Map projections are a mathematical transformation of our 3D world  onto a two-dimensional plane. Once on a 2-dimensional surface, you can  observe the world on a flat, easily-transportable surface such as paper,  which offers a lot of potential for specific analyses. Different types  of map projections have different advantages. The Mercator projection,  for example, is great for navigation because it preserves angles and  directional relationships. While a projection may have undesirable  distortions, the projection may be an excellent choice for large scale  maps that provide a lot of detail. From this point of view, distortions  are necessary to observe certain features of the earth in more detail. 
The greatest potential in map projection lies in computer displays.  Having the capability of projecting maps on a computer makes it possible  to develop programs such as ArcGIS that are great tools for analyzing  the Earth’s surface. ArcGIS and other  similar software play large roles in informed decision-making. Computer  capability in analyzing the earth also simplifies and quickens  calculations and complicated analysis. In this lab, we were able to  measure the distance using any unit we selected such as degree-minutes  and miles, and the value was available with two-clicks of the mouse.  This process saves the trouble of having to measure distance on a globe  finding a bendy ruler then eye-balling and estimating the final value.  This is only one example of a basic calculation that is facilitated  through the usage of map projection.
Transforming a three-dimensional object onto a two-dimensional surface introduces certain distortions that can be a downfall of map projection as well. These distortions come in the form of shape, area, distance, or direction and are definite perils when it comes to not relaying incorrect or misleading information. It is important to understand and become familiar with how reality is distorted in order to increase geographic awareness and map appreciation.
The images above are examples of different map projection types that fall into three families: conformal, equal area, and equal distant map projections. The first 2 projections, Mercator and stereographic are conformal maps, which means they preserve the oriented angles between lines and curves. This map is used by sailors and pilots to navigate. In preserving this detail, other details become distorted such as distance and size. On the Mercator graph, for example, the distance from Washington D.C. to Kabul, Afghanistan is measured to be 10,000 miles while the actual distance measured on a 3D graph is 7,000 miles. In this case, the distance has been stretched out. The equal area and equal distance map projections similarly preserves one detail while other details are distorted. Equal area projections preserve area and equal distance projections preserve distance.
 
  
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