Eyeglasses and clip-ons are improved by providing housings for magnets for securing the clip-ons in a uniblock also incorporating one or more of the following: part of a closing block, an end piece, and part of a hinge. The determining method determines the transition point of the sequence having N numbers, wherein the sequence is composed of a first value and a second value and N is a positive integer. The housing may include top and bottom members that may be removably coupled together so as to form the housing. The lid domes allow expelling of air during closing of the case to maintain good hydration of the lenses. The model train picks up the modulated signals, retrieves the entered command, and executes it through use of a processor and associated control and driver circuitry.