Final answer:
The question addresses the use of dot notation, which could relate to several different scientific and mathematical contexts. The inquiry lacks detail on whether it pertains to electron dot notation in chemistry or a different use in mathematics, such as multiplication or sequences. Clarity on the subject is necessary to provide an accurate set of rules.
Step-by-step explanation:
The question seems to be referring to the concept of pattern recognition and intuition in mathematics, similar to how we understand and arrange sentences in English grammar. The student is being asked about creating a set of rules for doing dot notations, which could refer to a number of mathematical or scientific contexts. However, if the question is about electron dot notation in chemistry, typically used to represent the valence electrons of an atom, it would be outside the scope of mathematics. It's important to clarify the context before defining the rules.
For mathematics, dot notation might refer to the use of dots to represent multiplication, or in sequences and series to extend a given pattern. Yet, without more details about the specific application of dot notation in question, we cannot provide a factual set of rules.