I’d like to have each page a 1/4 the size of a regular piece of paper, in a booklet style, printing on the front and back, and have 4 pages per page one side of piece of paper.
That way I can cut the page in half and minimize the amount of paper I use while making a quarter page size booklet I can keep in my pocket.
When you said “regular” piece of paper, are you talking about A4 or letter size ?
If you are using A4 the answer is quite easy, get a pack of A5 paper and print on it using the book mode of it printer. It will automatically organize the sheets in the right order. Then with a stapler you can attach them all together.
If you are using the American standard … Good luck.