Coprinopsis sps

could it be Japanese Umbrella Inky?

Nice one!!

i would suggest try to search in the direction of the genus: Coprinopsis ( http://en.wikipedia.org/wiki/Coprinopsis ) for local species on : rogersmushroom or mushroomexpert or a local-mycology/fungi-site. it reminds me a bit at the species (for example) : lagopus; phaeosporus; or cinereus/fimetarius. your looks even more delicate. good luck

It looks more like a flower than a fungi.

That is pretty and unique!