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The act of taking a self shot picture... of yourself... in an environment with a face of displeasure/Sadness.

the name "Pilking" comes from the name "Karl Pilkington" made famous by the show "An Idiot Abroad"

a show in which he commonly shows displeasure in his adventures around the globe.
You: "Here's a picture of me Pilking in front of the Statue of Liberty"
by Benarmy August 27, 2012