Transcript Math Alliance March 1, 2010 What Are Tessellations?  Write a definition on a notecard  Draw a picture that represents your definition 

Math Alliance
March 1, 2010
What Are Tessellations?
 Write a definition on a notecard
 Draw a picture that represents your definition
 Definition: Shapes or combinations of shapes that can
be put together without overlapping to completely
cover the plane.
Which Figures Tessellate the Plane?
Description of Tile
Tessellate?
Yes/No
Why?
(Conjecture)
Regular Polygons
 Regular Tessellation: A tessellation formed by (copies of) a
single regular polygon.
 Which regular tessellations can you make?
 Are these all of the regular tessellations? Why or why not?
Combinations of Regular Polygons
 Semiregular Tessellation: A tessellation formed by two or more
regular polygons with the same arrangement of polygons at every
vertex.
 Which patterns can you make?
 Why do these work?
Interactive Demonstrations
http://nrich.maths.org/content/id/4832/polygons.swf
Real-World Examples
Homework
 Section 11.2: #’s 1, 2, 6, 8, 12, 17, 23, 29, 35, 47, 50, 52a
 We will collect #’s: 6, 17, 35, 47, 50
 Good Websites to check-out:
 http://library.thinkquest.org/16661/simple.of.regular.polygons/semiregular.1.html
 http://nrich.maths.org/4832