World map in which areas on any region passing through same latitude line are equal

Abstract

To provide a world map in which a correct land part area is reflected, the world map being drawn on a flat surface.SOLUTION: In expanding a world map on a flat surface, since a three-dimensional sphere is expressed in a two-dimensional state, distortion in any or all of an area, shape, bearing and distance of a land part should occur, however, a method of the invention is for correctly expressing the land part area. The earth is divided into quarter-sphere drawings, and an outer peripheral curve having a length equal to 90 latitude, and 90 longitude obtained by laterally dividing the equator are connected on an extension of 45 latitude, for expressing roundness of the earth on the flat surface drawing. By equally dividing and coupling respective outer peripheral lines, areas on any region passing through the same latitude are equal, and on the equator, a longitude with a regular width becomes narrow as approaching a pole, and becomes 0 at the pole. By arranging the coordinate of the land part on the drawing where the only latitude and longitude are drawn, the world map has a correct area on any region.SELECTED DRAWING: Figure 1

Description

[Technical Field]

[0001] The present invention relates to a world map projection that aims to accurately represent land areas on a flat surface. [Background technology]

[0002] Many world map projections have been published in the past.

[0003] However, both have drawbacks, such as the area and shape of land being far from reality, and the sides being distorted compared to the front.

[0004] When a three-dimensional shape (such as the Earth) is displayed in two dimensions, distortion generally occurs, making it impossible to simultaneously display the area, angle, distance, etc. correctly.

[0005] If that is the case, it would be meaningful to accurately represent at least the area of ​​each of them. Summary of the Invention [Problem to be solved by the invention]

[0006] Required elements of a world map include the correct area and shape of each land mass, the correct distance and direction, and the absence of distortion or warping even at the edges of the map, but conventional projection methods have not been able to depict these elements on a flat surface.The present invention is a world map projection that attempts to accurately depict the area of ​​land masses, one of these elements, on a flat surface. [Means for solving the problem]

[0007] To be considered an equal-area projection, the area of ​​any region must be the same anywhere along the same latitude line.

[0008] To do this, the length of the 90 latitude degrees in the center, the 90 latitude degrees on the outer periphery separated by 90 degrees, and the length of the 90 longitude degrees dividing the equator horizontally must all be the same if the Earth were a perfect sphere.

[0009] At the intersection of the horizontal extension of the 45th degree latitude line in the center, the perimeter and the curve of the equator are connected to form a line the same length as the straight line 90th degree latitude.

[0010] If you divide the latitude and longitude into equal parts and connect them with lines, the areas of any regions that pass through the same latitude line will all be equal in area.

[0011] If you plot the relevant land points on the quadrant map, you get an equal-area world map. [Effects of the Invention]

[0012] This world map allows users to intuitively understand the shape of land and correctly recognize the relative sizes of each continent and island. [Brief explanation of the drawings]

[0013] [Figure 1] The Earth is divided into four quarters, with the length of the outer perimeter curve equal to the 90 degrees of latitude at the center, and the curve dividing the equator horizontally is also the same length as 90 degrees of longitude. According to this diagram, to get 10 degrees of latitude, the outer perimeter is divided into nine equal parts and connected to the corresponding sections, so that any part of the drawing will have 10 degrees of latitude. If the equatorial division line is divided into nine parts and connected to both poles, the longitude will be 10 degrees at the equator, but narrows as you approach the poles, reaching 0 at the poles. By placing the land area on the coordinates shown, you will get a world map with accurate area. DETAILED DESCRIPTION OF THE INVENTION

[0014] [Figure 1] shows the eastern and western hemispheres arranged on the left and right, but it can also be drawn with Japan at the front, and the area of ​​each landmass will still be displayed correctly.

[0015] By arbitrarily choosing the central longitude line, it can also be used as an oceanographic chart.

[0016] In theory, if the intervals between latitude and longitude lines are subdivided, it is possible to make an equal-area world map infinitely larger.

Claims

[Claim 1] A world map in which all areas passing through the same latitude line have the same area.

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