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Steiner Chain -- from Wolfram MathWorld
Steiner Chain -- from Wolfram MathWorld
Given two circles with one interior to the other, if small tangent circles can be inscribed around the region between the two circles such that the final circle is tangent to the first, the circles form a Steiner chain. The simplest way to construct a Steiner chain is to perform an inversion on a symmetrical arrangement on n circles packed between a central circle of radius b and an outer concentric circle of radius a (Wells 1991). In this arrangement, sin(pi/n)=(a-b)/(a+b), (1) so the...
·mathworld.wolfram.com·
Steiner Chain -- from Wolfram MathWorld
How to work out how many small circles I can fit into a big circle - Quora
How to work out how many small circles I can fit into a big circle - Quora
Answer (1 of 7): If it’s a circular table you want, and the outermost coins sit flush with the edge, and you’re looking for perfect regularity in the way they are arranged, it’s not gonna happen. You’ll find gaps of various shapes and sizes between the coins. But if you are willing to go square,...
·quora.com·
How to work out how many small circles I can fit into a big circle - Quora
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·saashub.com·
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Ellipsoid mesh from curvature lines - Grasshopper - McNeel Forum
Ellipsoid mesh from curvature lines - Grasshopper - McNeel Forum
For the continuous case I believe what you show are confocal quadrics. For the discrete version though, according to the paper by Simon Schleicher et al that your first figure comes from, to get the planar quad mesh discretization there with the touching incircles, they used the quasiisothermic mesh layout approach of Sechelmann et al, as described in this paper. The touching incircle energy described in that paper is actually something I added as part of the latest Kangaroo release. Here’s a...
·discourse.mcneel.com·
Ellipsoid mesh from curvature lines - Grasshopper - McNeel Forum