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Golden Ratio in an Octagonal Building

Golden Ratio in an Octagonal Building
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2019-03-13 17:57
PolygonTrigonometryGeometric Construction
In collections Golden Ratio and STEAM education
This example demonstrates the application of the golden ratio in an octagonal building. The golden ratio is a special mathematical proportion commonly found in nature and art. By constructing an octagon, we can observe the manifestation of the golden ratio in architecture. The core mathematical concepts involved include the golden ratio, geometric construction, and trigonometry. The construction uses Segment, Line, and Point commands in GeoGebra.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(C, D) → g
  3. Segment(E, F) → h
  4. Segment(G, H) → i
  5. Line(A, B) → j
  6. Line(C, D) → k
  7. Point(j) → I
  8. Point(k) → J
  9. Segment(I, J) → l
  10. Segment(B, D) → m