No vehicle shall be placed with the left side of the vehicle at the curb except on the left hand side of one-way streets and it shall be unlawful to stand or park any vehicle in a street other than parallel with the curb and with the two closest wheels of the vehicle within 12 inches of the regular established curb line or edge of pavement, except upon those locations which have been designated for angle parking, in which instance vehicles shall be parked at the curb at the angle indicated by street markings.
(1980 Code, § 20.509)  Penalty, see § 74.99