Abstract: A spherical body map having one hemisphere centered on any given point of the body and another hemisphere centered on its antipodal point is provided in the Azimuthal Equidistant Hemispheric projection. Both hemispheres are placed side by side so to show a great circle line passing through the center and antipodal points straight. This map can show correct directions and distances from the center point to any other points on the body with realistic and recognizable shapes, even for remote continents. It can also demonstrate three important properties of this projection: directions from points along a great circle to a center point do not show the exact opposite of directions from the center point to the points; distances between any two points, not only from the center point, along a great circle line are correct; and the map is convertible from flat to three-dimensional forms.

Abstract: A spherical body map having one hemisphere centered on any given point of the body and another hemisphere centered on its antipodal point is provided in the Azimuthal Equidistant Hemispheric projection. Both hemispheres are placed side by side so to show a great circle line passing through the center and antipodal points straight. This map can show correct directions and distances from the center point to any other points on the body with realistic and recognizable shapes, even for remote continents. It can also demonstrate three important properties of this projection: directions from points along a great circle to a center point do not show the exact opposite of directions from the center point to the points; distances between any two points, not only from the center point, along a great circle line are correct; and the map is convertible from flat to three-dimensional forms.

Abstract: According to one embodiment, world maps in the Azimuthal Equidistant (AE) Hemispheric projection are formed by depicting the main hemisphere of a globe in full and the opposing hemisphere in the form of two semi-hemispheres contiguous two spaced side portions of the main hemisphere. Any city (or location) of interest in the world can be highlighted as the center point of the main hemisphere. Each of these two semi-hemispheres is movable along the circumference of the main hemisphere so that a straight line can be drawn from the center point of the main hemisphere to any other point on the two semi-hemispheres via corresponding tangent points. This straight line is a part of a great circle and will show correct distance and direction from the center point to the other point. A transparent ruler, a set of gears, a compass rose and others may be attached to this map for quicker and easier acquisition of correct distance and direction.

Abstract: According to one embodiment, world maps in the Azimuthal Equidistant (AE) Hemispheric projection are formed by depicting the main hemisphere of a globe in full and the opposing hemisphere in the form of two semi-hemispheres contiguous two spaced side portions of the main hemisphere. Any city (or location) of interest in the world can be highlighted as the center point of the main hemisphere. Each of these two semi-hemispheres is movable along the circumference of the main hemisphere so that a straight line can be drawn from the center point of the main hemisphere to any other point on the two semi-hemispheres via corresponding tangent points. This straight line is a part of a great circle and will show correct distance and direction from the center point to the other point. A transparent ruler, a set of gears, a compass rose and others may be attached to this map for quicker and easier acquisition of correct distance and direction.

Abstract: World maps for the earth's continents are formed from the continental hemisphere as a main body by attaching several sections of the oceanic hemispheres. Folding the hemispheres in half repeatedly makes near-flat disk maps of the both hemispheres. Other methods of producing world maps with less distortion are provided. These maps show that the earth's continents originated concurrently and did not change their shapes much since then. This also supports the inventor's hypothesis that a gigantic meteor-like body broke up in the air and fell as chunks of lava onto a proto-earth covered solely by the ocean.