Step 1: Photoperiodism classifies flowering plants by the length of daylight or darkness needed to induce flowering.
Step 2: The three recognized categories are short-day plants (flower when day length is below a critical value), long-day plants (flower when day length is above a critical value), and day-neutral plants (flowering is not controlled by photoperiod).
Step 3: There is no established category called mid-day plants in photoperiodism, it is not used in plant physiology.
Step 4: So the type that does not exist is mid-day plants.