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Olga, your 'somebody's caterpillar' is the larva of the moth Cerura vinula - known in the UK as the Puss Moth, as the adult has a very hairy body, like a cat. They don't grow as large as the furry creature you pictured. The larvae are generally greener than that, but I believe that they turn brown as they prepare to pupate.
this little moth on Viola 'Boughton Blue' has ridiculously long antennae.