geometry, Penguin Books. 