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Thread Art with Mod Multiplication

Thread Art with Mod Multiplication
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2017-03-27 03:16
FunctionSequenceCoordinate Geometry
This example demonstrates编织艺术图形 through the use of modular multiplication. It involves concepts of modular arithmetic and iteration. Using GeoGebra commands such as Sequence and IterationList, a series of segments are constructed to form unique patterns. Suitable for high school mathematics education, particularly in coordinate geometry and function graphing.

GeoGebra Commands & Parameters

  1. Sequence(Mod[(k * m), n], k, 1, n - 1) → nums
  2. Sequence((cos((r * theta)), sin((r * theta))), r, 1, n - 1) → L
  3. IterationList(nums(k), k, {nums(1)}, n - 1) → nums2
  4. Sequence((((more(cos((r * theta))) * th) * cos((r * theta))), ((more(sin((r * theta))) * th) * sin((r * theta)))), r, 1, n - 1) → pos
  5. Sequence(Text[i, pos(i)], i, 1, n - 1) → labs
  6. Segment(L(nums2(n - 1)), L(nums2(1))) → f
  7. Sequence(Segment[L(nums2(i)), L(nums2(i + 1))], i, 1, n - 2) → L2

AI Drawing Prompt Reference

Create a woven art pattern generated through modular multiplication, demonstrating concepts of modular arithmetic and iteration. Start by producing a series of points transformed via polar coordinates, then connect these points iteratively based on modular results to form segments, ultimately creating a complex pattern suitable for high school mathematics education in coordinate geometry and function graphing.
The prompt above was compiled from the original drawing commands and is for reference only.