Grasshopper
Schramm circle pattern
A Schramm circle pattern, as described by Oded Schramm in his paper 'Circle patterns with the combinatorics of the square grid' generated using Kangaroo
A Schramm circle pattern, as described by Oded Schramm in his paper 'Circle patterns with the combinatorics of the square grid' generated using Kangaroo
Dedackelzucht
Hey Daniel,
That is very nice. I have been working on a defenition for this as well and did not get good solutions. In 2D its ok, but 3D is quiet complicated. The special thing about it for me is, that you can make groups of knots with 4 circles (all tangent in one point). and then use arcs to genrate shapes for planar quads.
Have you used Schramms Mathematical functions for the grid? I tried to get a soluttion by the tangencies of many circles controled by 3 pts.
http://www.ics.uci.edu/~eppstein/junkyard/tangencies/octahedron.html
nice work!
Best Regards
DeDackel
Aug 15, 2012
Daniel Piker
Hi Dedackelzucht,
Very interesting. So are you generating cyclide patches, like described in this paper by Bobenko and Huhnen-Venedey
http://arxiv.org/pdf/1101.5955.pdf ?
(see also http://page.math.tu-berlin.de/~huhnen/talks/12_ANU.pdf
and http://www.geometrie.tugraz.at/wallner/cas.pdf)
Aug 15, 2012