Tesselations

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Tesselations
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What is a tesselation?
It is a design consisting of the same
interlocking pattern repeated over and over
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M. C. Escher
1898 - 1972 Born in Holland Studied
architecture Famous artist Mathematical ties Used
symmetry and tesselations http//gonzo2236.tripod.
com/escher.html
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This is a sample of a tesselation using a
geometric shape .
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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

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Is this a regular tesselation?
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• Why
• or
• why
• not?

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Semi-regular Tesselations
Rule Must use two or more different regular
polygons
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Is this a semi-regular tesselation?
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• Why
• or
• why
• not?

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Now challenge yourselves
with the Scavenger Quest
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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