Childhood in The Winter's Tale
Children of the future ~ Perdita, Florizel and Mamillius possess: admirable, healthy qualities which promise well for the future. The sins of their fathers are purged by the virtues of the children. This is done through marriage which gives reconcilation and hope but Mamillius dies for his fathers sin.
Mamillius: Introduced as the Gentlemen of the greatest promise. He is engaging and lively probably to become a shrewd adult. His death is distressing.
Polixenes and Leontes: Could be strong mature friendship but actually its immature and regressive. They never let go of their childhood and sin appears to be attached to adulthood whereas their childhood was innocent. Growing up is not leading to maturity, self control and knowledge but a decline.
Both Kings love their sons but rather as reminders of their own innocene.