Floyd Dilations 5

Floyd Dilations 5
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2018-03-27 06:34
This example demonstrates the construction of Floyd texture patterns through dilation transformations, showcasing the application of natural numbers, exponents, and angles in geometry. Core mathematical concepts include dilation, natural number sequences, exponential growth, angle variations, and the construction of 3D shapes. The construction uses GeoGebra commands like Polygon, Dilate, and Slider to dynamically visualize geometric changes by adjusting the dilation factor k and angle c. Suitable for high school and above learners to understand transformation geometry, sequences and functions, and solid geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Dilate(A, k, D) → A'
  3. Dilate(B, k, D) → B'
  4. Dilate(C, k, D) → C'
  5. Polygon(A', B', C') → poly1', c', a', b'