String Art and Parabola by MathArtRealLife

String Art and Parabola by MathArtRealLife
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2018-05-19 08:34
This example demonstrates the formation of a parabola through dynamic string art. It involves core mathematical concepts such as parabola, calculus, unit circle, polynomial functions, linear functions, and normal distribution. The construction uses GeoGebra commands like Sequence to generate a sequence of points, along with objects c, A, B, L_1, C, L_2, L1, L2, L_3, f, and text1 for annotation. Suitable for high school and above students to explore geometric construction and algebraic representation of parabolas.

GeoGebra Commands & Parameters

  1. Sequence((i / c * A) + ((c - i) / c * B), i, 0, c) → L_1
  2. Sequence((i / c * B) + ((c - i) / c * C), i, 0, c) → L_2
  3. Sequence(Segment[Element[L_1, i], Element[L_2, i]], i, 1, c + 1) → L_3