K2 argued in his account of the ascent of Gasherbrum IV that while the name of K2 owes its origin to chance, its clipped, impersonal nature is highly appropriate for so remote and challenging a mountain. He concluded that it was: Andre Weil named K3 surfaces in mathematics partly after the beauty of the mountain K2. K2 lies in the northwestern Karakoram Range. It is located in the Baltistan region of Gilgit–Baltistan, Pakistan, and the Taxkorgan Tajik Autonomous County of Xinjiang, China. The Tarim sedimentary basin borders the range on the north and the Lesser Himalayas on the south. Melt waters
Trans-Karakoram Tract inhospitable areas of the world, with some of the highest mountains. Bounded by the Kun Lun Mountains in the north, and the Karakoram peaks to the south, including Broad Peak, K2 and Gasherbrum, on the southeast it is adjacent to the highest battlefield in the world on the Siachen Glacier region which is controlled by India. Historically the people of Hunza cultivated and grazed areas to the north of the Karakoram, and the Mir of Hunza claimed those areas as part of Hunza's territories. Those areas included the Raskam Valley, north of the Shaksgam Valley. In 1889 the first expedition