(a)   Any person running or putting wires or lines through, by or above a tree in the City shall exercise such care in so doing as not to destroy the beauty and symmetry of trees for ornamental and shade purposes. No person shall mutilate, cut or prune a tree without the permission of the Director of Public Works or without the supervision of the Director.
   (b)   No person shall purposely, knowingly or recklessly cut, destroy, mutilate or otherwise injure a tree growing in the streets of the City, or in any public park thereof, or climb any such tree by means of metallic climbers, or attach or connect any wire thereto, except as otherwise provided in subsection (a) hereof.