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:
“Gratiano speaks an infinite deal of nothing, more than any man in all Venice. His reasons are as two grains of wheat hid in two bushels of chaff; you shall seek all day ere you find them, and when you have them, they are not worth the search.”
—William Shakespeare (1564–1616)
“Family lore can be a bore, but only when you are hearing it, never when you are relating it to the ones who will be carrying it on for you. A family without a storyteller or two has no way to make sense out of their past and no way to get a sense of themselves.”
—Frank Pittman (20th century)