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Modular Addition in a Triangle

Modular Addition in a Triangle
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2018-09-19 23:34
TriangleFunctionCoordinate Geometry
This example demonstrates modular addition within a triangle. It involves the core mathematical concept of modular addition. Using GeoGebra commands such as Polygon, Sequence, and Join, a triangle is constructed and the dynamic changes of modular addition are shown. Suitable for middle or high school mathematics education, helping students understand the geometric meaning of modular addition.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 3) → poly1, f, g, h, C
  2. Sequence(A + (w * (B - A)), w, 0, 1, 1 / n) → L_1
  3. Sequence(B + (w * (C - B)), w, 0, 1, 1 / n) → L_2
  4. Sequence(C + (w * (A - C)), w, 0, 1, 1 / n) → L_3
  5. Join({L_1, L_2, L_3}) → L_4
  6. Join({L_4, L_4}) → L_5
  7. Sequence(Segment[L_4(w), L_5(w + m)], w, 1, Length[L_4]) → L_6

AI Drawing Prompt Reference

Draw a triangle ABC, then dynamically plot a series of points on each side of the triangle, gradually changing from the starting point to the endpoint, forming a series of line segments, and finally connect these segments to illustrate the geometric meaning of modular addition.
The prompt above was compiled from the original drawing commands and is for reference only.