The name AuthaGraph is from authalic and graph which was invented by **Japanese **architect** ****Hajime Narukawa** in the year **1999**. AuthaGraph is a rectangular world map made by an equal division of a **spherical surface into 96 triangles**, transferring it to a tetrahedron while maintaining the area proportions and unfolding it to be a rectangle.

There was** ****no perfect resolution** in representing a spherical image on a rectangular piece of paper. In its long history, Mercator projection is one such previous art which fits in a rectangle and has been familiar for 440 years, since it has guided explorers to the new world. Thus** ****existing maps contain distortion** when transforming an entire sphere to a rectangle; they are unable to fit the outline in a rectangle without gaps, therefore, called **mechanical vignetting**.

The proposed AuthaGraph map was developed by **multi-layers of projections** via a **tetrahedron**. By this method, it is able to transform an entire sphere to a rectangle and it **substantially keeping shapes and sizes of continents** such as the Dymaxion map.