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3-4cm long
Found on an outer wooden wall in a cleared garden area near the rainforest. Barra del Colorado Wildlife Refuge, near Cano Palma
I suspect you have a leaf mantis, Pseudacanthops caelebs.
I think it may be variable in color.
This is only a guess
http://www.flickr.com/photos/hickatee/78...
Cool! Similar ones in Asia have eyespots on their wings, visible when they open. They are in the genus 'Deroplatys' . Not sure if yours are in the same genus.