The 121st meridian east is a line of longitude that is 121 degrees east of the Prime Meridian, which runs through Greenwich, London. This meridian runs from the North Pole to the South Pole and passes through several countries and regions. In the Northern Hemisphere, the 121st meridian east crosses through parts of Russia, Mongolia, and China. In the Southern Hemisphere, it passes through areas of the Indian Ocean and some islands.

The 129th meridian west is a line of longitude that is located 129 degrees west of the Prime Meridian. It runs from the North Pole to the South Pole and passes through parts of Canada and the United States, primarily traversing the western regions of these countries. Specifically, in the U.S., it crosses through the state of Alaska and portions of the states of Washington, Oregon, and California, among others.

The 127th meridian east is a line of longitude that is 127 degrees east of the Prime Meridian, which is located at 0 degrees longitude. This meridian crosses several regions as it travels from the North Pole to the South Pole. In the Northern Hemisphere, it passes through parts of Russia, Mongolia, China, and the Korean Peninsula. In the Southern Hemisphere, it crosses through parts of the ocean as well as areas of Antarctica.

The 132nd meridian east is a line of longitude that is located 132 degrees east of the Prime Meridian. It runs from the North Pole to the South Pole, passing through various geographical locations. Notably, it crosses through several countries, including Russia, Japan, and Australia. In Japan, the meridian passes through various islands, including parts of Hokkaido and the Ogasawara Islands. In Australia, it traverses through parts of the Northern Territory and Queensland.

The 132nd meridian west is a line of longitude that is 132 degrees west of the Prime Meridian, which is located in Greenwich, London, UK. This meridian runs from the North Pole to the South Pole and crosses various countries and bodies of water. In the United States, the 132nd meridian west primarily traverses through the state of Alaska. It is significant in geography and navigation for its role in defining time zones and conducting surveys.

The 136th meridian east is a line of longitude that is 136 degrees east of the Prime Meridian, which is the reference line for longitude that runs through Greenwich, London, United Kingdom. This meridian runs from the North Pole to the South Pole and passes through several regions, including parts of Russia, Japan, and the Pacific Ocean. Geographically, it is used in navigation and mapping to help locate positions on Earth.

The 144th meridian east is a line of longitude that is 144 degrees east of the Prime Meridian, which is defined as 0 degrees longitude and runs through Greenwich, England. The 144th meridian east is used in geography and navigation to help specify locations on the Earth's surface. Geographically, the 144th meridian east passes through several countries, including parts of Russia, Japan (specifically Hokkaido), and the Pacific Ocean.

The 154th meridian west is a line of longitude that is 154 degrees west of the Prime Meridian, which is located at 0 degrees longitude. It runs from the North Pole to the South Pole. In terms of its geographic location, the 154th meridian west passes through the Pacific Ocean and is close to the Aleutian Islands of Alaska, which makes it significant for navigation and geography.

The 145th meridian east is a line of longitude located 145 degrees east of the Prime Meridian, which is defined as 0 degrees longitude. The meridian runs from the North Pole to the South Pole and passes through several regions, including: 1. **Northern Hemisphere**: - Japan (the meridian runs through the eastern part of the country, including areas such as Hokkaido). - Parts of Russia (particularly in the eastern region).

The 14th meridian west is a line of longitude located 14 degrees west of the Prime Meridian, which is the line of longitude defined as 0 degrees and runs through Greenwich, England. Geographically, the 14th meridian west passes through several countries in Europe and Africa. In Europe, it crosses parts of western Norway and central Sweden. As it continues southward, it passes through countries such as Denmark, Germany, and Austria.

The 158th meridian west is a line of longitude located 158 degrees west of the Prime Meridian, which is the line of longitude defined as 0 degrees. This meridian runs from the North Pole to the South Pole and crosses through various regions of the Earth. In terms of geographical context, the 158th meridian west runs through parts of the Pacific Ocean and passes close to, or through, some territories and islands, including portions of the Aleutian Islands in Alaska.

The 15th meridian east is a line of longitude that is 15 degrees east of the Prime Meridian, which is located at 0 degrees longitude. It runs from the North Pole to the South Pole, passing through several countries in Europe and Africa. In Europe, the 15th meridian east passes through countries such as Norway, Sweden, and Germany. In Africa, it crosses through countries like Algeria and the Democratic Republic of the Congo.

A permutohedron is a geometric structure that represents all possible permutations of a set of elements. Specifically, it is a type of polytope in which each vertex corresponds to a distinct permutation of a given set of integers. In more detail, the permutohedron can be defined as follows: 1. **Vertices**: Each vertex of the permutohedron corresponds to a unique permutation of a set of \(n\) elements.

The 174th meridian east is a line of longitude that is located 174 degrees east of the Prime Meridian. It runs from the North Pole to the South Pole and is one of the meridians used in the geographic coordinate system to define locations on the Earth's surface. Geographically, the 174th meridian east passes through various regions, including parts of the Pacific Ocean and is close to the International Date Line.

The 32nd meridian west is a line of longitude that is 32 degrees west of the Prime Meridian, which is located at 0 degrees longitude. This meridian runs from the North Pole to the South Pole and passes through several countries and regions as it crosses the globe.

The 39th meridian west is a line of longitude located 39 degrees west of the Prime Meridian, which passes through Greenwich, England. To find the location corresponding to the 39th meridian west from Washington, D.C., you would measure the degrees west from the Prime Meridian. Washington, D.C. is located at approximately 77 degrees west longitude.

The 165th meridian west is an imaginary line of longitude located 165 degrees west of the Prime Meridian, which is at 0 degrees longitude. This meridian runs from the North Pole to the South Pole and passes through the Pacific Ocean. In terms of geography, it traverses several territories, including parts of the Aleutian Islands in Alaska and various remote islands in the Pacific Ocean.