String Art and Parabola

String Art and Parabola
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2018-05-31 04:34
This example demonstrates how to construct a parabola using string art. It involves core mathematical concepts such as the definition of a parabola, coordinate geometry, and geometric construction. The construction uses GeoGebra commands and objects like Intersect, Point, Segment, and Sequence. Suitable for high school mathematics education to understand the geometric properties and construction methods of parabolas.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → C
  3. Segment(B, C) → g_1
  4. Sequence((i / n * A) + ((n - i) / n * B), i, 0, n) → L_1
  5. Sequence((i / n * B) + ((n - i) / n * C), i, 0, n) → L_2
  6. Sequence(Segment[Element[L_1, i], Element[L_2, i]], i, 0, n + 1) → L_3
  7. Segment(B, A) → h
  8. Point(f) → D