阅读说明：本技术 一种书籍及其使用方法 (Book and using method thereof ) 是由 张雨辰 张小川 于 2019-03-15 设计创作，主要内容包括：本发明涉及一种书籍及其使用方法,该书籍,无论是横排本还是竖排本,文字的直立方向与书脊相垂直并指向书口。书的页码是以连续自然数排列的,可表为：a<Sub>1</Sub>,a<Sub>2</Sub>,a<Sub>3</Sub>,a<Sub>4</Sub>,a<Sub>5</Sub>…a<Sub>i</Sub>,a<Sub>i+1</Sub>,…a<Sub>n-1</Sub>,a<Sub>n</Sub>。将书籍的每一页纸分为正面页和反面页,例如：设定a<Sub>1</Sub>…a<Sub>i</Sub>是正面页,则a<Sub>i+1</Sub>…a<Sub>n</Sub>就是反面页。反之,亦然。并将所有正面页或反面页分别归集为独立的编码体系。阅读时,可以连续地从上往下翻,也可以连续地从下往上翻。从上往下翻页的翻页操作法,指的是：书平放时,a<Sub>1</Sub>页正对读者；而从下往上翻页的翻页操作法,指的是：书平放时,a<Sub>1</Sub>页的反面正对读者。本发明简化了文献ZL 201110455454.4所公开的一种新构造书籍的阅读翻页操作过程。(The invention relates to a book and a using method thereof, wherein the book is a horizontally arranged book or a vertically arranged book, and the vertical direction of characters is vertical to the spine of the book and is directed to the book opening. The page numbers of the book are arranged in a continuous natural number and can be represented as: a is 1 ，a 2 ，a 3 ，a 4 ，a 5 …a i ，a i+1 ，…a n‑1 ，a n . Each page of the book is divided into front and back pages, for example: setting a 1 …a i Is a front page, then i+1 …a n The reverse page. And vice versa. And all the front pages or the back pages are respectively collected into an independent coding system. When reading, the book can be continuously turned from top to bottom, and also can be continuously turned from bottom to top. The page turning operation method for turning pages from top to bottom refers to the following steps: when the book is laid flat, a 1 Pages are facing the reader; the page turning operation method for turning pages from bottom to top refers to the following steps: when the book is laid flat, a 1 The reverse side of the page is facing the reader. The invention simplifies the reading and page turning operation process of a new constructed book disclosed in the document ZL 201110455454.4.)

1. The invention relates to a book, wherein the book is a horizontal book or a vertical book, the vertical direction of characters is vertical to a book spine and is directed to a book opening, and the page number of the book is arranged by using a natural number sequence: a is₁，a₂，a₃，a₄，a₅...a_i，a_i+1，...a_n-1，a_nThe method is characterized in that: setting a₁...a_iIs a front page, a_i+1...a_nIs a reverse page, a₁...a_nIs a continuous natural number, the reading sequence is that according to the continuous natural number page number, the front page is continuously read or the reverse page is continuously read, the rotation direction of the turned page is consistent with the rotation direction of the upright characters on the page relative to the spine, and a₁...a_iPart of the natural number pages being in ascending order and the reverse page being at a₁...a_iThe natural number page number is also in ascending order, called ascending order; in the same way, a₁...a_iPart of the natural number pages being in ascending order and the reverse page being at a₁...a_iThe natural number page number is a phenomenon of descending order, called ascending and descending order.

2. A book according to claim 1, wherein: the ascending subtraction is a constant series, and the addition is an arithmetic series with the tolerance equal to 2; the ascending and descending order of addition is a constant sequence, and the subtraction is an arithmetic sequence with a tolerance equal to 2.

3. A book according to claim 1, wherein: a page turning operation from₁To a_nThere are two cases: firstly, pages are turned from top to bottom, and secondly, pages are turned from bottom to top, and the typesetting method is a ascending and descending order.

4. A book according to claim 1, wherein: a page turning operation from₁To a_nThere are two cases: one is a₁...a_iTurning the page from top to bottom, a_i+1...a_nTurning the page from bottom to top, secondly a₁...a_iTurn the page from bottom to top a_i+1...a_nAnd turning pages from top to bottom, wherein the typesetting method is ascending.

5. A method of using a book according to claim 3, wherein: the typesetting method can be changed into ascending and descending order from a₁To a_nThe page turning operation of turning the page from top to bottom is changed into the page turning operation of turning the page from bottom to top, and vice versa.

