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Hyperbolic Figure Studies: Ghosts
I've been continuing to sketch, visualize, and explore the hyperbolic plane in all its beauty. I've been playing with giving the hyperbolic plane forms that are a little less abstract, perhaps even representational. This one started in my head as the ghost of a lady in white, though it would be better if you too could see the dress flow and ripple as she floats along her favourite haunting grounds.

After my first two hyperbolic figure studies, I wanted to imagine more complex forms, forms that loop and fold in a sort of hyperbolic origami. In doing this, I accidentally re-discovered surfaces like Schwarz's P surface, which as it turns out can be made by rolling up a hyperbolic plane. While both those things are already known, I'm still going to give major points to mathematical art because they just as easily might not have been. Hopefully after a few more series of sketches I'll be entering new mathematical territory.

— posted Sunday, August 22, 2010 at 09:58PM EDT