and their Inverted Images

The curves are defined by these equations:

c(t) = (t/tmax)^exponent * [ cos(t, sin(t) ]

Inversion(vec) = (20/norm(vec))^2 * vec

The spirals have monoton curvature functions,

hence their osculating circles are nested.

Each circle crosses the curve tangentially.

c(t) = (t/tmax)^exponent * [ cos(t, sin(t) ]

Inversion(vec) = (20/norm(vec))^2 * vec

The spirals have monoton curvature functions,

hence their osculating circles are nested.

Each circle crosses the curve tangentially.