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Design Your Own Robe with Symmetry

Design Your Own Robe with Symmetry
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2023-01-25 01:10
Explore line symmetry in fashion design by sketching symmetrical patterns in different colors. This example demonstrates how to create symmetrical figures using GeoGebra commands like Segment, Point, Polygon, and Vector. It covers core math concepts of symmetry and is suitable for upper elementary students learning geometric constructions.

GeoGebra Commands & Parameters

  1. Segment((0, 1), (0, 20)) → symmetryLine
  2. boxTool(10, 19, (0, 2.5)) → drawArea
  3. Point(Segment[(0, 10), (0, 20)]) → P1
  4. Point(Segment[(0, 10), (0, 0)]) → P7
  5. PointIn(drawArea) → P2
  6. PointIn(drawArea) → P3
  7. PointIn(drawArea) → P4
  8. PointIn(drawArea) → P5
  9. PointIn(drawArea) → P6
  10. Polygon({P1, P2, P3, P4, P5, P6, P7, Mirror[P6, yAxis], Mirror[P5, yAxis], Mirror[P4, yAxis], Mirror[P3, yAxis], Mirror[P2, yAxis]}) → robeOutline
  11. PointIn(sketchRegion) → PDrawBlue
  12. PointIn(sketchRegion) → PDrawGreen
  13. PointIn(sketchRegion) → PDrawOrange
  14. PointIn(sketchRegion) → PDrawPink
  15. If(Length[drawPink] ≤ 1, {PolyLine[dummy]}, {PolyLine[drawPink], PolyLine[Mirror[drawPink, yAxis]]}) → designPink
  16. If(Length[drawGreen] ≤ 1, {PolyLine[dummy]}, {PolyLine[drawGreen], PolyLine[Mirror[drawGreen, yAxis]]}) → designGreen
  17. If(Length[drawOrange] ≤ 1, {PolyLine[dummy]}, {PolyLine[drawOrange], PolyLine[Mirror[drawOrange, yAxis]]}) → designOrange
  18. Vector((-10, 2), (0, 2)) → vSymmetry
  19. Element({"allPink", "allGreen", "allBlue", "allOrange"}, currentPen) → currentMasterList
  20. Element({"drawPink", "drawGreen", "drawBlue", "drawOrange"}, currentPen) → currentPoints
  21. Zip({PolyLine[A], PolyLine[Mirror[A, yAxis]]}, A, allOrange) → allDesignOrange
  22. Zip({PolyLine[A], PolyLine[Mirror[A, yAxis]]}, A, allPink) → allDesignPink
  23. Zip({PolyLine[A], PolyLine[Mirror[A, yAxis]]}, A, allBlue) → allDesignBlue
  24. Zip({PolyLine[A], PolyLine[Mirror[A, yAxis]]}, A, allGreen) → allDesignGreen
  25. Length(allDesignBlue) → test

AI Drawing Prompt Reference

Draw a symmetric clothing pattern with a vertical symmetry axis and multiple symmetric points. The pattern includes lines of different colors that are mirrored on both sides of the axis. Construct it by first drawing the axis, then adding symmetric points, and finally drawing mirrored lines.
The prompt above was compiled from the original drawing commands and is for reference only.