Construction of a Steiner Chain

The Steiner chain is a set of circles inside an outer circle, where all circles are touching their neighbor in a single point. Naturally the first version within Flash is already made by Mario Klingemann in 2002 to create some nice artwork. He also has a AS3 version in his libs.

My version is rather optimized for runtime purpose, does not create objects in runtime.

Press UP/DOWN to add/remove circles to the steiner chain.
Press RIGHT/LEFT to adjust the rotation speed.
Ensure keyboard focus (Click once in the Flash movie)

View this page in Romanian by courtesy of azoft.

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More references
Wiki | Wolfram

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7 thoughts on “Construction of a Steiner Chain”

  1. Great job,

    This could be a new way to navigate within an application:
    – Circles receive focus each time they become the “biggest” instance on the face of the main circle.
    – Clicking the red circle allows access to information associated with the focused circle by firing an event.

    Just some thoughts anyway.

  2. I was listening to your “Doomed tracks from the nineties” while playing around with this fun creation. They fit together like peas in a pod.

  3. Hi…
    I notice, in the wikipedia steiner chain
    entry, that the ~speed of the centers of
    the steiner circles following an ellipse
    seems to roughly follow an inverse square
    law (a la Kepler). Is there anything to
    this?
    Thanks,
    Gene

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