Steiner's chain is a set of n circles, all of which are tangent to two given non-intersecting circles, where n is finite and each circle in the chain is tangent to the previous and next circles in the chain. In the usual closed Steiner chains, the first and last circles are also tangent to each other.
The given circles do not intersect, but otherwise are unconstrained; the smaller circle may lie completely inside or outside of the larger circle. In these cases, the centers of Steiner-chain circles lie on an ellipse or a hyperbola, respectively.
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http://mathforum.org/mathimages/index.php/Steiner's_Chain
Animation credit:
WillowW
#mathematics #steinerschain #animation
The red circle seems to be important.
ReplyDeleteSeems at applied mathematics
ReplyDeleteSo which is the dominant circle of the movement and is it relevant to what is happening 😏
ReplyDeleteRead the content and this will manifests answers to your questions .
ReplyDeleteAnd the link .
ReplyDelete7 vd
ReplyDeletethe black bordered circles are increasing & decreasing their radius,is there any explanation for it?
ReplyDeleteBeautiful
ReplyDeleteElegant!
ReplyDeleteAmazing
ReplyDeleteThis is the smart section of the Internet.
ReplyDeleteIf you can find one arrangement of 6 circles that touches each neighbor (actually any integer number of circles), and both the inner and outer circles, the mathematics assures you that there are infinitely other arrangements (animated as continuous motion)
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