Infinite Family
A Steiner chain between two non-intersecting circles can always be transformed into another Steiner chain of equally sized circles sandwiched between two concentric circles. Therefore, any such Steiner chain belongs to an infinite family of Steiner chains related by rotation of the transformed chain about O, the common center of the transformed bounding circles.
Read more about this topic: Steiner Chain
Famous quotes containing the words infinite and/or family:
“Whatever we have got has been by infinite labour, and search, and ranging through every corner of nature; the difference is that instead of dirt and poison, we have rather chosen to fill our hives with honey and wax, thus furnishing mankind with the two noblest of things, which are sweetness and light.”
—Jonathan Swift (1667–1745)
“If you understand why a monkey in a family is always mocked and harassed, you understand why monks are rejected by all—both old and young.”
—François Rabelais (1494–1553)