A #SteinerChain is a set of n circles, each tangent to its neighbors and to two given non-intersecting circles. If a closed chain exists, Steiner’s porism guarantees infinitely many.
Their centers lie on an ellipse.

A #SteinerChain is a set of n circles, each tangent to its neighbors and to two given non-intersecting circles. If a closed chain exists, Steiner’s porism guarantees infinitely many.
Their centers lie on an ellipse.
Animation of a fractal built on Steiner chains: tangent circles nested to infinity, preserving tangencies at every level.
Credits: Gábor Damásdi
(szimmetria-airtemmizs.tumblr.com/about)
#mathematics #fractals #SteinerChain #Mathsky🧪 #iteachmath #mathart