Geom 7point6


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Geom 7point6

  1. 1. Frieze Patterns <ul><li>Objectives: </li></ul><ul><li>Use transformations to classify frieze patterns </li></ul><ul><li>Use frieze patterns to design border patterns </li></ul>
  2. 2. Translations <ul><li>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. </li></ul>
  3. 3. Translations <ul><li>In addition to being mapped onto itself by a horizontal translation, some frieze patterns can be mapped onto themselves by other transformations. </li></ul><ul><ul><li>Translation T </li></ul></ul><ul><ul><li>180˚ rotation R </li></ul></ul><ul><ul><li>Reflection in a horizontal line H </li></ul></ul><ul><ul><li>Reflection in a vertical line V </li></ul></ul><ul><ul><li>Horizontal glide reflection G </li></ul></ul>
  4. 4. Translations <ul><li>Look at the chart at the top of page 438 </li></ul><ul><li>Now try some: </li></ul><ul><li>P. 438 bottom - snakeskin </li></ul><ul><li>TRHVG </li></ul><ul><li>P. 439 a. </li></ul><ul><li>TRHVG </li></ul><ul><li>P. 439 b. </li></ul><ul><li>T </li></ul>
  5. 5. Translations <ul><li>P. 439 bottom </li></ul><ul><li>TR </li></ul><ul><li>P. 440 2. </li></ul><ul><li>TV </li></ul><ul><li>3. </li></ul><ul><li>TV </li></ul>
  6. 6. Translations <ul><li>4. </li></ul><ul><li>TRHVG </li></ul><ul><li>5. </li></ul><ul><li>TRVG </li></ul><ul><li>6. </li></ul><ul><li>TRVG </li></ul>
  7. 7. Describe this translation: <ul><li>Glide reflection and a translation </li></ul><ul><li>TG </li></ul>
  8. 8. Describe this translation: <ul><li>Two parallel reflections and a translation </li></ul><ul><li>TV </li></ul>
  9. 9. Describe this translation: <ul><li>Two half turns and a translation </li></ul><ul><li>TR </li></ul>
  10. 10. These translation were copied from: <ul><li> </li></ul>
  11. 11. Describe these: Source:
  12. 12. Frieze Websites <ul><li>Frieze Website </li></ul><ul><li>More Friezes </li></ul><ul><li>Australian Friezes </li></ul><ul><li>Friezes in Indigenous Art </li></ul>
  13. 13. Classwork & Homework <ul><li>Classwork: Worksheet A </li></ul><ul><li>Homework: Worksheets B and C </li></ul><ul><li>Review all sections of Chapter 7 for tomorrow’s test </li></ul>