Whenever the owner of any property has made provisions for off-street parking by providing spaces of at least the minimum size required by §
112-7 of the Zoning Regulations, has permanently striped the same and has requested the Town to regulate parking thereon, the Town will post one or more signs warning the public that parking is allowed only within designated spaces, and thereafter it shall be unlawful to park any vehicle across any line or marking designating a parking space or to park a vehicle so that the same shall not be wholly within a space as designated by such lines or markings. Upon written request of the owner of such property, the Town will remove any such sign or signs, and the provisions of this section shall not apply to such property thereafter.