Meta-recurrent homeomorphism families on a 1-holed IFS

**aperson** · 01-4-2007, 03:44 PM

Image link (it's big): http://ic1.deviantart.com/fs13/f/200...by_aperson.jpg
Link to deviantart part of it:
http://www.deviantart.com/deviation/45969001/

The original image was created by plotting the trajectories of a family of homeomorphisms based around a 1-holed structure. After that, I tried to find a series of geometric transformations which would preserve the main elements of the homeomorphic structure on a visual metalevel. The center is meant to be the main focal point of this image by plotting a direct trajectory through a hole of the system.

01-4-2007, 03:44 PM	#1
aperson FFR Hall of Fame Join Date: Jul 2003 Location: Houston Posts: 3,431	Meta-recurrent homeomorphism families on a 1-holed IFS Image link (it's big): http://ic1.deviantart.com/fs13/f/200...by_aperson.jpg Link to deviantart part of it: http://www.deviantart.com/deviation/45969001/ The original image was created by plotting the trajectories of a family of homeomorphisms based around a 1-holed structure. After that, I tried to find a series of geometric transformations which would preserve the main elements of the homeomorphic structure on a visual metalevel. The center is meant to be the main focal point of this image by plotting a direct trajectory through a hole of the system. __________________ Last edited by aperson; 01-4-2007 at 04:13 PM..

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