6. The use method of a book according to claim 4, wherein: the typesetting method can be a rising order a by adopting the method of rearranging the page order of the paper with the typesetting₁...a_iFrom the top to the top, a_i+1...a_nTurn page from down to change to a₁...a_iTurn the page from bottom to top a_i+1...a_nThe page turning operation of turning pages from top to bottom and vice versa.

The technical field is as follows:

the invention relates to a book and a using method thereof.

Background art:

document ZL 201110455454.4 discloses a new book of construction, whether horizontal or vertical, with the upright direction of the text perpendicular to the spine and directed towards the opening. From the attached drawings, the page numbers are arranged in a continuous natural number, and the page numbers embodied in the front and the back of each page are arranged continuously, namely the subtraction of the page numbers on the front and the back of each page is equal to 1. When reading, the pages cannot be turned continuously in the same direction, that is, the whole book needs to be turned over and the next page needs to be read when the pages are changed.

The invention content is as follows:

the invention aims to provide a book which enables the newly constructed book to be continuously turned in the same direction without turning the book integrally and a using method thereof.

In order to solve the technical problem, each page of the book is divided into a front page and a back page, and all the front pages or the back pages are respectively collected into an independent coding system.

For example, the page number arrangement of a book is represented by the following natural number sequence:

a₁，a₂，a₃，a₄，a₅...a_i，a_i+1，...a_n-1，a_n①

setting a₁...a_iIs a front page, then_i+1...a_nThe reverse page. Order: a is_i≥a_n-a_i: when a is_i＝(a_n-a_i) When a is_nIs an even number; when a is_i＞(a_n-a_i) When (a)₁...a_i) A single page with one side empty will appear, the number of single pages being indicated by k.

Then k is a_i-(a_n-a_i)＝2a_i-a_n②

The number sequence of the front page and the number sequence of the back page are matched as follows:

1).a_iis a double-sided page:

a_k+1，a_k+2，a_k+3，...a_i③

a_i+1，a_i+2，a_i+3，...a_n④

a_n，a_n-1，a_n-2，...a_i+1⑤

2).a₁is a double-sided page:

a₁，a₂，a₃，...a_i-k，...a_i⑥

a_i+1，a_i+2，a_i+3，...a_n⑦

a_n，a_n-1，a_n-2，...a_i+1⑧

according to the above rules and equation (i) …:

the subtraction or addition of the page numbers on the front and back sides of any page (excluding the single-sided page with an empty side) is hereinafter referred to as subtraction or addition.

And c, matching, and subtracting is a constant sequence: (i-k); the addition is an arithmetic series with a tolerance equal to 2;

and c, collocation and addition are a constant sequence: (n + k + 1); the subtraction is an arithmetic series with a tolerance equal to 2.

Sixthly, the components are matched, and the subtraction is a constant number sequence: (i) (ii) a The addition is an arithmetic series with a tolerance equal to 2;

sixthly, the matching is carried out, and the addition is a constant sequence: (n + 1); the subtraction is an arithmetic series with a tolerance equal to 2.

Let a_iM. When a is_nIf the number is even, take a_n2m, k is 0; when a is_nIf the number is odd, take a_n＝2m-1，k＝1。

Satisfying the above conditions can result in:

scheme 1 is: the subtraction is equal to m. (a)_n2 m; or a_n2m-1, and a_mAs a single-sided page).

Scheme 2 is: the subtraction is equal to m-1. (a)_n2m-1, and a₁As a single-sided page).

Scheme 3 is: the sum is equal to 2 m. (a)_n2m-1, and a_mAs a single-sided page).

Scheme 4 is: the sum equals 2m + 1. (a)_n2 m; or a_n2m-1, and a₁As a single-sided page).

The combination of ③ and ④, ⑥ and ⑦ is called ascending order combination, the combination of ③ and ⑤, ⑥ and ⑧ is called ascending order combination, the ascending order and the ascending order are not limited to the above-listed number sequence combinations, for example, the ascending order refers to a of a book₁...a_iPart of the natural number pages being in ascending order and the reverse page being at a₁...a_iThe natural number pages are also arranged in ascending order in the direction of (1); similarly, ascending and descending order refers to a of the book₁...a_iPart of the natural number pages are in ascending orderIts back side is at₁...a_iThe natural number pages are arranged in descending order.

The book using method and page number arrangement setting are also suitable for a_i＜a_n-a_iNote that formula ① can be included as an entirety of or as a part of this specification.

The invention has the beneficial effects that: the pages can be continuously turned in the same direction during reading, namely, the whole book does not need to be turned over during reading and page changing, and the reading and page turning operation process of the newly constructed book is simplified.

The specific implementation mode is as follows: