Construction of a Steiner Chain

December 14th, 2010

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.

Get Adobe Flash player

More references
Wiki | Wolfram


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7 Responses to “Construction of a Steiner Chain”

  1. Steiner Chain - Flashforum Says:
    December 14th, 2010 at 2:42 pm

    [...] Chain Sources und mehr infos gibt es hier. __________________ aM blog | laboratory | tonfall | processing [...]

  2. Tweets that mention Andre Michelle » Blog Archive » Construction of a Steiner Chain -- Says:
    December 14th, 2010 at 3:14 pm

    [...] This post was mentioned on Twitter by Mario Klingemann, Andre Michelle, ☞ DcTurner, Filippo Lughi, jeremynealbrown and others. jeremynealbrown said: RT @andremichelle: New Blogpost: Construction of a Steiner Chain [...]

  3. Ian Ford Says:
    December 14th, 2010 at 7:49 pm

    I had never heard of Steiner chains before, but this is really quite lovely.

  4. Pascal Says:
    December 19th, 2010 at 9:13 pm

    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.

  5. red Says:
    December 23rd, 2010 at 9:05 am

    never heard of Steiner chains before, but this is really quite lovely.

  6. Phoenix Says:
    June 23rd, 2011 at 7:26 pm

    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.

  7. Gene Partlow Says:
    April 20th, 2013 at 12:40 am

    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