Vasya Pupkin is writing at the moment: he sets out his stream of thoughts in a block notebook. But then Vasya had a misfortune: the page ended. And moreover, on the right page of the spread, which is very unpleasant. This means that if in order to write the next portion of his thought, Vasya needs to have the previous step in front of his eyes, then Vasya will have to wind a piece of paper back and forth.

Common situation? Oh, these transfers of the equal sign between turns ... It is about this problem and how you can make sure that the insidious notebook will never interrupt your flow of thoughts again, I want to talk about.

Vocabulary

Sheet - a regular physical sheet of paper.
Page - the sheet has two sides, each of them will be called a page.
Reversal - Consists of two pages lying before the eyes, each of which belongs to its own sheet (therefore, one can also say that the spread consists of two sheets).
Page flip right - take the right sheet of the spread and turn it, thereby making it the left sheet of the next spread.
Turning the page to the left - the same, only the left sheet is rotated.

All subsequent words that have the meaning of the entered terms are further underlined. And the introduction of new terms along the way is highlighted in bold.

Preconditions

Let's denote the assumptions under which we work: Vasya Pupkin is a very rational student, so he writes in a block notebook. At the same time, when Vasya writes, he takes out sheets from a notebook, because the rings interfere with writing. Also, since Vasya is a rational person, everything page numbered (in case they fall and crumble).

How to write

Usually people write from left to right. And within reversal Fill in the left side first reversal, then right. When spread ends, the person moves on to the next reversal (flips the page to the right). Schematically, this can be represented as follows:

Here the red arrow means the transition from the left page reversal to the right, and the green arrow page flip right.

General Reflections

Here are general reflections on the problem posed, which make it possible to understand that the solution proposed in the end is rationally correct. If you wish, you can immediately go to read the next section with a description of the correct solution.

Obviously, writing should be carried out in such a way that each next web-page located on sheet different from the previous one, otherwise there will be the same winding list from side to side. And if each next web-page will be located on sheet different from the previous one, then at the right time we can simply put this previous one in front of us sheet and not interrupt our thought. This requirement imposed on the solution will be called the main.

Version 1.0

One of the first solutions that comes to mind: let's write only on the right pages reversal. Thus, we do not even have such a concept as spread. We have a stack sheetswhere we only write on one side of all sheets.

Cons: waste of resources. We could write twice as much with the same amount of paper

Version 1.1

Let's improve solution 1.0. We will continue to write only on one side list. But when we need to write something else, we use the same sheets, only now we write exclusively on the other side (lectures on matan - on the left parts reversal, lectures on algebra on the right)

Cons: no solidity, i.e. on one sheet materials that do not have a logical connection with each other are placed. This is fraught with the fact that if you need to share lectures on matan with a classmate, then you automatically give him algebra as well (and if there is an exam in algebra tomorrow and you need these notes now! Uhh). Well, with an unequal amount of material in algebra and mathematics, we again have a situation of wasting resources.

Version 2.0

The model with a stack of papers showed a bad side. Let's go back to the model U-turns: what if you alternate the directions of writing within reversal? Those. on the first reversal left to right, second right to left, third again left to right... Main the solution satisfies the condition.

Cons: broken linearity (“this way, that way”). It is very uncomfortable. We must remember in which direction we wrote on the past reversal. Ultimately, someday we will make a mistake (and this will happen according to the law of meanness precisely at the moment when we need to transfer the equal sign between U-turns).

Version 2.1

Why do we make it hard to remember how we wrote? Let's just within reversal First fill the right side, and then the left? Yet again, main the requirement is not broken.

Hmmm. And this solution actually works! Your obedient servant wrote in this way for a year and a half.

The minus is actually not so obvious and was revealed only during the use of this technique: when you send scanned / photographed sheets with records, then you constantly need to explain to people what the hell is going on with pages. Good thing we number page (see preconditions) and this makes things easier, but unaccustomed people get confused. Generally speaking, I did not consider this minus as a minus, since the technique solved the problem posed and it didn’t matter that people from outside were uncomfortable.

It is clear that sorting through the versions of writing can go on and on. Speaking within U-turns, then, taking into account the requirement linearity, we have only two levers that we can apply pressure on: the direction of writing within the reversal, and paging direction pages. Those. only 4 variations… Whoa, scrolling direction?

Solution (version 2.2)

And then we come to a rationally correct solution, which I have been practicing for a year now and am completely satisfied.

Here the blue arrows mean page turning left. Those. the spread is filled in as usual from left to right, and the flip pages goes in the opposite direction from the usual.

When a situation occurs, you need to have before your eyes the previous Page, then within reversal everything is clear, but if this unfortunate need overtook us between U-turns, this means that we have now switched to a new spread and going to write on the left side reversal, and the previous web-page located directly below sheet, which is currently the right side reversal, and you just need to put it aside in order to gain access to the treasured information.

During the year of the beta test of this technique, no significant disadvantages were found, compared to version 2.1, it’s generally good: you can scan records and then read them and not even suspect that paging happened in the other direction. It has also been noticed that this technique is easier to perceive by your own brain and the brain of others when you explain it to them for the first time.

Conclusion

— And now what? Should I change my writing habit?
If you consider yourself a rational person, then yes! There are no disadvantages compared to the usual method (it is possible only in some specific situations), but there is a profit.

Source: habr.com