Spiral cubic Zentangles
A cubic spiral, also known as a clothoid or Euler spiral, is a type of transition curve used in road and railway design to smoothly connect a straight line to a circular curve. It's characterized by a gradual change in curvature, ensuring a smooth and comfortable transition for vehicles and minimizing abrupt changes in acceleration. Key characteristics of a cubic spiral: Curvature varies linearly with curve length: This means the curvature increases or decreases at a constant rate along the spiral's length. Perpendicular offset from tangent is proportional to the cube of the distance along the curve: This property is used in the defining equation of the curve. Provides a smooth transition: The gradual change in curvature helps avoid sudden changes in acceleration, improving ride comfort and safety. Used in railway and highway design: Cubic spirals are frequently used in both railway and highway engineering to provide smooth transitions between straigh...