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The Duchess of Cambridge arrived in Glasgow wearing a tartan coat to tour one of the venues for events at the 2014 Commonwealth Games.
Accompanied by her husband, the Duke, Kate visited the Emirates Arena, including the Sir Chris Hoy Velodrome, watching riders in a practice session.
The engagement is part of a two-day tour of Scotland.
At the Emirates Arena, William and Kate met Games organisers and budding athletes, before unveiling a commemorative plaque to mark their visit.
The couple delighted onlookers by stopping to chat, and William accepted a little girl's request for a kiss from a prince.
Four-year-old Shona Ritchie was dressed in her favourite green and gold princess outfit complete with a gold crown as she stood outside the arena with her family.
Her mother, Karen Ritchie, 34, from Croftfoot, Glasgow, said Shona had waited all morning to ask William for a kiss but, as he leaned over, she became shy.
``She's been dressed up like that since 6am today and we've been here waiting since nine,'' Mrs Ritchie said.
``But when she finally plucked up the courage to ask him, she got really shy and pulled away. As he leaned in to kiss her on the forehead she pulled away and got really shy.
``This is the quietest she's been all day.''
Kate also stopped to talk to Shona, who gave the Duchess a red flower she had picked out of her mother's vase at home.
Mrs Ritchie said: ``She said Shona looked very pretty and asked her if she had picked the flower from her garden, but Shona told her she got it from my vase in the house and she thought that was very funny.''
The Duke and Duchess also watched pole vaulters, badminton players and a netball match.
They were treated to a performance from the Glasgow 2014 mascot, Clyde, and Clyde's dance crew.
William later donned headphones to play DJ at a homeless centre for young people.
The crowd who gathered to meet the Duke were delighted when he agreed to a crash course in mixing on the decks.
He tried his hand at ``scratching'' but claimed it was harder than his day job flying a helicopter.
``I think I should come better prepared next time,'' he said after his attempt at mixing Run DMC's It's Like That with another record, a collection of beats and samples.
The Duchess meanwhile turned producer as she called ``cut'' during a filming session, one of several workshops available for youngsters at the Quarrier's Stopover Project on Glasgow's southside.
Kate reassured the camera-shy ``actors'' and applauded when they finished their pieces.
Later she admitted that knitting was so far not one of her strong points when a resident presented her with a woollen hat for her child along with a teddy bear and babygro.
She said: ``I've been trying to knit and I'm really bad. I should be asking for tips.''
She told 17-year-old Caitlin Coffield: ``It's very sweet of you, I'll keep it safe for the big day.''
The Stopover Project provides short-term accommodation and support to 16 to 25-year-olds.