JP7157201B2 - Bipolar projection world map and cylindrical globe - Google Patents

Description

The present invention relates to a world map projection that can accurately display areas, distances, and angles of countries around the world, and that can also correctly read azimuths.

Many world map projections such as the Mercator projection, the Miller projection, the Lambert azimuthal equal area projection, the azimuthal equidistant projection, and the Bonne projection have been published.

However, there are many projection methods that are quite unreasonable, such as the area and shape of the country being far from the actual one, the side country being distorted compared to the front, or the round earth being deformed into a strange shape.

Some projections are partially accurate, but they are inadequate for full global maps.

The globes that have been available in the past are all those that imitate the spherical shape of the earth as they are, and there are no other shapes.

Elements required for a world map projection are correct land areas, distances, and angles, accurate latitude and longitude directions, and little distortion even at the edges of the map. , etc., but it was not possible to depict all these elements in a plan view with the conventional drawing method. Also, since there is no projection method for the globe, there was no choice but to express it in the spherical shape of the earth as it is. The present invention provides a clear and accurate world map projection which overcomes these problems, and a cylindrical globe produced by applying the projection.

First, referring to [Fig. Arrange in Incidentally, in FIG. 1, no numbers are entered for latitude and longitude in consideration of complexity, but a world map with different viewpoints can be created by assigning arbitrary numbers to longitude.

Lines of latitude are drawn at equal intervals using both straight lines and curved lines, but only the South Pole shall be developed with reference to the Antarctic Circle.

Lines of longitude originate at the poles and may be drawn as straight or curved lines, but within the 30 degrees north-south latitude, they consist only of straight lines.

If you place each point on the latitude and longitude coordinates, a map that looks like a bird's-eye view of that point is developed, and a world map with almost correct distance, area, direction, and angle is completed.

As shown in Fig. 2, when this bipolar projection is joined at the top and bottom, a cylindrical world globe can be completed, and ocean charts can be drawn on the top and bottom.

There are many maps of the world in circulation, but none of them satisfies the four elements of distance, area, direction, and angle. ing. According to the dipole projection method of the present invention, distances, areas, and directions between countries can be represented almost correctly, and angles with respect to the earth can also be displayed accurately.

It is a drawing of a world map drawn in a bipolar projection. It is a terrestrial globe in which a plan view drawn by the dipole projection is expanded on a cylinder.

Referring to FIG. 1, it is a world map with vertical lines of longitude and horizontal lines of latitude, with the eastern hemisphere at the top and the western hemisphere at the bottom.

The line of latitude is shown as a straight line from the equator up to 30 degrees north and south, and as it goes further, the straight line becomes shorter and changes to a curve following the roundness of the earth. It can be drawn as a diagram.

Similarly, lines of longitude are drawn at equal intervals, so it is possible to render a sphere, but within 30 degrees north and south, the width of longitude does not change significantly, so it is represented as a rectangle.

The reason why the South Pole is placed in the center is that it is drawn with reference to the Antarctic region, slightly deviating from the rules of the Dipolar projection.

If you follow the latitude and longitude lines and drop the points in question, you can complete a world map with a bird's-eye view of each point.

If the two pole projections developed on the plane are connected at the top and bottom, it becomes a cylinder, and it is possible to make a cylindrical globe as shown in [Fig. 2]. It is also possible to draw the reverse of an administrative map or a maritime map.

If the land is represented only by outlines, it becomes a blank map, and if the land is not drawn and is composed only of latitude and longitude lines, and arbitrary degrees are assigned, a desired world map can be created.

Claims (1)

A world map arranged vertically with the South Pole in the center of the vertical centerline, the eastern hemisphere above the center, and the western hemisphere below the center, and the lines of longitude of the eastern and western hemispheres are 90 degrees from the vertical centerline. The lines of latitude are drawn at equal intervals left and right in degrees, and the lines of latitude are shown as straight lines from the equator to the north and south of a given latitude. A world map characterized by being drawn so as to change from

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