Ashley Hand's Research

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Ashley Hand's Research
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FRIEZE PATTERNS
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• Frieze patterns have translational symmetry that
  repeats in one direction. There are seven
  different frieze patterns. They are as followed
• no other symmetry
• horizontal line symmetry
• point symmetry
• glide-reflection symmetry
• vertical line symmetry
• vertical line symmetry and glide-reflection
  symmetry
• vertical line symmetry and horizontal line
  symmetry

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This is one example of a frieze pattern. All the
shapes go in the same direction and they have
translation symmetry.
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The second frieze example shows translation and
glide reflection.
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The third frieze example is showing vertical
reflection symmetry and translation.
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The fourth example has rotation (by a half-turn)
and it has translation just like all the other
also.
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This has a reflection symmetry. If you were to
fold it in half it would over lap each other and
it would be exactly the same.
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This is the same reflection pattern for frieze.
They are congruent and translational.
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Wallpaper patterns
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It is also known as a plane, crystalagraphic
group. And it is a pattern with translation
symmetry in two directions.there are seven-teen
different wallpaper patterns. We are required to
know these four

• Translation symmetry
• Rotational symmetry
• Line symmetry
• Glide-reflection symmetry

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This example has translational symmetry. All the
shapes are exactly the same and are all congruent
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This example has rotational symmetry. If you
rotate this figures, they will be exactly the
same.
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Line symmetry is in this wallpaper pattern. You
can see all the different lines and how they
connect through symmetry.
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This example has glide reflection symmetry. If
you were to glide these figures all to the right
to one corner, they would all be exactly the
same. They match up perfectly.
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work sited page!

• http//www.joma.org/vol1-2/framecss/rintel/Math/wa
  llpattern.html

• http//www.maths.abdn.ac.uk/maths/department/teach
  ing/wallpapers/wallpap.html

• http//www.geocities.com/ruthpoh/

• http//math.truman.edu/thammond/history/FriezePat
  terns.html

(one more page sorensen)
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THE END SORENSEN!