Making Pentagonal Tiles
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Symmetry, Transformation and Tessellation
This example demonstrates how to construct pentagonal tiles using 3D vectors and geometric transformations. It involves core math concepts like vectors in 3D, coordinate geometry, geometric construction, intersection, and tangent lines. Key GeoGebra commands and objects used include Midpoint, Mirror, and Segment, along with points A, B, C, D, E, F, F'. Suitable for high school and above, focusing on spatial geometry and vector applications.
GeoGebra Commands & Parameters
Midpoint(A, C) → EMirror(F, E) → F'Segment(A, F) → aSegment(F, D) → bSegment(F, F') → cSegment(F', B) → dSegment(F', C) → e