Tesselations
What is a tesselation?
It is a design consisting of the same interlocking pattern repeated over and over
M. C. Escher
1898 - 1972
Born in Holland
Studied architecture
Famous artist
Mathematical ties
Used symmetry and tesselationshttp://gonzo2236.tripod.com/escher.html
This is a sample of a tesselation using a geometric shape .
Regular Tesselation
• Rules:
• Must be a regular
polygon
• Polygons cannot overlap or connect
• Each vertex must be the same
• Angles that form vertices must equal 360º
Is this a regular tesselation?
Why
or
why
not?
Semi-regular Tesselations
Rule: Must use two or more different regular polygons
Is this a semi-regular tesselation?
Why
or
why
not?
Now challenge yourselves
with the Scavenger Quest
Sources
• http://www.ScienceU.com/geometry/articles/tiling/• http://www.Coolmath.com/tesspag2.htm • http://www.gonzo2236.tripod.com.escher.html
Submitted by Jan Bender and Jackie Jordan
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