Kate joins in with a music session at the hospice.

The Princess and the frog!

The Duchess of Cambridge took part in a nursery rhyme session and played with a frog hand puppet during her visit to a Middlesex hospice.

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The new Prince of Cambridge is introduced to the world

The new Prince of Cambridge was introduced to the world today.

The Duchess held her son first and the couple looked relaxed and smiled broadly as the world's media captured the moment.

The Royal baby's fingers clasped and unclasped in what looked almost like his first royal wave.

Speaking outside the hospital, William and Kate said they felt "very emotional".

ITV News' Royal Correspondent Tim Ewart reports:

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Royal baby picture tweets peak at 18,000 per minute

Kate, new baby and William leaving the Lindo Wing of St Mary's Hospital.
Kate, new baby and William leaving the Lindo Wing of St Mary's Hospital. Credit: PA Wire

More than 18,000 people a minute tweeted about the royal baby as he made his first public appearance this evening, Twitter said.

The figure was short of peak of 25,300 tweets per minute which mentioned the baby last night after the birth was announced.

Read: Royal baby tweets peak at more than 25,300 a minute

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Kate's first baby appearance invites Diana comparison

The Duchess of Cambridge looked radiant as she presented her son to the world in a pale blue polka dot dress reminiscent of the pattern worn by Princess Diana on the day she left hospital with Prince William.

Diana and Charles hold a newborn Prince William outside the Lindo Wing in June 1982. Credit: PA

Kate stepped out of the Lindo Wing wearing a bespoke piece by Jenny Packham, a couturier who has become something of a household name thanks to the Duchess.

Observers were quick to draw parallels with the outfit worn by William's late mother when she posed on the same doorstep with her first-born son in a green spotted dress.

William and Kate hold their newborn Prince outside the Lindo Wing in July 2013. Credit: PA

But where Diana appeared nervous and bewildered by the attention, a glowing Kate smiled broadly and spoke assuredly as she introduced her child to the world's press and the hordes of cheering well-wishers.

Video: Is this the new baby's first royal wave?

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