Meaning of the depicted positions of Lord Brahma, Vishnu and Shiva

[Smt. Priyanka asked: Padanamaskaram Swami, a) Can You please explain why only Lord Vishnu and Lord Shiva are associated with snakes (Adisesha and Vasuki respectively) and not God Brahma? Similarly, is there a reason why Lord Shiva is not associated with a lotus like Lord Vishnu and Lord Brahma? b) Lord Vishnu, Who is the maintainer of this universe is generally depicted in a lying down position on Adisesha whereas Lord Brahma and Lord Shiva are depicted in seated positions. Can You please explain the meaning behind this?]

Swami Replied: - a) God Brahma is born from the very lotus flower! b) God Vishnu is the administrator, Who needs a peaceful and calm mind in thinking about the solutions for the problems of administration!!