Point sets {spiral} around a fixed point {center, spiral} can have distance {radius vector, spiral} from center to fixed point that relates to rotation angle {vectorial angle}.
equiangular
Spirals {equiangular spiral} can have equal inclinations of radius vector and tangent vector at all points.
types
Archimedes spiral is r = a*A, where a is constant, A is angle, and r is radius. Spirals {parabolic spiral} {Fermat's spiral} can be r^2 = a*A.
Equiangular spirals {logarithmic spiral} {logistic spiral} can be log(r) = a*A.
reciprocal
Spirals {hyperbolic spiral} can be: r*A = a. Hyperbolic spirals are same as inverse {reciprocal spiral}.
loxodromic spiral
Spirals {loxodromic spiral} {rhumb line, spiral} in spheres can cut meridians at constant angle.
Mathematical Sciences>Geometry>Plane>Curve>Kinds>Set
3-Geometry-Plane-Curve-Kinds-Set
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Date Modified: 2022.0224