An Equiangular Spiral
An equiangular spiral, also known as a logarithmic spiral is a curve with the property that the angle between the tangent and the radius at any point of the spiral is constant.
In polar coordinates: where and are positive real constants.
In parametric form: where and are real numbers.
- Move the point over the spiral to see the constant angle between the radius and the tangent.
- Consider a>0; a<0;
- α>90°, α<90°, α=90°.