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Recamán's Sequence Visualization

Recamán's Sequence Visualization
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2018-07-25 09:40
FunctionSequenceCoordinate GeometryGeometric Construction
In collections Graphs of Sequences
This example demonstrates the generation and visualization of Recamán's sequence, involving core mathematical concepts like sequences, coordinate geometry, and modular operations. It utilizes GeoGebra commands such as Mod, If, Length, CurveCartesian, along with objects like n, Seq, buttons, midpoints, functions, and parameters. Suitable for high school and above students exploring sequence patterns and geometric representations.

GeoGebra Commands & Parameters

  1. Mod(n, 2) → test
  2. If(test ≟ 1, (2 * π), π) → umax
  3. If(test ≟ 1, π, 0) → umin
  4. Length(Seq) → lng
  5. CurveCartesian((radArc * cos(u)) + mid, (radArc * sin(u)), u, umin, umax) → curveSeq