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Geom 7point6
 

Geom 7point6

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    Geom 7point6 Geom 7point6 Presentation Transcript

    • Frieze Patterns
      • Objectives:
      • Use transformations to classify frieze patterns
      • Use frieze patterns to design border patterns
    • Translations
      • A frieze pattern or border pattern is a pattern that extends to the left and right in a way that the pattern can be mapped onto itself by a horizontal translation.
    • Translations
      • In addition to being mapped onto itself by a horizontal translation, some frieze patterns can be mapped onto themselves by other transformations.
        • Translation T
        • 180˚ rotation R
        • Reflection in a horizontal line H
        • Reflection in a vertical line V
        • Horizontal glide reflection G
    • Translations
      • Look at the chart at the top of page 438
      • Now try some:
      • P. 438 bottom - snakeskin
      • TRHVG
      • P. 439 a.
      • TRHVG
      • P. 439 b.
      • T
    • Translations
      • P. 439 bottom
      • TR
      • P. 440 2.
      • TV
      • 3.
      • TV
    • Translations
      • 4.
      • TRHVG
      • 5.
      • TRVG
      • 6.
      • TRVG
    • Describe this translation:
      • Glide reflection and a translation
      • TG
    • Describe this translation:
      • Two parallel reflections and a translation
      • TV
    • Describe this translation:
      • Two half turns and a translation
      • TR
    • These translation were copied from:
      • http://plato.acadiau.ca/Courses/educ/Reid/Geometry/Symmetry/frieze.html
    • Describe these: Source: http://www.math.uic.edu/~burgiel/Mtht420/4/activity.html
    • Frieze Websites
      • Frieze Website
      • More Friezes
      • Australian Friezes
      • Friezes in Indigenous Art
    • Classwork & Homework
      • Classwork: Worksheet A
      • Homework: Worksheets B and C
      • Review all sections of Chapter 7 for tomorrow’s test