My new square dog. He will be a gift for my niece. I think I'm safe showing it here as her parents heard the internet wasn't safe for babies.
Some more of the fabric used here.
It's just six same size squares sewn together in a net shape (like you probably did in maths at school to make a dice), it's four in a row and one on each side of another square and then join them up!
I appliquéd the face before sewing and pinned the ears and tongue when sewing the adjacent square. Though I would have preferred him without the tongue now.
Don't forget to leave a small opening for turning and stuffing, sew closed and you're done!
(I don't advise using buttons on a toy for babies, mine are well secured and will be given to a one year old who will be supervised. Phew, I was starting to sound like a responsible grown up then!)