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Entrelacs Pattern

Entrelacs Pattern
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2014-10-15 00:56
TrigonometryCoordinate GeometryGeometric Construction
In collections surface 3D surface 3D
This example demonstrates the generation of entrelacs patterns. Key mathematical concepts include continuity and random variables. Using the CurveCartesian command, complex entrelacs patterns can be constructed. Suitable for high school students and math enthusiasts.

GeoGebra Commands & Parameters

  1. CurveCartesian((cos(t) * (1 + (a * sin((n * t))))), (sin(t) * (1 + (a * sin((n * t))))), 1 + (h * sin((n * t))), t, 0, 6.29) → c1
  2. CurveCartesian((cos(t) * (1 + (a * sin((n * t) - d3)))), (sin(t) * (1 + (a * sin((n * t) - d3)))), 1 + (h * sin((n * t) - h3)), t, 0, 6.29) → c3
  3. CurveCartesian((cos(t) * (1 + (a * sin((n * t) - d2)))), (sin(t) * (1 + (a * sin((n * t) - d2)))), 1 + (h * sin((n * t) - h2)), t, 0, 6.29) → c2

AI Drawing Prompt Reference

Create a complex pattern composed of interwoven continuous curves, demonstrating the mathematical concepts of continuity and random variables. The design features three interlacing curves, each shaped by trigonometric functions with parameter adjustments, resulting in a dynamic and aesthetically pleasing geometric pattern suitable for exploring coordinate geometry and trigonometric applications.
The prompt above was compiled from the original drawing commands and is for reference only.